ML20062J501

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Test Rept on Allis-Chalmers 6-Inch Streamseal Butterfly Valve in Air Concerning Nuclear Containment Isolation Valves
ML20062J501
Person / Time
Site: Big Rock Point File:Consumers Energy icon.png
Issue date: 12/17/1979
From: Goldman H, Schwarz P, Zeiders R
ALLIS-CHALMERS CORP.
To:
Shared Package
ML20062J500 List:
References
VER-0209, VER-0209-01, VER-209, VER-209-1, NUDOCS 8010290290
Download: ML20062J501 (146)


Text

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1' A-C 12*/17/79 O

VER-0209 A.-

Test Report on an Allis-Chalmers 6" STREAMSEAL Butterfly Valve in Air concerning Nuclear Containment Isolation Valves O

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Contents i

Item Page No.

i Introduction 1

Summary 1

6 Test Procedure 2

l Measured variables 4

Torque Calculations 5

Calculating Torque Values for Field Applications 6

Test Results 7

L Conclusions 8

Schematic of Test Installation 10 t

Curve Plots Appendix I Tabulated Data J

u l

Photographs - Streamseal BFV Appendix II i

Schematics Appendix III BFV Test Orientation Drawings Appendix IV i

Strain Gage location on shafting I

b i

t I

4 A

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1

==

Introduction:==

The purpose of this program was to observe and document

'J7 the performance of an Allis-Chalmers Streamseal 6" 1

Butterfly Valve.

The testing performed was under specified air pressure conditions, to determine torque coefficients applicable to this type of valve.

The test program is intended to serve as a model for larger valves manufactured by Allis-Chalmers, presently installed in various installations around the country.

The coefficients thus developed by the testing method may then be applied to the larger on-site valves to determine the required actuator capacity under dynamic conditions, and to determine shaft stress levels.

The test procedure was designed to obtain data concerning four areas of investigation:

i 1.

Valve closure rate versus time under dynamic conditions.

IE:

Constant or variable closure rate.

2.

Flow direction through valve.

How valve performance and shaft torques are affected by flow direction, & AP 4

across the valve.

What effects the change in pressure across the valve has on performance, and if actual conditions conform to prior published performance data for velve sizing.

3.

The effect of the piping sys, tem on the valve installations.

T5 How the existence of piping, elbows, sudden enlargements, affects valve performance, closure times and shaft stresses.

4 4.

The effect of valve disc and shaft orientation to j

the fluid mixture egressing from the containment.

Summary:

The information contained within this report is the result of a series of test runs performed on an Allis-Chalmers E" Streamseal Butterfly Valve, in response to utility inquiries regarding various valves installed in Nuclear Power plants.

With the information contained herein, an accurate assessment of a given Allis-Chalmers butterfly design in isolation containment service may be obtained within the range of specified inlet pressures.

The uppermost concern in this analysis is the determination that both valve actuator and shaft size are adequate i

to perform as required during pressure conditions specified by the utility.

A series of tests were performed over a range of inlet pressures from 60 psig to 10 psig.

Through data collection and calculation, a tabulation of torque coefficients (C ) was obtained, that enabled prediction of valve torques for T

the same pressure conditions, for any size Allis-Chalmers butterfly valve of the same disc thickness / diameter ratio and of similar design.

Application of the C value will yield a i

maximumappliedshafttorqueandwillalIowcomparisonof maximum allowable shaft torques and actuator capacities under specified inlet conditions.

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i Procedure:

The procedure outlined below describes the testing and

[

evaluation of one Allis-Chalmers Streamseal Butterfly Valve, equipped with a Limitorque Electric Motor Actuator Model No. HOBC/SMC-04 with a minimum rated output of 150 ft-lbs.

[

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at 5.2 seconds for 90 degrees rotation.

The valve was tested by mounting it in the blow-down stack of the Low l

Pressure Turbulence Tunnel installation located at NASA i

Facility Langley Research Center, Hampton, VA.

All data

[

was collected by monitoring inccming signals transmitted to equipment located in the adjacent tunnel control room.

t Testing cor.sisted of data gathering with the valve secured

[

in two mounting installations, various valve positions l

relative to the elbow centerline, and with three types of l

valve configurations incorporating distinct disc thick-i ness ratios.

Refer to Figs. 758 for comparative thickness.

This

[

approach allowed study of valve performance under various expected mounting profiles, to obtain the maximum amount of j

information within the capacity of the test facility.

}

l u

The procedure intended to present the valve with similar conditions as experienced by valves installed in the actual facilities.

As variations in performance for butterfly valves are known to be affected by valve mounting configuration,

{. -

valve position in the line, and disc thickness, the valve s_,. -

was mounted in a series of positions relative to the air stream as outlined below:

A.

Elbow in/ pipe out installation j

t j

1.

Flat Face Upstream I

i j

a.

Shaft in plane with elbow f

l b.

Shaft 90' out of plane of elbow 2.

Curved Face Upstream 1

a.

Shaft in plane l

b.

Shaft 90* out of plane l

The above series of test positions were performed for i

the standard full thickness disc.

For 6+20" BFV's all l

j.

150 lb. rated t/d=.29.. Two thinner t/d ratios

-[

l (t/d=.17, and t/d=.12) represent alternate valve constructions as dictated by the pressure rating of the i

full-scale valves installed in the field, for valves above

~~

l 20" dia.

i r

I An elbow inlet / pipe outlet installation was dictated by the j

physical constraints of the test area (See Fig. No.

A

),

and by cognizance that certain installations would present i

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piping configurations less than an ideal straight pipe in/

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l straight pipe out arrangement.

Therefore it was considered fg appropriate for purposes of the test program that an elbow inlet installation represented a worse-case situation, thereby

,I covering most conditions expected to be experienced in the field.

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It is known that different torque behavior will be experienced l

by the valve, as a function of disc angle of attack to the

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flowstream, with an elbow inlet installation, due to flow E

separation as the fluid curves about the inner radius of the elbow. In additien to changes in torque characteristics relating to flow separation near elbow, the flow through an elbow will require an acceleration of the fluid on the outside radius o

in an attempt to keep pace with the fluid on the inside radius.

This effect causes a velocity difference across the cross section

)

of the elbow, and hence a pressure difference occurs in the elbow.

Also, this test program confirmed that a higher torque will be experienced by the valve shaft when the curved side of the dise (body seat downstream) is facing the upstream side of the flow.

The forces on the valve shafting were minimized when the flat (body seat upstream) face of the disc was installed upstream, along with the shafts inplane with the elbow radius.

See Figs 9 & 10.

An offset disc exhibits the above characteristics due to the assymetry of profile that the disc presents to the flowstream.

Unlike a lens type disc with a symmetrical profile and consequent unidirectional torsional loading, an offset disc will apply a distinctly positive or negative rotational loading to the shaft depending on whether the disc geometry presented to the flowstream will be the curved side of the disc upstream (body seat downstream) or the flat side upstream (body seat upstream).

This effect will f"*

tend to make the disc attempt to close in the case of the curved side being upstream, or conversely tends to open with the flat face upstream.

Torque coefficients generated from this data will exhibit a positive sign when the valve tends to close, and a negative sign when the valve tends to open.

See Figs. 9 & 11.

The testing procedure consisted of obtaining a maximum pressure level of 60 psig with the tunnel pressurization system, opening the tunnel shut-off valve, (See Fig.

A

) and i

subjecting the test valve to tunnel pressure with the test valve disc in the open position (90*).

t While the test valve was under pressure conditions, a series of three open to close cycles were performed.

The valve l

was then returned to the open position, and the tunnel pressure allow to decay to the next 10 psig pressure increment, where the triple cycling was again performed.

In this manner the valve was tested, while recording data, until tunnel pressure had decayed to below 10 psig.

A series of data plots were obtained for each pressure level.

For each disc thickness and shaft / elbow plane relationship, a test number was assigned.

Disc thickness is expressed as a t/d ratio meaning the ratio of the disc thickness to the disc diameter.

This expression then identifies a particular profile that a disc would present to the flowstream in the wide open position.

The test number identified valve disc geometry and method of valve installation (See Addendum I From this data, a shaft torque for a given AP was calculated for a given inlet pressure, and therefore a corresponding C, for i

i the condition was obtained.

All thr9e disc ratios were tested 1

in this manner.

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Measured Variables:

t#

Five variables pertaining to shaft torque calculation were measured and recorded during the testing process.

(Refer to Appendix #

I for typical examples of recorded data).

The initial variable of interest was the pressure drop across the valve, therefore an upstream pressure variable PT1,and a dcwnstreampressurevariableP[2 were recorded.

For both pressure variables, stati and velocity head (total line pressure) (expressed mathematically 2

Pressure P=P +pv, where Pg = static g

Eg pressure and p V dynamicepressure

=

2g or velocity head were measured.

Points of pickup were at the extreme upstream end of the elbow flange for upstream pressure P

and midway along the length (5 diameters) of exit pipe for dbw,nstream pressure P2 Pressure pick-up was by means of double orifice totaling pitot tubes (Prandtl type) leading to strain-gage diaphragm type pressure transducers located sufficient distance from the point of pickup to minimize distortion due to system vibration.

Secondly, torque measurement as a function of flow velocity (or valve disc angle) was a requirement.

Therefore strain gages of good commercial quality were mounted on the shafts in an area between the valve disc and the valve actuator.

The strain gauges were connected in a temperature compensated wheatstone bridge network to the strip chart recorder amplifier, calibrated to obtain microstrain readings corresponding to a unit torsional deflection of 420 microstrain per inch of chart recorder deflection.

By previous calculation, it was determined that for 304 stainless steel with a torsional yield strength of 15000 psi, a maximum permissable torsional deflection of 615 microstrain could be obtained before exceeding the theoretical yield limit.

The 615 microstrain correspond to a chart recorder excursion of 1.5 inches, and in no test case was that value exceeded.

The 615 microstrain value is a constant for all shafting diameters, and was approached only with the smallest necked down shaft diameter (1/2").

Necking the shaft was required in this snall size valve, so as to accomodate the smaller t/d' ratios investicated in the test program within the physical limitations of the valve body and disc.

In all cases however, even with the greatest pressure drop (AP) across the valve, and therefore the highest velocities influencing torsional loading on the disc / shaft assembly, no excessive torque conditions were experienced.

This effect can therefore apply

" indirectly to larger valves with larger shaft diameters as it expresses itself as a change in magnitude of the final calculated C. value.

The microstrain relationship is expressed in terms of the applied torque, IE:

E=

T

where E

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l E

= microstrain (inches x 10-6) l

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V T = in-lbs.

l 6

E = Torsional modulus for stainless steel = 12x10 psi g

R = Shaft Radius in inches.

Solving for torque. yields:

T=.393 E D ; where the shaft I

diameter D is expressed in feet; and the value of E may i

be determined by reading the microstrain plot.

i Thirdly, a temperature probe was connected just downstream of the P1 pressure pickup to enable temperature readings i

in 'F to be recorded.

It was felt that recording temperature j

during valve cycling would be pertinent, if it became l

necessary to calculate mass flow across the valve for any given pressure drop.

Therefore the fourth channel (T) was j

recorded and is noted in the data listings (See Fig.

A

).

[

l Fourth, a position potentiometer, as an integral part of the f

motor actuator, was connected to the recorder amplifier, and i

a plot of 90* open to close, valve disc rotation was recorded.

l This plot enabled a relationship between position versus the j

other measured variables to be recorded, thereby tying together i

all variables as an expression of disc angle.

It then becomes a relatively simple task to read pressure drop, torsional l

()

loading and temperature change as a function of position angle.

Torque Calculations:

I t

The standard formula for applied dynamic torque for butterfly valves:

4 3

T = C, x D x AP EQ. 1.

i d

L where:

T = Dynamic value torque in ft-lbs.

CT = Torque coefficient determined from test data.

AP = Total pressure drop measured acorss valve (psi).

[

s D

= Valve bore diameter (ft.)

Valve torque coefficients (C ) were compute by solving the f

T above formula for C, and by utilizing test data for valves

[

T of T ft lbs.) and AP (psi).

Therefore, C values for the i

6" Skre(amseal valve may be expressed:

T l

C

=

T 8Td EQ. 2.

T

_d_

=

6 3AP Y

(17) l and plugging in appropriaIe pressure.culated from test data, I

Therefore, by utilizing C values cal and dimensional values in 6/1264 k

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_. _ i._

6 EQ. 1 an accurate value for the dynamic torque for a known O

L pressure drop may be obtained.

Pressure drops used in

,\\d calculating torque in a specific application may be obtained from the test data as long as inlet pressure corresponds with the inlet pressure of the valve in question.

To obtain total dynamic torque in a specific instance, bearing torque (T ) must also be considered.

Although i

s not a big factor It high values of inlet pressure (P I

)

T1' it begins to figure significantly for low values of i

inlet pressure, and may even become the dominating factor for low inlet pressure values.

Bearing torques are to be

(

considered in light of disc behavior under pressure conditions in a given application.

Depending on disc orientation in the line, bearing torque will be subtractive as a function of the disc tending to close (+C,)

or additive if the disc tends to open (-C ) under flow conditions.

T Bearing torque is calculated thus:

Tb = 4.71 x D x d x f x AP where:

T

= Bearing torque (ft-lbs.)

b D

= Valve dia (ft.)

d = Shaft dia. (in.)

w-f = Friction Coefficient (.12 for bronze)

AP = Pressure drop (psi) j Total torque applied to the shaft therefore is the algebraic sum of the dynamic torque plus the bearing torque.

This torque value is the quantity required to overcome forces operating on both the valve disc and the shaft.

The total torque. required to move the disc against a given inlet pressure is a function of a number of variables operating simultaneously:

Disc Angle, Pressure Drop, Disc Geometry (t/d ratio), Shaft Diameter, Shaft Disc orientation relative to upstream piping components, and degree of pressure recovery downstream of the valve.

Pressure recovery downstream of the valve was determined during testing, as' presenting a less severe. loading to the disc structure than the methods employed in'this program, and therefore was not included as it was considered that the methods employed presented a worst case situation to applications encountered in the field.

Calculating Torque Values for Field Applications:

Procedure for calculating torque values for larger valves Ref to Appendix 1 i

l.

Determine t/d ratio for valve: Disc Thickness (in.)

'~ ( )

Disc Diameter (in.)

L 6/9180

8 greatly influence the torsional loading on the shaft.

Con-sistently lower torque values were observed with the flat face 9

of the disc located on the upstream side (when closed) of the valve.

Higher torques were observed when the curved face of the disc was presented to the upstrecm flow.

As expected, peak torques were experienced by the valve in all cases when the valve achieved an angle of approximately 70*-75* open, with the shaft torque diminishing as the disc approached 0* open.

Another consideration that must be taken into account in determining peak shaft torques, is the relative position of the shaft to the plane of an upstream fitting or elbow.

An increase in applied shaft torque was observed when the valve was mounted at 90* to the plane of the elbow on the inlet side.

See Fig. 12.

As is characteristic.of butterfly valves, the disc will exhibit a tendency to close or to open under flow conditions, as mentioned above.

If the curved face of the valve disc is facing upstream the valve will tend to close, and conversely, if the flat face is upstream the valve will tend to open.

With the lower t/d ratios, torque reversal will occur in most instances, especially for higher values of pressure drop.

C values generated calc"'ation incorporating these torque T

figures will indicate the-uendency for the valve to close by being positive (+) when tending to close, and negative (-)

when tending to open.

'3 Conclusions 1

The test program has demonstrated that torque characteristics L/

exhibited by the streamseal butterfly valve are very dependent on a number of considerations.

Initially, a determination of the location of the valve relative to upstream conditions must be evaluated.

The existence of an elbow or other interference in flow direction, in the immediate upstream vicinity, will be a factor in determining the placement of the shafts relative to the plane of the elbow.

A reduction of shaft torque due to flow separation will be achieved by placing the valve shaft centerlines in the same plane as the

~

elbow radii.

Second, upstream facing disc geometry is important, as it too has a direct bearing on the intensity of the torque applied to the shaft.

Curved side facing upstream will apply a greater torque to close the valve than if the flat side of the disc were facing upstream.

Third, as was previously known the t/d ratio influences the magnitude of the applied shaft torque, whereas the thicker the disc cross section, the greater the aerodynamic effects and consequent increase in applied torque.

The t/d ratio also gives a clue as to the relative shaft diameter.

That becomes important when determining the bearing torque, as a greater shaft diameter necessitates a greater disc cross section.

f 's Shaft diameters must be considered not only for the ability

(

)

to withstand dynamic forces, but must also be sized with respect 6/8686

i 9

to static shear forces under full load shut-off conditions.

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Hence an ideal t/d ratio is one that optimizes the minimum aerodynamic effects of the dice cross section to adequate x./

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shaft diameters supporting both static and dynamic loads.

In consideration of the above, it is indicated that the worst case, with the highest applied shaft torque under any given pressure drop would be when the valve is close mounted to an elbow, at right angles to the plane of the radius and installed with the curved side upstream.

Decreasing levels of shaft torque are indicated as each of the above parameters (Refer to Fig. 12) are changed or modified until the lowest level of shaft torque is attained when the shafts are in plane to the elbow, and the flat side of the disc is facing upstream (Refer to Fig 9).

Therefore a pertinent recommendation would be to mount the butterfly valves in question as described in the latter case above whenever possible.

A further conclusion can be made, that for a specific application accurate calculation of torques under existing conditions and recalculation of expected torques when the conditions are modified can be effected by employing the data given by curve plot, tabulation and formulas given in this report.

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Appendix I 0"

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l Upstream Inlet Valve Valve 4

Test #

t/d Face Pressure Inst.

Position Fig. No.

PSIA (Range) 21

.29 Flat 75-25 Pin / Pout In Plane 9

22

.29 Curved 75-25 Pin / Pout In Plane 11 23

.29 Curved 75-25 Pin / Pout 90 to RT.

12 24

.29 Flat 75-25 Pin / Pout 90* to RT.

10 25

.12 Flat 75-25 Pin / Pout In Plane 9

26

.12 Curved 75-25 Pin / Pout In Plane 11 27

.12 Curved 75-25 Pin / Pout 90* to RT.

12 28

.12 Flat 75.4-25 Pin / Pout 90* to RT.

10 29

.17 Flat 75-28 Pin / Pout In Plane 9

30

.17 Curved 75-28 Pin / Pout In Plane 11 31

.17 Curved 76.4-28 Pin / Pout 90* to RT.

12 32

.17 Flat 75.4-28 Pin / Pout 90* to RT.

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/

6 i

I l

'/

l f

/

t g

f, i

/

i I

y C

~ D' 2

JC 40 60 GO 70 h

DESC.=r !5 (* C.=S!?)60 G

/

I

Test 22 40 PSI I

  • Open P1 P2 AP T

Temp *F D

T t

90 25 12 13 38.5 23.7 19.9 80 29 9.5 19.5 55 22.6 21.9 l

70 30 8

22 55 20 23.9 l

l 60 33 7

26 49.5 15.2 25.3 I

50 35 5

30 44 11.7 27.3 f

l 40 37.5 3

34.5 33 7.7 28.6 l

t 30 38 2

36 22 4.9 29.3 l

20 38 1

37 3.9

.8 30.0 l

10 39 0

39

-11.0

-2.3 30.0 i

0 40 0

40

-5.5

-1.1 30.0 i

I Test 22 50 PSI f

t 90 34 16 18 49.5 22 32.0 i

l 80 35 15 20 66.0 26.4 33.3

[

f 70 38.5 13 25.5 66.0 20.7 35.4 60 38.5 13 25.5 54.6 17.1 37.4 I

50 44 8

36 49.5 11 38.7 40 45 5

40 41.3 8.3 39.4 I

30 47 3

44 33.0 6

39.4

[

i 20 47.5 2

45.5 8.3 1.5 40.1 l

10 48 1

47

-5.5

.9 40.1 l

I 0-49 1

48

-8.3

-1.4 40.1 i

r i

l O

l 6/372322

~

~

9 rs rc 7

- 3

{\\ b 6

es es om A/r E/ow Tests._ NMa]Longley fesearcJr Center Nov.f.Cer./9z9..

,,,,a 7 a, y O

1 mum

,im t

.A///.s - Chelmers 4 "_.3ttenmaea/ BuWerf/yJs/w j'fca' l._.

. cr e

o.

u.

uvw. u..

cucato a wyg l

ENGINEERING CALCULATION SHEET Zbst No.

i uu mu.m

,o-,isi

_Yo/ve dise_thicMness.to.d/ontattre_re*fo.L

  • 29

__Iniflo/_epartesne. pressure GCPSIG :

Va/re_or/esfaffon.cg_f/ gum ll

__Torfee._eruefton..onaCco fric4nf.*' D = CrDMP wAere 2d~ /.s t)c. dynamic forrow in.fxt pouno's.yCr As the_ forger __

Coeff/ciret.,. Dis the_vo/scd/aorerirr..in.feef,.cnof AP.12.ik fatstipqrssure o' rop acros.r the-.rs/re_ar_psr.'

A P = A t M*) -- A +f[

2S J 23 I

E S 6 $

4 I

{ t 1 I

il 6

l o

0 r

p 3e NEO l

O l

.n s

t Y

N e

4

/I

-\\

i

/ t

\\

i y ;

g

/

I i

t

/*

1

\\

k

/

I

\\

l t

/

e i

/

t i /

4

'/

t s

A l

jg t

/

4 8

t

,e i

/

i i

/

3 4

~~~

t V

l t

i t

~~

,e i

C

~]C ^

tb 3C d.0 20 G0 70 2D-V-

DESC 5t~. !G

  • e"ren)80

~

l l

Test 22 60 PSI l

t I

o

  • Open P

P AP T

C Tap 'F y

2 D

T 90 40.5 17 23.5 57.8 19.7 37.4 80 40 16 24 66.0 22 38.7 70 43.5 15.5 28 66.0 18.9 41.4 60 45 32.5 32.5 66.0 16.2 43.4 i

50 52.5 10 42.5 57.8 1 0. 9 45.5 40 56 7

49 47.2 7.7 46.1 30 57.5 3.5 54 33.0 4.9 46.8 20 59 3

56 7.9 1.1 46.8

'0 59.5 2

57.5

-6.3

.9 46.8 0

59.5 2

57.5

-9.8

-1.4 46.8 O

i i

I i

I I

I i

I 4

e 6/7840 l

i

,n

,,, m.. y 9

Q ht*, [lO60./

Y3 k$k

$Mf dy 43 64

_DM_W7 N W,/ &,. 8 7f.

f op ]

/

gnegy J

iuo.a mu.

.A//h Chalmer:.1 4 " dtteamseoLBun'erfite Vahe Afoa'eL -

oe..no u.

uvwo = v..

cucuurso n ggg i

ENGINEERING CALCtlLATION SHEET re.st.No. g3 uu u.m

,o ci.

Va/ve a'he.fhicMnes.s.fo.//omate7 rot /o :-

  • 29 In/flo/_rp.stecom. pressure AOf5/G L/a/re pr/en/ofion ryr // urer.

lI-f Torpee egeofton ond-.coeffickaf : 72 = Cr en'n49 Where2d-./s.tJe dynamic &ryor in.Aat pouno'.s 47-.4fae.forpre Cocff/cenf., Dis the.vo/re'.dlemeke in.feef ano' 4P f.s./be fafslpcssurc. a'eop. acras.r 2de xs4e_ar..p.sr.'.

Ap = A + w * ) -- (A +g

'O

'S J

\\

23 l

.. 3 _... T ~ ~

.i i

f e

.6 i

N J

  • (

l i

f a

e

/

i t

/

e l'

/ +

Q

  • l l-kjo

/

<P t

/t

/-

l e

/* i e

6 f.b

/

l

/

6 6

s

/ 5

(*

4

/C i

8

('

t

-d-l T'

C O

~~~10 C

EC 4C t*C GO 70 2C- ~~

DISC.=rg!5(*q=Gr:)&Q

l D lP "

O

  • D'TT

~

l n

a D

\\

= _ - -

a.-..-.-.

[

f' 27/r.E/ow Rats-NA59/Long/cy fs.searcjr Conbrr - Rov. f.Cw. M79. s,.m 2 ao 7 w

,_m A///.4 ~ l'holmer.t 4 "_3traramscolBedferf/y Mr/re Atoa'e/.-.

CaawiMO Museas b3The IM U.S.A.. A.C WGLargo at ENGINEERING CALCULATION SHEET Zkst./VO. 23

.uimmm

.e...m. i Valve dhe 2%iegness b.diomen.e rsdo

  • 29

- Zaillo/ upatteem presson.:./6 P3tG ygfy_e_ orig,goppg_psyym, l1-Torre.eyeation anLeoeffident ' D = CrzD'. =. 4P wAere.Td /.s fJe. dynamic bryn /n Aet pound.s.,- Ch At tac forgue-coefflairnf, Di.s the ro/re.& low.fer ise.feef. ond 02 is.fhe-s fafe/ prs.ssure deop acro cr the-.xs/re ar-ps*r.

k I

\\

Mg)\\

A9=

+ Vi )--

19 l

29 /

.,,T i

i 5

  • e I

1 g

1-4

-l+

t

  • f e

.t.

. O b

i I,

~

t 1

f 1

k) e 4

s 1

4 1

f I < !-

t a

n K

1 jo.

/ 4 2

/-l

/

/'

i Ngo l

9

.n

,l

  • [

t I

i t

8 t

,/

e i

W t

/l t

8 g

i, U

l l

.i i

i t

/C 7

i e,

i

/!

1

/

t t

8

./

i 3

I m,/

I.

/

C Diec.=r e. le (= :=en)60 4C T

GO

"*O 90-2- --

i C

2C 23 JC

l i

Test 23 P.

= 10 PSI O

^1

  • Open P

P AP T

C Temp *F D

90 4

3 1

8.3 66.4 5.1 80~

5 3

2 16.5 66.0 5.1 70 5.5 2

3.5 18.1 41.4 8.4 60 6

1.5 4.5 18.1 32.2 10.5 50 7

1.5 5.5 17.3 25.2 11.1 40 8

1 7

16.5 18.9 11.8 30 9

1 8

11.0 11.0 11.8 20 9

.5 8.5 5.5 5.2 11.8 10 10

.5 9.5 0

0 11.8 0

10

.5 9.5 0

0 11.8 O

Test 23 P

= 15 PSI T

1 90 6

3 3

13.8 36.8 5.1 80 7

1 3

27.5 73.3 5.1 70 9

3 6

27.5 36.7 8.4 60 10 3

7 27.5 31.4 10.5

)

50 11 2.5 8.5 24.8 23.3 11.8 40 12 2

10 22.0 17.6 11.8 30 13 1.5 11.5 14.9 10.4 11.8 20 14 1

13 5.5 3.4 11.8

\\

10 14 1

13 0

0 11.8 0

14 1

13

.0 0

11.8 O

6/9940

8/r. flow. Zests _NMM/4sngley..fesearcJr Centf?_ b'av / & L97.9.-

,,.m 3 ao 7

^

sou.cr mu.

,=

A///s. CJte/mer.s 4 "streamsen/ BuMerf4r..Valote Moa'el-.

f uvi.. c. u 4..

caicula no n ggg I

ENGINEERING CALCULATION $HEET Z3".s? Ab. 20 ALLIS.08ALAna.$

80ess pts.I Value disc thickness.lo //smstee rsda L 20

- Eriflo/ upstream peessure.L2CPSIG Mr/r_s_origsfofjon.pyr g/ yre l2 f

n

- Joeyee. eruaflon_o=d_confdic.4rnf : 72 = Cr<n'-AP W.here_]d~ /.s f}e /ynamie_brfex /n.fcat.=.pouno!.s. pCr 4 the.tarfwe

.comfileknt.,..D.h the.roke:.d/amekr in feef ono' 42 /.s ihe--

fat'ol-pa.ssuce_deop acro.s.rAe v.r/re args~r.-

sP = [A + Vi*)_. g)\\ \\ -29 / zy .............i... i O e t 3 i I l j x I \\' [ \\ t i \\- 0 \\ r \\ ( / * \\ / 1 : kro i - N f /* s /I ,/- 6 / e / 2.b I f i i /i / t ~* U / t y i i 0 h /C i i 4 { f j j / 4 i =- I / i j ,/ I e 16 a JC f.C EC GO 70 i?C - --- DiEC 5/y!G (* Cf=Gt7)60

emo u nari dir E/ow.73'sts-- NRSA/Lonaley fascorcJr. Cen&r-- A'av../.Dec.1971 ,,.an 4 a, 7 s,,/ su m cr mu ,mu A//h- &~/ralmer.1 4 " atteamsen/JyNetf/y Mehe..Afco'e/-. catc w uo a g yf_f g u..u uv u ll ENGINEERING CALCULATION SHEET R32./VO. O A&U$OAusges pCh. 4F19 8 i Valve dhe thickness.Eo.o'iomehr-roMo

  • 8

. Ini/lo/ upatreom.preswm.:..MPS/G ys' /ve_orfesfag/w.syg_ g,yum. /2. - Tortw epatton o= a'_conet/cknf :_.7d = Cr tD' = AP ~ .where Td /.s the dynamte brper in.f.mf ~.pou,to'.s.wCr. 4 the.. torfre-- Coeff/chnf.,. A/.s the ro/Ve.d/ameter in feet and AP /.s..fk folcl.peessure o' rop-.acra.s.r the vs/re arp.rn Ap = (A + y,

  • g_g,*)\\

\\ zS 29

,, r.- r-r 26 l

l = th t t U Jc O q /,. Og I f N i / - T-gv g i / w . / \\' U . / b ,i T l ,/,t t [ ,/ 6 g i / e f U 1 1 / r or jg e j 6 b '~ - ~ f 4 / e {# / \\ ~ v ? 0 C f'C GO 70 9D -- - - l G W db JC Disc Rngle (e yen)60

1 Test 23 P = 20 PSI 1 -s

  • Open P

P T**P y 2 D T 90 10 4 6 22.0 29.3 5.1 80 12.5 6 6.5 33.0 40.6 7.8 70 14 3.5 10.5 34.6 26.4 9.8 60 15 3 12 33.0 22.0 11.8 50 17.5 2 15.5 33.0 17.0 13.2 40 18.5 1 17.5 27.5 12.6 13.8 30 19 .5 18.5 16.5 7.1 15.2 20 20 0 20 5.5 2.2 15.2 10 20 0 20 -2.8 -1.1 15.2 0 20 0 20 -2.8 -1.1 15.2 Test 23 P = 30 PSI 1 90 19 7.5 11.5 33.0 23.0 11.8 80 20 8 12 49.5 33.0 11.8 70 22 6.5 15.5 49.5 25.5 15.2 60 25.5 5 20.5 49.5 19.3 17.2 50 26 3.5 22.5 41.3 14.7 17.9 40 27.5 2.5 25.0 33.0 10.6 18.5 30 28 1.5 26.5 22.0 6.6 18.5 20 29 1 28 5.5 1.6 18.5 t 10 29 1 28 -5.5 -1.6 19.2 -0 29 1 28 -5.5 -1.6 19.9 6/700160 l l. l L__---________---,

l I 1 l cusou can l A/r. flow.13'sts AW3At/J.cng/cyldsearcir_Conta?_.Nov. f.Dec. Lf7.9.. snus 0 o, "I l a c, cau .. a .A//h - l"Jrc/mers 4 ~ a. treamstolEVflerfly. Vs/re-.hfca'el.-. u.=, wv. c4awna n.gyg l ENGINEERING CALCULATION SHEET 23.sr. /Vo. 2 iu,m.w n ,o=,u.i - Yn/ve dhe thicMnoss./o.d/omater rst/o.:. 29 . Zaiflo/ Wpatream paswm 40P3/G' Va/re_ortes/ofion.ag E/9am l2-Tortw erueNon and._coafric.Arnf.* 7d=Cr<n'xeP ~ .where.7d /.s t)e oy' nama hnpee in.f.mt. poeno'.s >- Cr. 4 the fartee .Coefflairnf.,..D.h the ro/re d/omekr /n.fect ond 4P.J.s.2/re tot's/_ pre.ssure_ drop aces.s.r /de_rs4e h.psr. A p = (P J vi ) _Jg \\ -29 / zy i e t Q 40 0 1 ./ .aO / ,/ U ,.s. 8 9/- 4 I ./, y t, ,,/ l >r. + { G /c i V / Q q ~W 26 3C .:0 ":C 00 70 20 DISC 5!";!G (* q=GM)SO =

CJ370anst O.TI O 8/r.E/ow.7&st.s-NM34/Long/cy fosearcJr. Center Nov.f. Cec.Le n.. s,,u, G o, ~7 U .d///.s-L'~he/mers 4 ~strxamscol BuHeef/y.Pshe_Model. mawto"gyg u. ur =u .a ENGINEERING CALCULATION SHEET & st.A'O. 0-uus.o.u. a

==om YolVf_W/WhlC$nes3 O.YlAn96YeLYef/O *--

  • _.Zaitto/_vpstreene pmssum.:.5 CPS /G

__fg/ye_origpfsfjen.geLg/ gym. l2.' _Torpee arvat/on ond'coe:SrJc.4rnt ' 7d

  • Cr E.01.".49

~ W/rek 2d"- /s f}e /ynams~c sbryer in.fcot. pouno's.pCy_4.nfe forfet I Coeff/ Ment.,. Dis the_ys/re:.o'/carchr in. feet ond. 4P /s.f/** fafe!.-passure deop acens.r 2Ae xx/re hnp.fr. AP_1f+29J A 2f_L*J M*) -- ) zy .i e - e ia .4 I l 4 r i i i i D e g b i I i i ~ - ' I U 46 p S eUo f O ll m

  1. 1 f

i f. f-A ,C. e ( N

  • * ~

/ t Y /C + w ,.-_r O' f + y p '.t 2 3C t.c EC 00 70 60 20-die: =r~;!5 (* f=977)

Os Test 23 P = 40 PSI T l 1

  • Open P

P AP T C Temp 'F 1 2 D T 90 25 12.5 12.5 49.5 31.7 18.5 80 28 11 17 57.8 27.2 20.6 70 30 9.5 20.5 60.5 23.6 22.6 60 34 8.5 25.5 55.0 17.3 23.9 50 37 5.5 31.5 49.5 12.6 25.3 [ 40 38 4 34 38.5 9.1 25.9 30 40 3 37 27.5 5.9 26.6 l f 20 40 2 38 6.7 1.4 27.3 f i 10 40 1 39 -6.7 -1.4 27.3 i O 40 1 39 -9.8 -2.0 28.0 L [ Test 23 P = 50 PSI T i 90 34 15.5 18.5 57.8 25.0 29.3 i 80 35.5 14.5 21 66.0 25.1 32.0 70 39 13.5 25.5 66.0 20.7 33.3 60 44 10.5 33.5 59.0 14.1 35.4 50 45 8 37 55.0 11.9 36.0 40 46 5 41 41.3 8.1 36.7 30 48 3.5 '44.5 33.0 5.9 37.4 20 48.5 2 46.5 7.1 1.2 38.1 j 10 49 2 47 -5.5 .9 38.7 O 49 2 47 -8.3 -1.4 38.7 I i i r t 6/6867

I I custones can ff/r. flour.73'3f3JASAherrg/dy. ?taedic}! Cen?! A'09./ [AC.1979.- s><su 7 or 7 \\ Sy4JSC7 Ftt u a. PIMA & .Al/sk. c~helnree.1 4 ":Streamscal Bofferfly..Mr/>e Moa'e/.. cumno n gyg o.a. 4.s uv. in u... ENGINEERING CALCUL.AilCN SHE27 R. t No. ga s A&us Ctatmaes 800m 4715 9 Ya/ve disc 2*hieXness.lo.a'ometer.rsdo.:. O / _Ia/floLep.shese preswre.:.GOPS/G Ya/ge_orienfafjowfng/yyre. l2. Torpee aywatton..ona_' coefric.4rnf ' 73'= Cr

  • D 'E 49 w/rereld /.s.fje /ynomiu bryow.br.fcat.~ pounds Jr 4 the forfre-.

Coefflaient.,..Di.s the ro/reld'/omehr hr. feet ono' AR./2 fhe. a'ofsLpressunc o'eop acto.re 2Ae xx/re arap.rr. i styt*}\\ A P = E L.+ Vi '29 .zS W.ti ..ii iiii.,e ii. .i i 1 I s 4 I i ~ dQ a ~ g e t m 1 p g 3 i 4 AA. t f t 7 l a p fj g .i.....- / \\ l' ~ l 1 .r/ ~ ~ ~ ~ v t . // i .6/ i IC v' ': y j /* t t ( ,o +, + l t xy 5 e .~ fff i 4 I O d 2') - JC C $") GO 70 GC-- E-- 5!y!E(*QPGr?)60 dis:

i 1 i Test 23 P = 60 PSI T ) 1 i

  • Open P

P AP T C Temp 'F 1 2 D T i 90 40 16 24 49.5 16.5 32.0 j 80 40 15 25 66.0 21.1 34.0 f 70 41 12 29 71.5 19.7 36.7 l 60 48 11 37 66.0 14.3 38.7 1 l 50 50 8 42 60.5 11.5 40.7 40 54 6 48 41.3 6.9 42.1 j 30 55 3 52 33.0 5.1 43.4 i 20 55 2 53 5.5 .8 44.1 10 56 1 55 -5.5 .8 44.1 l 0 56 1 55 -8.3 -1.2 44.1 ] a e i l k, I J l i ki i i I 4 4 i e 6 6/7400 -~

ji_."'h/ow?7e' _ N $ h g lah. A os earc h. Ce" k r

v. A. h M--
  • m ! c' Y m

mu ,, = A///s-chaliner.1 4."StreonoaeaLBirt/erf/g Vshe Afoa' L-. e

==^ua " wyg i.m..,-u ENGINEERING CALCULATION SHEET z m, E4 uu se..u.m 'e== m S' Mr/ve dise thickness.la.d/ontehr. rstto.* E9 Zaifto/.rpstreem.peessum_LfCPSIG vafya_p,tessa,ojos.,yg_gifum /0 o .- Toryn equeHon..ond comfft:4nLL._ d

  • Crln'v4P 7~

where Zd~..tsfje.dynamn:-.foryw /n.f:et pounds.,- Cx.j:s the. terree-._.. coacria;rnt, DJs.the rs/re a%=awr in. feet one/. M-.ts fhe. far's! pressure drop aero.er /Ja xs/ rear p.sr. sp = f, + 29 / v)

  • 1 - -

J V* zg g- ,,,,,,,,,,,,.,,,v,,,, e i i ,a ~ l 10 V o ,e x f s .xi f g k %J \\ i \\ f \\ 1 0 .g -IC 5 ( ) .e { f $-t l 1 hi i _i i =_..-. ~ s i. i l I 4 1 y i e =- u.p.=u .O h I g g g 4 4 s \\ ~'- ~~ \\ L / ) s./ e c ib ao Q, 40 sa ca 7e ec g :_ _ l ul3C SMC!G (* Cpfn) ~ ~ ~

CUSTCmEt Oaft hlf.$loiU./ WAY3 A$k QMf dy e3 ed!C)?_&n(ef NQR /.No /97f... go,ggg f gy 7 / suo.a ,uu A. .A///s Cho/mers 4".3rreamsenLawYetf/y.Vshe.Afoo'el.- matario a ggg se*-i o a um u -e l ENGINEERING CALCULATION SHEET 23'37 /VO. ALLit.OIALufts PCam dis.8 _ Valve dise thieXnessfo o'fontskr rstle ! *N _Zaif/o/_epatreone. pressure l5 PS/G @/ye_prten/ofios.gt;_ figure l0 Torfee arvation.ona' coeffichnt ! D = C r. i D L.x. 4 9 tu/rcre_Ex' /.s f}e.dynamie bryce in.fmt ~pouno'.s.,Cr h FAe. 7'orfre-coeffIaienf., Ah..the.rs/er:d/aare/er in fc.ef-.cno'_f.P_/.s.fke. Iofa/presssere..deop acen.sr 2de xs/re_ar-p.Tn A P =.A + V

  • 1 - -

.d V.* \\ MJ 5) ~ ,,,,,,,,i,,i,,,,r,,,,,,,,,,,,,,,,,,.,,,,,..r,.,. g [.0 = g p m = l A x N \\ Ng. =lC k*

  1. 8

.b. 8 e q <-= e F ~ i \\ O-m \\ \\ \\ v \\ ~. - - - - y y._ _ _. _ -e d" e6 sc 63, ao s -y s, .CISc Ang!e (* cpen) ec ~~}_ } '~'

i Test 24 P = 10 PSI O T 1

  • Open P

P AP T C Temp *F y 2 D T 90 4 2.5 1.5 -6.6 -35.2 6.4 i f 80 5 2.5 2.5 -11.6 -37.0 6.4 70 5 2.0 3.0 -6.6 17.6 8.4 60 6 2.0 4.0 0 0 10.5 i i 50 7.5 1.5 6.0 0 0 11.8 [ L 40 8 1.0 7.0 -3.3 -3.8 11.8 l 4 30 9 1.0 8.0 -1.7 -1.7 13.2 1 20 10 0.5 9.5 0 0 13.2 i 10 10 0.5 9.5 -3.3 -2.8 13.2 0 10 0.5 9.5 -6.6 -5.6 13.2 i i i Test 24 P = 15 PSI 90 6 2.5 3.5 -16.5 -37.7 5.8 i 80 6 2.5 3.5 -13.3 -3.04 7.1 70 9 2.5 3.5 -5.0 -6.2 9.1 l 60 10 2.0 8.0 -3.3 -3.3 11.8 i 50 11 1.0 10.0 -3.3 -2.6 12.5 t 40 12 1.0 11.0 -3.3 -2.4 13.2 I 30 12.5 0 12.5 -3.3 -2.1 13.2 i 20 12.5 0 12.5 -3.3 -2.1 13.2 i [ 10 12.5 0 12.5 -3.3 -2.1 13.2 i -O 12.5 0 12.5 -3.3 -2.1 13.2 O 6/4773 [

&saw rests _mx.hsngiay.A'esaae.>r cenne sov.t.r.ie7e .., 3 a, 7 mu ,, u .atis.chatmars s".,erres-saatsuwarne..vs><.21odet-.- c.uawno u ggg

u...

. u ur, ,. v m. L" ENGINEERING CALCULATION SHEET Lib's? /VO. Sb mum.u.m mi., v ka.si,c.tstaxna.u.t. stamane rstro.29 a vka criesfofionnti Brum-l0 _Za/BoLepatream possore. 2 OPS /G a 7eepee. ervaNon ond coafficenf .D = CrrDir.dP where n is t>a synamia krya inAs p.ans.s. cris the terrae cosfflaient., Dis the..voke:.diamekr in feel and 41P i.s.fhe faf4!pr.e2.wre deop acro 1r /de Ms.4eu*n-ps~r.. l sp - (p, + y,

  • 1 --

+ W\\ -29 ) "29} \\ g- ,,,,,,,,,,,,,;,,j,vr,,m,,,,,,,n,,c,,.,.. g i i i l R b ' o o j, c _ _ _ g A v D.x ~ ~ s ~ N_ -ic ~ .s T \\- ) q\\ g.e \\. \\ t. s. \\- \\ p.g \\ x T s y -<c o 10 so so 40 d -b ec s, . Circ Rngle (o cpen) _ _ __. [ ~~ ~~ l t

1 1 = i ~ ct fomaa Oars Q A/r E/ow.ksts_,_AW M/.Longky.fosconJr Conter .Nov. <*.k.197.9... ,,,w 4 a, 7 V 4 su.ncr mum. .. u .6//su Cho/mers._4 "_3rreamscol Bufferf/g %/w. ??co'el-.. o... o m i,. u i.. e cucumo a gye i ENGINEERING CALCULATION SHEET ze.st No. 2e ALLIS.CMALmat$ PCtm 4713 8 ._bke siae.tx<xna.u.& a'a-are.. reno .29 ^ t Inifls/ upa/ ream.passum_ BPS /G 1/a/re ories/sfion.cLEigum. l0 Tamaa aru-tian..s-ac.cuesc.enf :_ r< = crzoi.sP when 22 /.s.f)e dynamic hrpw.in feet pouno'.s.,_.Cr As.the._forper C06(St.Arni.yAl3 Ykt Vd/W9 WldMehr/M1&ef dn d 4[l3$Ar. Mdpessua_s,.p acrw the xcheim.rr.. sp -(h,. w * ) -- (A,, y1*_).\\ 1 \\ 29 / \\ ~ zy go i,,1,,,,,,,,,,,,,,,,; ,yr,,;,,,,,;,;.,,;,,.,, g o l" O u .-.D t Q C ()is ~. f i g I N f .gc v x i N.

  • e J

g. \\ m i N. N \\ q_e .m s T. 4 \\s L g m,.. _ l

o_x, P

l ! n sx..) 1 1 -<.cc Q 'U M b.5 SC C 70 80 Dec.Cngle (C* cpen) ____} m ~ ~ .. ~ ~ ~ l i i

Test 24 P = 20 PSI s T1 1 4

  • Open P

P AP T C Temp *F 1 2 D T 1 90 10.0 5.0 5.0 -21.5 -34.3 6.4 80 10.0 4.0 6.0 -23.1 -30.8 6.4 70 12.5 3.5 9.0 -16.5 -14.7 9.8 1 60 15.0 3.0 12.0 -13.2 -8.8 11.8 50 15.5 2.5 13.0 -11.6 -7.1 13.2 40 17.5 20.0 15.5 -11.6 -6.0 14.5 30 17.5 1.5 16.0 -8.3 -4.1 15.2 i i 20 18.5 1.0 17.5 -5.0 -2.3 15.2 j 10 19.5 1.0 18.5 -8.3 -3.6 15.8 0 19.5 0.5 19.0 -11.6 -4.9 15.8 l 4 Test 24 P = 30 PSI T 1 s 90 17.5 7.5 10.0 -33.0 -26.5 12.5 80 20.0 5.5 14.5 -33.0 -18.2 15.2 70 21.0 4.5 16.5 -29.7 -14.4 17.2 60 25.0 3.5 21.5 -24.6 -9.2 18.5 I 50 27.5 2.5 25.0 -24.6 -7.9 19.9 40 30.0 2.0 28.0 -19.8 -5.7 20.6 I 30 30.0 1.0 29.0 -16.5 -4.6 21.9 20 30.0 1.0 29.0 -16.5 -4.6 21.9 j i 10 30.0 1.0 29.0 -24.8 -6.8 21.9 t 30.0 1.0 29.0 -19.8 -5.5 21.9 1 O 6/3893

cwo-a oars $Mf dy YA00AfCh & Mff.r_ NOV../. & e[Y7.9_ snggt / op f klr $/060.f$A?$ kW %[J t ,uu.. \\ .A//h-c~/ralmer.1 4 3treamseaLBuMenf/y Mr/nt. d'ico'el.. c4=was a;yj.fg o u r = u. . e ENGINEERING CALCULATION SHEET g gzj ALLi$.C.Ataf R$ POtu @3 3 . Valve dhe.fMcMhess fo o'ometer rst.!o.*- N - / _In/fla/ ppatream pressum ACPSIG Mrfye_orien/ofjon.zer_Elgum /O Toryngeofton..ond coaff./cArnf ' 7d"

  • Cr""D'".4P

.sehere_Zd* /s f)e.dynamie_bryve in hof ~pw"d's > [x-.4. iAW Yoff"* ' coeff/cknf.nDis..the rs/re,diameAre_hr.feef csref 4R.4.Ere. fafe/ pressure deop actos.r fde xs/re ar.pa~r. + g*\\ -_m* Ap= + ^. .29)_ 29 ~ g ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,y.,. g i i t t . i 4 10 h ' o o 4 f ( . a.,v+.x mh % e' ESh c x, -IC 'N ~ \\' -X-go \\ { N x \\ T 4.a-I \\l i 8 \\1 A' \\ A 1 N. R -= ~ .w] <!c ic = e.so e a s ec e ~ .Cac Rr:g/e (o* cpen) ~ ~ ~ ~

ht1Catt 0.r3 A/r E/oso 7e* sts _AW R/Longley.fasearcJr._ Center Nov f.&. sz9. ,,,,a G a, 7 / suasect resum. sim .6//i< - cho/mers.4 "3treamseat. Binferf/y. Vale Proa' l. e cac=to " wgg w r = v 4.. e l ENGINEERING CALCtJLATION SHEET g/,,, uus.o..u.a. no ms i Va/ve disc thicMness.io.o'/omefee. rod 0 L *N __Zaifto/_rp atrcom.peeswre.:__SC PS/G Vg/ye_orienfolion.&C E/fuM l0 __Torper eguat/on..an o'_cosffickat_ _.72 = CryD' = 4P .Jejerc_2" /sf)e dynamic 1'oryve in.fcot pouno's.,._C2..tk.the forfse_ d coeff/carnt., Dis _the ro/re:.dioneeNr in. feet anof AP.is f!'e.- fafa/pr.c.ssuec drop acros.t the rs/re.irr-psn Ap = [E + Vi* 1 - I'4.2_k%*)\\ \\ is /- \\ 29 g- ,,,,,,,,,,,,,,,,vc,,,-,,,-,,- ,,,;,,,,;,,,r,, 2c t O SQ -~ 4 I /C v) O i 6 C kO I [ 'I v m. _ s. '\\ N N N I .A . {P I \\ x \\ s \\ $s \\ \\ ~ b..h \\ ~~ N hMh \\*/ =c!Q . - - - ~ c" ib 20 ~ ~ ~ ~ so. ao so do 7b ec 4, ~ Of3C S?'C!9 (* cpen) ~~

Test 24 P = 40 PSI T Ox y 1~

  • Open P

P AP T C Temp 'F l 2 D T 90 25 12.5 12.5 -41.3 -26.4 21.2 80 25 11.0 14.0 -41.3 -23.6 21.9 i 70 30 10.0 20.0 -33.0 -13.2 23.9 60 32 7.5 24.5 -33.0 -10.8 26.6 50 35.0 5.0 30.0 -33.0 -8.8 28.6 40 36.0 3.0 33.0 -33.0 '-8.0 30.0 30 37.0 3.0 34.0 -24.8 -5.8 30.7 20 38.0 3.0 35.0 -16.56 -3.8 31.3 10 39.0 3.0 36.0 -24.8 -5.5 32.0 0 39.0 3.0 36.0 -24.8 -5.5 32.0 Test 24 P = 50 PSI 1 90 30.0 17.5 12.5 -49.5 -31.7 33.3 80 34.0 15.0 19.0 -47.9 -20.2 34.7 70 35.0 12.5 22.5 -42.9 -15.3 36.0 60 40.0 12.5 27.5 -39.6 -11.5 37.4 50 43.5 16.0 27.5 -42.9 -12.5 40.1 40 45.0 17.5 27.5 -42.9 -12.5 41.4 30 47.0 19.0 28.0 -33.0 -9.3 42.1 20 47.5 20.0 27.5 -28.0 -8.2 42.1 10 48.5 21.5 27.0 -29.7 -8.8 42.1 0 48.5 21.5 27.0 -33.0 -9.8 42.1 b 6/2201

enro. aar / f A M f d y Y e s e O f C lf-D M Y! ?-- NoVe.l.Ne.l$lA $nt E1 09 h lr $ loid../ W<$ Nk$k C suo.cr ,mm. Ahn C}ralmers 4 ",3treamsen/ Bedferf/y Valou"..Afoo'e/- mowsoav g/ g ..... o u. e ur. m u.. e ENGINEERING CALCul.ATION SHEET gg ALLIS.OeALase ts ME'8 dl3 8 Valve.d/dicMness./a.a'ismeter-rstto L = N _Zaillo/ upstream.paswre :.CDPS/G_ Ya/ye_. pries /ofjen.gtEtyyne l0 \\ - Iorpw egeof/on dnof_coeMicArnf 7d

  • Cr3D' % 49 I

~ W./ tere. Ef /2 the oy' namic. forft/d in.f:et_~pouno's., Cy-.As the-.torfee_ cosfflaient.,. 4?is the. va/re'.o'/.wreArr Jn.feef-and'. AP. /.s. f_he fotsl.presune o's.op acts.t.s: 2de. xs4e Ar-p.Tn AP= z_t V# ) -- + &) 23 / 2f i. i,..i,,-,',,,,,,,,,,,,,,,,,,,,,,,,,,,,- iei e g g 9 v j ic n o C i k 'A .g N -/C N' N N N, i g. N

  • N I

,q_e q ~ H_ O.3 ..Q q 0 v/ i i -Q, c eo me m,'ao, e. co

3 s,

n.- p -=

  • lw

.YN c,WA w

t Test 24 P = 60 PSI T1

  • Open P

P AP T C Temp 'F 1 2 D T t f 90 40.0 17.5 22.5 -46.2 -16.4 37.4 80 40.0 16.0 24.0 -47.9 -16.0 37.4 l 70 40.0 15.0 25.0 -47.9 -15.3 38.7 I 60 42.0 12.5 29.5 -46.2 -12.5 41.4 l SO 47.5 10.0 37.5 -47.9 -10.2 45.5 I i i 40 54.0 6.0 48.0 -49.5 -8.3 46.8 30 55.0 5.0 50.0 -41.3 -6.6 47.5 r 20 56.0 3.0 53.0 -33.0 -5.0 48.2 [ i 10 57.5 1.5 56.0 -28.1 -4.0 48.8 t l 0 57.5 1.5 56.0 -41.3 -5.9 48.8 c f F i L I t i ? I l t i l ? l 1 l t l' [ l L I 6/700155 l l 1 i

CUSTOmeg CATE .h/f_ f/oW. hst$. NA$A L emf dy kd3en d & nter__ Nov. / k. ]979.- / j op 7 g,,q g, $U4 JECT Ptella. PeMA6 ) A//M _ &~hs/mer.s 4 ~ 3rreamseo/ Butterfly Vale Afoo'e/ ) on* wino ww-ne u r=o in u... ...e w cutareo u l p g, m ENGINEERING CALCULATION SHEET 72=37 JVO. 25 .v ALLIS.OeAlmtIS Poem 471S.t - 6/ve ahe_thicMness.fo.o'iometer ratio _:.. /2 _.Zaino/_ epatresar pressure.:. 10!. _ h/re.orien/ofion ren. Fiqure 9 -. Tortw e9uofion on o'.cosfficarnf_:. 7~t

  • Cr ".D! x.aP

. sokere 7~f is fJes sy' namic..forpue in.fcot pouno'.s.,_ Cr. 4 Me. forpse _ coefflai*.nt., Dis the.vo/re. a'iametee.in feef asea /_4P is./he. for'c/_ pressure o' rop across. Ne_vs/re_bilps r.. AP

  • B _ + Vi A_+ }/;*

29 23 i e,',, t i t i i ~ so i ~ ~%s' b 9 l o 20 M\\ h j 3 6 I A i / \\ y t / \\ e ., i f. g. ~ jQ ' / \\ f rI \\ / \\* l P- \\ / * \\

  • /

i \\ ? / s s \\ a t 3 / e i ( 4 t i 1, f i { 0 i f I h o s _,, i h = N y f) k9 l i ,i \\ s i. u-O to 20 30 40 SO 60 70 bo go Disc An_q/e (*open) i I l

[ l I i l i { i Test 25 P = 10 PSI T t l 90 5 2.5 2.5 .69 2.21 8.4 80 4 2.5 1.5 2.75 14.67 9.1 >l l 70 6 2.5 3.5 3.44 7.86 11.8 F 60 7 2.5 4.5 2.75 4.89 13.2 I 50 8 1.5 6.5 1.38 1.70 15.2 I 40 9 1.0 8.0 .34 .34 16.5 l l 30 10 1.0 9.0 .34 .30 17.2 1' 1 20 10 0 10.0 .59 .47 17.2 t j 10 10. 0 10.0 .25 .20 17.2 i 0 10 0 10.0 -1.72 -1.38 17.2 I i i i i ~ i L i 6 i i i j 6/700087 l 4 i l l i 1 i i i I l e f I h \\ I i i i i i 4 ... - - - - - - - _ - -, ~... - - -..

CUSTChis DATI R/r FYow E.rsts_ NR.M./Longley feOcorch.. Center _. Nov.f &.>979.:,,,,, y e, 7 SutJtCT

Fitum, pgmag f

Yl O bd NEerO.,h. EONS $eO Ye j $YW, ef. \\g Deawiao

=u

u r o m u.a.A.=A.C CALCULATED ST p ENGINEERING CALCULATION SHEET IE'37 A/. 25 C ALLIS OtALME tt FCem 671$.8 6/ve. disc.fiicMness to diameter rotto :.'/2 ..Zaifia/ ppstreone pressure.:. 15 . _ h/re.orien/ofion.ren. F/gure 0 . Torpee.eguetion,ose d.; comfricarnf_:. 7d. =.Cr x 0.! rap ..where_Td../.s fAe, dynamic.forpee..in.fcot.pouno'.s., Cr As. The. 7'orgue_ coeffloent.,_Di.s.the,ys/re: c'omskr in. feet _asrd_M i.s. f./re i tofa/.p,ressure_deop acro.s.t.fde.rs/re haips~r.. AP=l.Pi+M* - _ E L. fQ*).3 's 23 i l ( a b .9 i s 2o lo !d i u N Jg Q l l l I Tx ../ r x t / \\ \\ ( l i \\ r i .4 0 a I I I i 4 o en) i t 4! l y I t (G / .R l l ~) 4 i i . o. 0 10 20 30 4to SC M 70 80 90 0/3C Ang/e (*Open)

f CJITOmta Daft Air Flosu 7e~ sts._ NR$4/Long/cy fosearcJr. Center _. Nov. t &. >97.9., ,,,,a 3 a, 7

suanc, m u.n.

/7//B cho/mersJ ~..Streamsea/_ Benferf/y Volot-Moo'e/. ( ) o.4-io w-us u rwo u... catc m us n p ENGINEERING CALCULATION SHEET 7 2=.s f / VO. 25 ALLf 5-CMalafIl Porne 671S.I -Valve a'uc.thicMness fa a'ometer.rst/O.:../2 i _ Zaif/a/ ppstream pressure.:_ 20

  • _. __ Va/re orien/ofion rer: F/gure 9

-- Torgue.eyuot/on.an o'. coe:"ficknf : 7d'_* Cr.! D.'x 4P . where_7d../.s f}e. sy' namic.forpue_in fcat_.pouno'.s.,_ Cr. 4 the. forgue coeff' /ca nt,.. Dis the rs/re. er'anrefer in_feef and_4P /.s..ffre / fofo/_ pressure o' rop. acro.c.r.fde_ rs/re.u:er ips r. _ AP = B + Vi _&_t).1*. 29 23 I i l l i 3 i I l ~ e r 30 l i i ~S v s 9 i l i a :o i 4 f I E go l j e Q ~ i h i 9 l \\ A i \\ l \\ 0 \\ n \\, 8 8 ~ i \\i i i 6 r i-a g b i l o g i e i e /p f i o i 8 g i g k i y i A l ( ) k i \\_) - 20 ' -~ O 10 20 30 40 SO 60 70 80 90 0/3C.AMfld (*Open)

Test 25 P = 15 PSI 3

  • Open P

P AP T C Temp 'F 1 2 D T 90 5.0 2.5 2.5 .69 2.21 5.1 80 6.0 2.5 3.5 3.09 7.06 8.4 70 9.0 2.0 7.0 3.44 3.93 11.1 60 10.0 1.5 8.5 2.06 1.94 12.5 50 11.0 1.0 10.0 1.03 .8 13.8 40 11.5 0.5 11.0 0 b 15.8 30 12.0 0 12.0 -1.03 .69 16.5 20 12.0 0 12.0 -1.38 .92 16.5 10 12.0 0 12.0 -1.38 .92 16.5 0 12.0 0 12.0 -2.06 -1.37 16.5 i Test 25 P = 20 PSI T 90 7.0 4.0 3.0 -1.03 -2.75 5.1 80 10.0 4.0 6.0 3.09 4.12 7.1 70 14.0 3.0 11.0 3.44 2.50 11.8 60 16.0 2.5 13.5 2.06 1.22 15.2 4 50 17.5 2.0 15.5 1.47 .76 18.5 40 18.0 1.0 17.0 .34 .16 18.5 30 19.0 0.5 18.5 . 34 .15 18.5 20 20.0 0 20.0 -2.06 .82 18.5 10 20.0 0 20.0 -1.03 .41 18.5 0 20.0 0 20.0 -2.36 .94 18.5 i O 6/5652 9 - -.. - -,,,, - ~ - .--.-,,e

.ww.ma s Daft kl/*,_[/oid [dsY3_ NA$k QMf dy kosedft~b. DnYer NQW, $ ke / 97.9 _ gnggs f op } / suo.cr m u.. ,i a.. A///s ~. Cho/mers_4.".3rreamsea/. Bent'erf/y Vs/rn-Mooe/.. o.aw ao au-us uvao.. u.. 4. ..e c46a tario u j g, ENGINEERING CALCULATION SHEET 7&.s? /VO. 25 ALLil.CeatmtB1 ,Ctm 471S., o _Ya/re o'isc thicMness fo. diameter _rst/o.* _ * /2 Inif/s/_upstrecar pressure.: _ 30 ^S Va/re.orienfofion.ren.<C/ ure V f Torfpe.eyest/on on o'. eosffic.krnf.: 7d

  • Crf.LO_'= 4P

~ ..tvhere }~d /s fje. dynamic 2%.rpue_in.)Ex>t_. pound.s.,__Cr..As Me foryer ~ comf.ftaknf,..D./.s.the ys/re, o%neeAr_in. feet _ano!_.4P is.fjre tofc6 pressure o' rop acros.r..Me xs4eakpTr. AP =' A 2 Vi - _&_2 W \\ 29 29 ) ',, s ',, 1 i i I (m) ,L/ %m 20 g -s =k i u I l 10 f f l g i D l [ o i .x iP 3 3 A 6 i e \\ i i \\ i \\ S I \\ f I i O I \\? g 6 i1 + = /0 g" = ,e. u 9 I s I j -10 O 10 20 30 4'O SO ' 60 70 80 90 A/34*.. AMf e (*Open) / .g- .g,. _ _ l.. dJAL e. eer

CUSTQuit oAM h//:.[/OW Ib'sY3._. JNY$$ aMf gy kdocofCh_ {enYer__ NOY, / OR?, /97_9.. yeggy [ op l / SUBJECT PftLim. PIMAL A//h Che/mers 4 ".3treonssea/ 8v// arf /y..Vshe Mode / (O,j osawiao au-sen u rwa in u. .A.e catcutario er ENGINEERING CALCULATION SHEET NST /VO. ES ALLi$.CM ALmits POtu 67f S.I Mr/ve dhc thicMness to diameter. rot /o_:.. /2 Zai//o/_epatrecar. pressure.:. 40 A Va/re or/en/ofjen.sw:_ Figure 'V Torpre eguation s on o' coefric.4 nf_:. 7d" _.= Cr.E D.!." AP W/rere_.7d /.s /Ae.dynom/c hepue.In fcof pounds.,_Cz.is theaforpoe .cosff/chnf., Di.s.the.rs/re, o'iometer.in_ feet ano' 4%/s fhe to1'odpressure drop _ acro.s.r fde_vs/reay37r sp =.25 + M * ) - _Pa_2_V./z*)\\ ^

29 /

23 i l i 'l j 6 I I e l i i ? I i 8 i i gg 0) l 'V y w t j 2, i _s il i l 10 e h , Q( i i s I s N i t i A i i I f f i \\t i i t b 6 g \\ t Y i g i \\ \\ 1 g . /p \\ i q I \\ h I i \\. \\ i t i u i I l' m o 10 20 30 40 SC 60 70 go go _ Disc. Reg /e (*open) .i==$ h e me 6

1 i s a Test 25 P = 30 PSI

  • Open P

P AP T Temp *F y D T 90 12.5 7.5 5.0 -9.28 -14.8 9.8 80 14.0 6.5 7.5 .25 .27 10.5 70 22.0 5.5 16.5 2.41 1.17 17.2 60 25.0 4.5 20.5 1.38 .54 20.6 50 26.5 2.5 24.0 .69 .23 23.3 40 29.0 1.5 27.5 .69 .20 24.6 30 29.0 1.5 27.5 -1.72 .50 25.3 20 29.0 1.5 27.5 -4.13 -1.20 25.3 10 29.0 1.5 27.5 -5.16 -1.50 25.3 0 29.0 1.5 27.5 -2.06 .60 25.3 1 Test 25 P = 40 PSIG T1 90 18 12 6 -14.8 -19.8 17.9 80 19 11 8 -3.7 -3.7 18.5 70 28 10 18 2.1 .91 21.9 60 33 7 26 1.03 .32 30.0 t 50 36 4 32 .4 .1 32.0 40 38 2.5 35.5 -1.03 .23 33.3 30 39 2 37 -1.2 .27 34.0 20 39 1 38 -6 -1.26 34.0 10 39 1 38 -8.25 -1.73 34.0 l i l \\ 6/0087

CUSTOett GAT 1 Alt Flow 7e"sts_ NASA /Longley fe. search. Center Nov. / Dre.197.9_.,,,nn 4 er 7 54 EJECT A///s Cho/mers 4.". Streamsen/ Butterf/y Vs/re.Moa'e/.

PeaLam, p,wat osaw no au-us uvwoin u.s.a. A.e catcutaito a p ENGINEERING CALCULATION SHEET R37 /VO. ES Attts.OsalmIIS PCam 471S.t Valve..ds:scJhicMness.fo diometer..rst/o.:.. /2

-. Iniflo/ epstream pressure *. 30O Va/re oril.nfofion ren.Esyure 'V . Torpue eyuof/on +ono' coeffic4nf :. 7~t

  • Cr.E O' x 4P W/rere 7d /.s fbe oy' namic..forgue in.fcot pouno'.s.,_Cr..s:s the_ forpee__

Aceffleknf.,. Di.r.fhews/re. o'/ameke.in_feef_.ano' 4P is f_he fo!'c!.:. pressure o' rop acro.ss. FAe ro/reu:er_ps r: _P, +fg*_ AP = Pr + Vi ~ 'S 23 i o,,i, t i i I i l. i j so g u. !i 2o jo ai l j,o i c I a f 3 i O o l e g i n %'3 t 4 ! \\ f \\ '\\ 6 o 1 \\. /o s l l \\, ~ l = y l \\ l I k. O .za O to 20 30 4so 30 60 70 go go -. Disc Rng/e (*open) m . -... ~ p; \\ %2__?

CU370#8 t GATE 27/r_F/ow.7e" sts.__ NASM/Lsnglay fe.scarc)r.. Center ___ Nov./ Cec./979_ ,,a y a, 7 suo.C, mu. A. A//h ~_Che/nrer.s_4 " 577eamsoo/. Bufferf/y Va/re Afoo'e/.-. oum o u.... m... u.a.m. A.c o scu w io u j 9, ENGINEERING CALCULATION SHEET 7e.st /Vo. 25 ALLil-CMALut R$ POtw 471S.I _Valveduc_ thickness to d/ometer.rst/o.:.. /2 . In///a/ epatream. pressure _: d>OP$ Va/ve.orienfo/ ion.rer;_Eiyare 9 -.. Torfue _eruot/on :an o'. co ffic.4rnf :. 72_.=_ Cr_E.D.' x.4P CUAere 7d /s t}e sy' namic._forpue_/n fcot. pouno'.s., _Cr..As the_forfee comfftakenf.,.A/.s the.ys/re, s' ameter_ in_feef._ans_'..oP_ i.s. fJre i fo1's/.: pressure _ o'eop_.aero.s.t. fde._ys/re_ Ar:1ps r. A 2n*^/ \\ AP *.P3 + Vi

29 23.

t 40 i 4 l l 4 4 i I i 2o _I o i l$ i4 i 4 j(y l to j l i gD i K, o i l i N 1 6 i A i I I \\ b x g i x 1 \\ i o l \\ '., - /o t w i t t 4 l I^\\ 9 l -zo t 1 L.) o so 2o ao yo so. so ro so go _ Disc. Ang/e (*cpen) \\ i

  • )D~Tl@~

yo D bo o Ju.1 AC

f Test 25 P,,, = 60 PSIG O Disc Angle P P AP T E T T D T i 5 6 r 90 18 12 6 -14.8 -19.8 17.9 90 19 11 8 -3.7 -3.7 18.5 70 28 10 18 2.1 .L' 21.9 60 33 7 26 1.03 .32 30.0 50 36 4 32 .4 .1 32.0 40 38 2.5 35.5 -1.03 .23 33.3 l f 30 39 2 37 -1.2 .27 34.0 20 39 1 38 -6 -1.26 34.0 10 39 1 38 -8.25 -1.73 34.0 Test 25 P = 50 PSI T r 1 t

  • Open P

F AP TD T 90 24 16.5 7.5 -17.19 -18.34 30.7 80 26 14.5 11.5 -3.09 -2.15 32.0 j 70 37 13.5 23.5 2.06 .70 38.7 60 42 10.0 32.0 1.03 .26 42.1 I 50 44 6.5 37.5 -1.03 .22 45.5 [ 40 47 3.5 43.5 -2.06 .38 45.5 l t 30 48 2.0 46.0 -1.03 .18 45.5 20 48 1.0 47.0 -8.25 -1.40 45.5 10 48 1.0 47.0 -9.63 -1.64 45.5 0 48 1.0 47.0 -6.88 -1.17 45.5 P 6/124284 t t

CUSTOngt OAft /?/r_F/oso Tests._.NRSA/Long/ey.fosearch Center Nov. / Dre.1979, t,.n, / e, 7 $UBJECT PetLin. FIMAt s9/hs Che/mers 4 ".3freamseo/_ Ben /erf/y Va/w istoa'e/. (mv) e oAw=o au-us u r. m u...i.. cAtcutArto se p T-l ENGINEERING CALCULATION SHEET 7&.st /Vo. 26 v ALLIS.CeAustas Poem 013 8 Vake discJNcMness fo.diometer rst/O.: /2 e _Zaifto/_apstream pressure ;_ to /='! yoke o,it,f,fjo,_,eg_p,yy,e ')J ' Torpee..eyuet/on.an d. coeffic<Lnf : 7d. = Cr E O.' xAP SW/rere. Td /.s f}e.dynam/s.for,ove_in. foot pouno'.s, Cr.s3r the. 7'orfee coeff/cArnt.,. Di.e the.yo/re. diametes_in. feet _ano'_ AP_ /.slh# tor"c/_ pressure. drop _ acro.s. /de rs/reukps'n AP=Li+M* _22_+ M * \\ e 29 ' 29 ) j i r t '~~ t so l / LI s 9 /7 {$ i // . M 6 JV

C zo mi i /\\ y i

i axv EN N/I i / N. N /- 6 1 i /N \\/ i i e /A. \\/ t I i /\\ \\i / r 9 i A N Y t 4 y I

  • gg i

6 I / \\- 'yi e e 6 I/\\ ya i l ? /\\ V t w I i 'I t l /J V i l fy-t y e ~ i I i / i V i N i f + _/ I i 1 0 i i h l e l b l % io i i e ) t l k i o 4 U -10. 20 30 4to SO 60 70 go go o 10 O/3C. A Mf e f Ope /t) l e e. m e emme e = -. - - de e . emmee* me ee. me ,e ensuipe=e. e - e..eums.m e. m-e ee. omema. . een

CU370mge OArt atr_E/ow 7e" sts_ AfRSM/Long/sy fasearch Center Nov. f.Dec. /97.9..,,,,,,, j e, 7 suu,e, emm. , mar 4//h cha/mer.s_4_".37r.*amsea/. Butlerf/y Va/w. Moo'e/. (/ o..i o aum.i. u ru. m v... .A.C CAscutAno av ENGINEERING CALCULATION SHEET RST. /VO. 2G AltlS.CMALuf t1 POam 671S.t Valva-duc.thicMness fo.o'ometer roNo.:.. /2 / .-. Zaino/.epstreom. pressure :_ /S ' Va' /re.orien/often. swr. Eiyure /I Torpee eruoflon.ano'; coefficknf :._ ?~t =. Cr.ED! x 4P where Zt /s.fJe.cy' namic forpue./n.fcat pouno'.s., Cr u Me.1/orpee-_ coaff/ah nf, Di.s. the, vo/re: diomsfer /n_ feer _' airo_.4P_ /s_ fire ]ofa6 pressure.. drop acts.cs.2%e_rs/re_Ar.i.psr. &_th*]\\ A P = f i + Vi 'S 2S 17 I l { l I t e s i 9 s .h 8 I ,l 30 e i i I ~ v 1 v D I /\\ / / N /- 9 f % A Y M i AJ V 20 / h/ n / N1/ -l g i A 7 8 l M L Y .__{ h /v A/- R l b t I A/ - 8 elf s si/ 5 i 7 / 10 i / i g 6 /. t / T i / 1 i / ( s' #. i i I ~ i 0 l i l l 8 s f l I 4 %. /0 k e t l = i f 4 u (% 9 i - 20 1 0 10 20 3o 4to SO 60 70 go go _0/3C angle (*cpen) i

i i Test 26 P' = 10 PSI O i e

  • Open P

P 0 y 2 D T 90 4.0 2.5 1.5 5.2 27.7 9.1 L 80 4.5 2.0 2.5 6.6 21.1 10.5 70 5.0 2.0 3.0 6.8 18.1 11.8 60 7.0 1.5 5.5 5.0 7.3 13.8 [ i i 50 8.5 1.0 7.5 2.7 2.9 15.8 l 40 9.0 0.5 8.5 1.0 0.9 17.2 ] 30 10.0 0 10.0 -0.6 -0.5 17.9 20 10.0 0 10.0 -0.6 -0.5 17.9 10 10.0 0 10.0 -0.8 -0.6 17.9 0 10.0 0 10.0 -2.1 -1.7 17.9 /"'g Test 26 P. = 15 PSI Q 'l 90 5.0 3.0 2.0 7.0 28.0 6.4 I 80 5.5 2.5 3.0 8.5 22.7 7.8 70 8.0 2.5 5.5 8.3 12.1 11.8 60 9.5 2.0 7.5 6.0 6.4 13.8 I 50 11.0 1.5 9.5 3.5 2.9 15.8 40 12.0 1.0 11.0 1.0 0.7 16.5 30 12.0 1.0 11'.0 -0.6 -0.4 17.2 l 20 12.0 0.5 11.5 -0.6 -0.4 17.2 10 12.5 0.5 12.0 -1.7 -1.1 17.2 0 12.5 0.5 12.0 -3.3 -2.2 17.2 1 1 6/135616 I 1

C1170maa Daft 27/r F/ow Tests ___NASM/Lsxg/cy fesearch. Center Nov. / Dec.1979. ,,.n, j e, 7 sw.cr mum. ,m.6 . A//h-che/mers 4_" Streamsea/ Bv//erfly Vs/w.s*fooW. y -u n mir-. m mi..... cAicmno it p, g, ENGINEERING CALCULATION SHEET R.st /VO. EG Attal CMatast RS Potas 67181 . Valve dhc.thicMness fa.a%rareter. rot /o.:.. /2 -. Limo /.ppstreom pressure.: 2 0 ' Va/re onesfafion.rrt.. Fryure ll . Torfee.eyuot/oa on d. coefficksf.:_7d".=_ Cr.x_D.! = AP atirere_7d /.s fle. ay' namic. forpow./n.fict pouno'.s.,_ Cr. 4 fAe. forree Coeff/cArnf.,. Di.s the_yo/re.. dianaeter in.feef_ ane&_ AP_ t.s._fhe fofod. pressure. drop. acro.s.r the ys/reak.tps r. AP_ " Li_+ Vr

  • A. 2.} Q *)\\

~29 29 i, .,r i t i i i i ( i l l i i l i y i .o$ .R U t, ' 9 y I / .u i l\\ 6 i / l 4 / 4 i / ? t ,/ t b i s t / a I / y I i / i ' to ', / / i .i k 1 A w l 6 f. I 6 / i 6 1/ i i / r i # 1 ( 1 e i

  1. a i

i 0 N i i i e i ) 7 4 l 4 o %,g i i n I g tk _2 u 9s i I w.J i _;o o 10 20 3o 4to S0 bo 70 80 90 Disc. Ang/e (*open)

DATI CulromtP d?/r Flow 7e* sts NASM/Longley fe. search. Center._. Nov. / r:W 197.9_,,ur y e, 7 mu.. suu.cr A//4s _cho/mers_4 ~ 3rreamseal Benferfly Mr/c Prode/. ,,1 o.*-mo au-su u r... u..... caicutan o a a

V l

pf-t ENGINEERING CALCULATION SHEET 73'37./VO. 26 Attt$.OIALMEll PCSM 6713 3 _h/ve disc.thicXness to d/ometer.rct/o.:_. /Z Iniflo/ rpatream. pre.csure.: 30 ' n/re.orienfofion.rrt;_Esgure ll Cr_E.D.! x AP _Torree eveof/on.ono'. comfric4rnf._:._.7d' w/rere. 7d../.s t)e. dynamic _forgue In./%ct._ pound.s.,._Cr..As the torfre-Coeff/aL=nt.,..D/.s the vs/re: a'fameter_.infeef anol 4P /s fke tofol_ pressure o' rop ocro.s.t. fde_vs/rea'.p.s n n AP =.B + Vi -- ( P + h *_ 2 29 '( 23 i i i i i 2 i 30 %s y m i l1 / io 20 / \\ t i / .N I I w/- i i i

  • /

I I /i i 9 I t /i ! - go i, i e / i . s / /* / I i / .jr 9 I s a f. 6 o i i i i l l l g i i. o = /0 t i o i g t O u a %J -20 o to 20 30 No SC 4*O 70 80 90 _ Disc Ang/e (*open) t

i 4 Test 26 P = 20 PSI

  • Open P

P AP T ""E D T 90 7.0 3.5 3.5 10.3 23.5 6.4 80 10.0 3.0 7.0 13.2 15.1 8.4 70 13.5 3.0 10.5 11.1 8.5 11.8 l 60 15.5 2.5 13.0 8.5 5.2 15.8 50 18.0 2.0 16.0 4.7 2.3 17.9 40 19.0 1.5 17.5 1.2 0.5 18.5 30 19.5 1.0 18.5 -1.0 -0.4 18.5 20 20.0 0.5 19.5 -1.2 -0.5 18.5 10 20.0 0.5 19.5 -1.7 -0.7 18.5 0 20.0 0.5 19.5 -3.5 -1.4 18.5 Test 26 P = 30 PSI 90 12.5 7.5 5.0 14.9 23.8 11.8 80 16.0 7.5 8.5 16.1 15.2 13.8 70 22.0 7.0 15.0 12.8 6.8 18.5 60 25.0 3.5 21.5 9.9 3.7 22.6 50 27.5 3.0 24.5 5.6 1.8 23.9 40 29.5 2.5 27.0 0.1 0.03 25.3 30 29.5 2.0 27.5 -0.2 -0.06 25.3 20 29.5 2.0 27.5 -2.5 0.7 25.3 10 29.5 2.0 27.5 -2.1 -0.6 25.3 0 29.5 2.0 27.5 -6.4 -1.9 25.3 O 6/8095

s'J3'CmEt GAtt-- Bir_F/ow Trests_ AfRSA/Lang/cy Research.. Center _ Nov. / Dec.197_9 = ww f C, 7 suo.cr mu. .6 A///:s.~.Che/mers.4_". Streamsea/ But/erfly Voln-Moo'e/.. y osa-o aumm ur. u. ...e catcutareo n j 9, ENGINEERING CALCULATION SHEET 7kst.. A/0. 2C-ALLil.Qt&Luf f$ PORM 471$ 1 .__ Valve dise.thicMnsss to diameter. rot /o.:_ /2 . _.Zaillo/ epstream <pressun.:_jo ' Va/re.orien/o/ ion. ret 'F/gure ll' . Torfue _e7uoNon aan d. coefficArnf_.* 7d' ! Cr.E D.'.x 4P W/rere 7d /s f}e. dynamic..forgue /nkt pouno'.s.,_Cy. 4s the.-forfre_ Coeff/cArnf_, Dis _the..vo/re: d/amefer in_feef_ano'_.dP 4s_fhe to/o/. pressure _ drop. acro.ss fde_ys/reukpst; _&_t_V_z*_)\\ AP *.&.? Vi S 29 a I 30 Q V l b i f i / i I1 l l a' s l o

  • y

./ i q t / ! w s I4 l f ,D fo i i i Q / i sf-6 I /, t t i e 3 6 /* e i I v 6 I ft a 4 0 i + i i e i i 4 i o %. jg l o e r h I g i i u -20. O to 20 30 4,to So 60 70 80 go A/3C.Ang/t (*Opert)

m M m MUJ.lb

Ol1TCell OAII k/r.f/cid $3Y3./VA$k b$Mfldy $=3 W Y $$A SY. NCY*/ E *lV79. sntit h Cf f gygJgCT 79Etim. PtM&L A//u..che/mer.s. 4.~.51*reamsea/ Bin /erf/y Vo/>e. Mode /. Q o... o us u r. in u... . A.c cAtcutario o ENGINEERING CALCULATION SHEET l 75=.57 /VO. Atti$.CMALmit$ PCRd 671S.T -._.Va/ve. disc fhic// ness /o.diometer Foilo.:

  • lI"

_. Iniflo/.epatrenne pressure.:. 50 PS/G Vo/re. orienfo/ ion.ren_ F/gus1e A J'orpse.eyuaf/on on d. coeffici.nf :_ 7d" = Cr.E.D.'x AP . WItere._Td /s the /ynomic..forgue.is. feet. pound.s, c. 4 the..r'orgue r coeff/cknf.,.. D4 thejo/re. cr'/eneefer in_feef and.' AP_ is_flre fofo/_. pressure drop acros.t. fde Vn/re.Ar.Lp27. AP

  • A_R Vi

_E2 t$_ 29 29 f i i r 4 i i l I I t L l O' i V u, -r / I t i I e i 20 n / 1s = s n j-t - / ,/ r !/ ~ 1 / l 9 A f /! go f t / s i s , / ) $/ l 4 l u I t F t O ( i N P } I i ~ l 4 i f \\ D t i nh t a u q ~ ,g ? l 4 U _2, do o io 20 so e so so 70 so Disc.. Ang/e (*epen) k

l Test 26 P, d 40 PSIG 'l

  • Open P

P P T ""E 2 D T 90 18 12.5 5.5 18.57 27 19.9 80 22 11 11 20.63 15 21.9 70 28 10 18 16.51 7.34 25.9 60 32.5 7.5 25 11.86 3.79 32.0 50 35 5 30 8.35 2.23 33.3 4 40 37.5 2.5 35 2.46 .56 34.0 30 38 2.0 36 -2.46 .55 34.7 20 38 2.0 36 -2.46 .55 34.7 10 39 1.0 38 ,4.13 .87 34.7 0 40 0 40 -8.25 -1.65 34.7 Test 26 P = 50 PSI T 90 24.0 16.5 7.5 22.7 24.2 32.0 80 27.5 15.0 12.5 23.7 15.2 33.3 70 37.0 13.5 23.5 18.6 6.3 38.7 60 42.0 10.0 32.0 13.2 3.3 44.1 50 44.5 6.0 38.5 8.3 1.7 45.5 40 46.5 3.0 43.5 2.5 0.5 46.8 i 30 47.0 2.5 44.5 -2.5 -0.4 46.8 20 47.0 2.0 45.0 -2.7 -0.5 46.8 10 43.0 2.0 46.0 -5.6 -1.0 46.8 0 48.0 0.5 47.5 -10.3 -1.7 46.8 6/489193

CU370mit ~ DA '* klf_ f/o60 f$sY3_ Nk$S Anf dy as60 . D MYe_f__. Nog l k,/979_ / l op l suggg $ULJECT PttLam. Plasat .a//h cha/mer.s.4 ".3rreamsea/ Bu//erf/y Va/>1./stode/.. v o..

m..

catcutino., p g, u n.. o... .A.c ENGINEERING CALCULATION SHEET 7 h s 7. / VO. 2 f= ALLIS.OIALmatt PCena pts.1 ._Value duc1hickness fa diameter.rstto.:.._./2 _ Zai//a/ ep.streem pmssure.:.jo ' __ Va/re.orisnfofion er. Eisum. ' ll ^ _.7arpe egastron.a#d. conff/ch:nf :.7d" ?_ Cr.r.o ' ~ A e _. where. 7d_/s the dynam/c.torpo.in.fxt pouxd.s., cr 4 the forpe-Coefflai*.nt.,.. Dis the.rs/vo diamekr_in.feef_and 4P_ /.s_fhe _fofo/. pressure drop..across J'Ae rs/reu:rups~r.,' sp=f.B_tvi - _Pa y_S*)\\ \\ zS 29 , i,. ', J l I i 1 i 30 t I m b vi i j\\o 2a


j n

l9 i /r ev t A7 I .AV i AV l 9 AV xw to ^v } Ay, W t a f f i / ( /I i ? o 6 b l o % _ f, i S = a i u ( j) \\. o 10 20 3o 40 S0 60 70 go 90 ._D/sc. Ang/e (*cpen). _ l l

z._ i I Test 26 P = 60 PSI T 1

  • Open P

P AP T y D T 90 29.0 18.0 11.0 25.0 18.2 38.7 80 32'.5 17.0 15.5 26.2 13.5 41.4 70 41.0 16.0 25.0 20.6 6.6 47.5 60 48.0 12.5 35.5 15.3 3.4 51.5 'i I 50 51.5 7.5 44.0 9.9

1.8 52.9 40 54.0 4.0 50.0 3.1 0.5 52.9 30 55.0 2.5 52.5

-2.1 -0.3 53.5 4 20 55.0 2.0 53.0 -2.7 -0.4 53.5 10 55.0 1.5 53.5 -6.2 -0.9 53.5 l 0 55.0 1.0 54.0 -10.7 -1.6 53.5 i D D i i s c p i e *g %= e 4 A \\' k o .m. .. +.,, n.--m a e.n-,n, --,.cv

wen,

.---,,,nrwr ,--v.m.

1 i. CUSfonte OAft Air. flow 7eLis_ NASM//.cng/cy fasearch Center._ Nov, / k, j979.,,,,,, j,, 7 susnCr n a u.. os,.as /3 A//h ~._C~hs/mers 4." Streamsea/ But/erfly Vs/re /*fode/ / i ( i.awino hum 6aa u y wo see u.a. A.e 4,C CALCWLAIED 87 i ENGINEERING CALCULATION SHEET Rst/%'o. 27 y . m s.o.it...s ,o.m uis.. __. Valve dhc.thicMness fa inomater.rctie.:.. /2 __Zalf/s/.vpstream pressure :. /0/S/C._.._ Va/ve. orie.,fotjo., ist; figure l2-7"orpoe. ageot/on.on o'.cosff/cknf_:. 7d_= CrE D.!= 4P ~ - where.]d~ _/s fAe dynamic.rbrpur./n fcot. pound.s, Cr. 4 /de. 7%rfre. coaff/cArnt.,..Oh the vo/re ediameter.is,_feef_ ond.dP. is.fhe. fofs/_ pressure. drop _acros.r /Ae.rs/reakpsr. bh ".Ya ? _ V! .3)h 29 .29 i I 1 so i m ~ b

  • m N

I / 20 f ,;O p i t / 1 I / l I t I s k ~ i, f i i i i I ! , IQ / 3 3 l l t i / e i i i. l / L j . / f-l 4 g V i fl i t e i s g ~~ m l l 4 f .Q.. i f .w. 1 W 6 D %. jg y i = g 0 10 20 30 40 So ine 70 80 90 A/3C. Ang/t (*Open) i

i i l t Test 27 10 PSI i i I 90 5.0 2.5 2.$ 7.2 23.1 i l 80 6.0 2.5 3.5 9.3 21.2 l I 70 7.5 2.5 5.0 9.3 14.9 l i 60 10.0 2.0 8.0 6.2 6.2 h l i 1 50 10.5 1.5 9.0 4.1 3.7 i 8 ( 40 12.0 1.5 10.5 1.2 0.9 a I 30 12.5 1.0 11.5 -0.1 -0.07 i l 20 12.5 1.0 11.5 -1.0 -0.7 c i 10 12.5 0.5 12.0 -1.7 -1.1 l [ 0 12.5 0.5 12.0 3.5 -2.3 i i I I f i l l r i i 6/9207 I i 1 i i j l a a I t 'Jg i i h a I f i I i f 1 N i o 1 . ~. . _ -.. _. _., _ _ _ _ _ _....... _ _... _.., _. _ _ _. ~ _ -. _ _ _

c w o.ee aan R/r.F/ow Te.sts_. NASA /Longley fe. search. Center Nov. / C2re, i979 -,,,,,, f,, 7 e

=m n ui..

rm., ( ~', A//h Chalmer.s.4 ".3rreamsea/ Bufferf/y Mr/rr Pfoa' / e tj s o..--o u-us u r-.. u,m.... c.munw ENGINEERING CALCULATION SHEET R37 JVO. 27 ALLt$.Cest.8 R$ P0t. 471S.t ._. Valve dhe.tMcMasss to o'iomater.rst/o.:./2 .. Za/Mo/. upstream pressure.: /f)#$/G... 1/s/ve orien/ofion. ret;. F/9urc=. l2. Torpre..e7 eof /cn ond. cosfficArnf : 7x".!. Cr."_.o f = A P . where 7d_/s fJe dynamic.rbrpur.in.fwt. pouno'.s,.,_ Cr..is the. forfre dosfflai*.nt,. Di.s the,ys/re di'omener. in feet _ased_4R i,s_fhe tofalyressure-. drop acro.es FAe rs/re /er:p.Tr., AP

  • Pr + vr *

- _ & _ t y s*~)\\ 'S 23 u. J I i rm s f \\ V ,/ u i A ~J I /~ i /. , a 20 / i 9 / k l j \\l ~ /, i / i / l v ( A. i g I i a 6 i i i 6 k l i h = /0 l i = ~ l p's), - $y l I -20 o 10 2o 3o 4to So 60 70 go go _D/sc Ang/e (*open) i

CW5?Omaa D.M Ale flow Te.sts._ NASA 9/Longley fe. search Center. Nov.t k./979 ,,,,,,3 a,7

ivoic, n u..

A///s _Che/mer.s.4 "_3rreamsco/ Burferf/y Vs/>e Mode / .( o...,.o uv .. o... .... cucuuno,g ENGINEERING CALCULATION SHEET R.sr A/o. 27 AttlS-OtAlme.1 PO.# 4FiS 3 l Valve. diw.t/ricMness fo.//ometer.rotto.:.. 2 _ .. In/flo/.vpstreem pre.ssure.:. _.2D Af/ G _ -_ Volve or/en/ofion. rer. F/gure - l2- . Toryn eyuefton ond coeff/aArnf.: D_*. Cr.f D.' x AP . Where_R /.s /Je dynamic.foryn./n.fwt pound.s, Cr.e:s the. 7'orfee Coeffleknf.,,0f.s fhe,ys/ve.diamefer in fcef._ond_ AA' /.s fhe. _.tofa/.:. pre.ssure.derp_ acro.ss.f4e rsJreukp.~rr., b J ! Y! 2.? ~ ~'

    • S 23 e a a

t i i l /-- i t I I 1 I I i l I e I 30 l l-v .f I f~ [j 4 I e v-l l i I y y' zo s a I I I I, /, i gk / i i/ g 1 if ' jf d

  • ~

f I f e I / 6 i /- / j f f e f k i Y I Q i 4 l 0 m o 'r i i f 8 I i I ~ t 4 W 6 I y t - i. g v) g f, s i 9 _a O to 20 30 t#o SO 60 70 80 90 _ Disc Ang/e (*open) I

Test 27 15 PSI

  • Open P

P AP T ""E y 2 D T 90 4.0 2.5 1.5 5.6 29.7 not recorded 80 4.5 2.5 2.0 7.0 28.0 70 5.0 2.5 2.5 7.2 23.1 60 6.5 2.0 4.5 5.2 9.2 50 8.0 1.0 7.0 3.1 3.5 40 8.0 1.0 7.0 1.2 1.' 4 30 9.0 0.5 8.5 -0.1 -0.1 20 10.0 0.5 9.5 -1.0 -0.9 10 10.0 0.5 9.5 -1.4 -1.2 0 10.0 0.5 9.5 -2.7 -2.3 Test 27 20 PSI (( ) 90 7.0 5.0 2.0 11.3 45.2 80 10.0 4.5 5.5 14.0 20.4 70 ~12.5 3.0 9.5 12.0 10.1 60 16.0 2.5 13.5 8.3 4.9 50 17.5 2.5 15.0 4.7 2.5 40 19.0 1.0 18.0 2.06 0.9 30 19.5 1.0 18.5 -0.4 -0.2 20 20.0 0.5 19.5 -1.9 -0.8 10 20.0 0 20.0 -2.9 -1.2 0 20.0 0 20.0 -3.7 -1.5 O 6/9274

CulfC te oAft Alt Flow 7e* sts..NASM/Loorg/cy A'e.searck Center A % / Dre.1979,,,,,,, y a, 7 $USJSCI PitL3m. PlasAt [ A//h..C/ro/mer.s.4.". Strenmaea/ Bufferf/y Vs/re Afoa'e/ ( o... o au-ie u rno in u... ..A.c catcuuinon g ENGINEERING CALCULATION SHEET k.st /VO. A7 ALLIS-Otalant R$ PCpas art 3 3 . _Va/ve.dhc.f/sicMnass /o.o'/onsater rot /o.:. -l.2 . Zalf/al.pp, stream pressure.: 3_0PS/G Vo/ve orien/ofion.rtet: F/fc.*re. - l2-Toryve cpof/on:ond. coer ficknf *. 75' ". Cr.E.O.' x 4P e tu/rereJd_/s f}e. dynamic. forrow in.f~cf ~pouno'.s, _ Cr..t:s 1*de forfre_ .cosf.flaient.,. Dis. the ; rs/ro. d/oorekt.in. feet _.ased_ AP. is.fhe for'o/; pressure drop. across..fde_rs/re.:hr Lpa7. . Ez t_ V.Q D AP_

  • A_+ Vi
  1. 9 23 )

~ l 3 J l l y p j._ + b /. : I i f 20 I l% q 4 l f ' 10 I /r< /I i l / I i i / i 3 ( 1 6 Jr ~ i } g I i 6. O l l b I o l l %.m e g" l k l l o 4 (G %s 1 .,o. ?' 0 10 20 30 4tO SO 60 70 80 90 0/,3C Angle (*0 pert)

CVITQagg Dart A/r flow 7e~ sts-._ NASA /Longley fe. search Center. Nov. 4 Dec.1979 ,,,, y a, 7 SWmer mv ,,m A///s Che/mer.s 4 "~$treamsen/.Bufferf/y Vale Afoa'e/ Deawimo MUM 648 blTHQ IM Q.3. A..g.g CALCULAft0 GT ENGINEERING CALCULATION SHEET k.s7 /VO. A ~I ALLil-OeAlmsts PCem 671s.t .-.J'a/ve disc.2'htcMness fo. a'om ater.rotto.:.J2., i _ Li//s/ esatream pressure.:. 40t's/G. _.Va/re. orie.,fofion.ref. F/ ure l2-- 9 -. Torfue.eruof/on,en o'. coaff/c.4 nf :. 7d" = Cr.c 0.! x AP .. _. _. su/rere 7d"../.s t}e. dynamic..forpue in.fwt.p.wno'.s.,-.Cr. 4 the. forfre- _ caeff/c.iirnf,.Oh tha ya/re. dioneefer in.feef_ and.dp i.s fhe tofo/_. pressure-. drop acro.s.s f4e yo/re.:skps r. & t_Va* 42 *.Ei t Vi 29 29 -t l IL I I e e I i 6 i i e I I l g t f i i 30 l. J Os i I i I ~ h I 9 I l I t e 1-2. i Is o 1 9, / / i f / I t + i i / i s i \\ .s go l A i t /I e 1 9 / + i / a / i f f 9 f ( t i

  1. 1 9

I O I n w i 6 e 1 b s =k u ~ .D k ,gg 0 lb 20 30 Ano So 60 70 go go i _0/3C Ang/e (*0 pen) i oo c. g'.j i w o Ju oJ .1. h 1

l l i Test 27 30 PSI .)^

  • Open P

P AP T ""E y 2 D T 90 12.0 8.0 4.0 15.5 30.9 not recorded i 80 15.0 7.0 8.0 19.0 19.0 70 19.0 6.0 13.0 16.1 9.9 60 25.0 5.0 20.0 11.3 4.5 i 50 26.5 2.5 24.0 6.1 2.1 40 27.5 1.5 26.0 2.1 0.6 30 28.0 0 28.0 0 0 20 28.0 0 28.0 -2.5 -0.7 10 28.0 0 28.0 -2.9 -0.8 0 28.0 0 28.0 -6.4 -1.8 O Test 27 40 PSI 90 19.0 13.0 4.0 19.6 39.2 17.2 80 21.5 11.0 10.5 23.7 18.1 18.5 70 27.5 10.0 17.5 19.8 9.1 23.3 60 32.5 7.5 25.0 15.1 4.8 27.3 50 36.0 5.0 31.0 8.7 2.2 30.0 40 37.5 2.5 35.0 2.9 0.7 31.3 '3'6. 5 -1.0 -0.2 32.0 30 38.0 1.5 20 39.0 1.0 38.0 -3.1 -0.7 32.0 10 39.0 0.5 38.5 -4.7 -1.0 32.0 0 39.0 0 39.0 -8.5 -1.7 32.0 0 4 6/6389

customse o '.rt A/r//OW Nst3_./VA$A//.dMf dy $4 sed 71l')9 OnYdf. Nova / k,/979.~ snggg g op 7 / sua;uct restia. n.a ,b' A///s Che/mers.4 ".Streamsen/ Bufferfly Mr/w floo'e/ \\~ .<m....., 1 ENGINEERING CALCULATION SHEET /e.si /Vo. _ f 7 ALLil-08 Atha tS PCene 47,3., _Va/ve ahe.thicMaass to dismater.rst/o.:.. J.2.__ . Ini//o/.ppstreom preswre :. 50s#SIG___Va/re orien/oflon ret;. Fiyure. l2-Toryve.cye. otton.on a!. coaffichnf..*. 7d._*. Cr.L.O.' x 41P Wl tere 7d /s fJe dynamic _1brpue.in.f:!vt. pouno!.s _,_Cy.4 the 7'orgue j caefftakent.,.ou the.ystre, aiamete,. in_peet__a,,d_ AP /s fhe. r to fd6 pressure.. drop. acro.es. fde_ ys4 e 4.ps r.. AP =.Pa _ + M

  • a_ +h*/

\\ 'S 23 o n e .g 6 l I l i 1 I l 6 f I I I l M I I m i l s l 1 I e 20 q 'l f 9 / / t / i / i i y i / t ! / t 10 ,/ 7 l / i / f i ( /1 i t# t i 1 f I i j o 1 ( 1 g, o + s% i 1 .i .fo i e e t 4 O k u -zo 1 0 to 20 30 t/c So 60 70 go go _Di.sc Ang/e (*open)

CUS? Omit Daft i9/r Flow 73sts._ sVASA/Longley fasearch Center. Nov. / Dec.1979 -,,,,,, y a, ; suoea n e u.. ...t (7 A//h _Cho/mers 4 ~.3rreamsea/ But/erf/y Va/w Moo'e/ o.... o av..u u rno u...i....e catcutarao u g ENGINEERING CALCULATION SHEET 7~est /Vo. 27 ALLi$ Oc&LMIts Posae 4715. Vn/ve. due.fhicMness fa.o'/omster.rst/o :. -l2-In/Ro/. upstream pressum : 60f.1/c Vo/re orien/ofian nr: Figure l2- _ -_ Torgue eyuoNon..an o' coef,r/c.kenf :' 7d"

  • Cr.ED! x AP Where_7d /.s fle. dynamic.forpee /n_fxt_~pouno!.s.,_ Cr. As the forper Coeff/awnf., Di.s.the.vo/re: diameArr.in. feet _ ano'_ AP /.s.fhe

_fo1's/ pressure. deop.acros.r fhe va/re.:in:.ps~r. AP* A ?V* - ' A-.t_kL*- 29 23 l I E i i i i i t ~l' 30 .m ~~ g .*-oo 4 5 / 11 / J s 20 l 4 l = JA / l I ' lQ 1 ^ / / n / 8 i I A. s. / / / / y l o 1 i i I i 3 e i bs C' i 0 l l %. fo i g, i i i k l (v) 4; m 0 10 20 3o 40 SO 40 70 80 90 l _ Disc.Rng/e (*cpen) m e a m .e .e e. =

  • Test 27 50 PSI
  • Open P

P AP T C Te p F y T 90 30.0 25.5 4.5 23.7 42.2, 26.6 80 33.0 21.5 11.5 27.6 19.2 28.0 70 40.0 19.0 21.0 23.1 8.8 34.0 60 47.5 15.0 32.5 16.5 4.1 38.1 50 50.0 11.0 39.0 9.3 1.9 39.4 40 52.5 8.5 44.0 3.1 0.6 40.1 30 53.0 8.0 45.0 -2.1 -0.4 40.1 20 53.0 7.5 45.5 -4.5 -0.8 40.1 10 54.0 7.5 46.5 -6.2 -1.1 40.1 0 54.0 7.5 46.5 -10.3 -1.8 40.1 / Test 27 60 PSI 90 30.0 22.0 8.0 26.8 26.8 34.7 80 34.0 18.0 16.0 30.9 15.5 37.4 70 43.0 16.0 27.0 25.2 7.5 43.4 60 48.0 13.0 35.0 19.4 4.4 46.0 50 52.0 7.5 44.5 9.9 1.8 48.1 40 54.5 3.5 51.0 3.7 0.6 48.8 30 55.0 2.5 '52.5 -1.7 -0.3 48.8 20 55.0 2.0 53.0 -4.7 -0.7 48.8 10 55.0 1.5 53.5 -7.4 -1.1 48.8 0 55.0 0 55.0 -11.6 -1.7 48.8 O 6/6764

CJ8MB DAf1 A/r.E/ow rests NASM/4ong oy.fe. search Center s'av. f.Dec. t979. ,,,w / o, ") j s menact mum. e== .A//M-cha/mer.s 4 ".3rreamsealBuMerf/s. Vs/w Moa'el.. c -no u gg u r,,, ENGINEERING CALCULATION SHEET R32 /VC. 97 6 .uiso.u m ,o-.m.. &/ve d/sc.2' ickness.2e o'omater_xotto.L /.2 h / . Zaif/s/_rpatecem pn.swn.: 16f.C/ G 6/re orien/o/ ion.s.vLF/ pure. /0 _7o.=ree.epeat/on on o' coefucknf _ ! 74 = Cr_ w h.4 P when Zd~ /.sf)e dynamic _&ryow /n.fwt pouno'.t.,.._Cr As the.forfare coeffteent.,..Di.t..the_rs/re o'/amefer_in feef_.ano'A/.s fhe. fafel. pres.wre..o' rop _acra.s.r fde_r44e Ar.psn AP=(.ALtM* - - (A +,V. * \\ 'S ( ~ 23 ) g- ,,,,,.,,,,,,,,,,;,,,,,,,,,,,r,,,,,,,.,.,,,,,,,, fc O t to 7 T \\ u .i c sf A U. -tc i 4.g: O.3 I -'fC /c m so, ac sa c;o

o ec s,

c .l Of3C SP7C!G (*cy;]) ~ ~ ~ ' ' ~ ~ w y .b- = sr 6

CW3Tomas Daft p B/r.E/ow 7e~ sts_ NASA /_Longley..fosearch..Contfr Nov. f.Dec 197.9. f a, 7 ,.m u t,_ .d//in Chelmers 4 "_3treamsca/.Bunerf/y Vshe s+foa'el cucu'aitoe, y c.4-i u.a. u r v.s. 4.c l ENGINEERING CALCULATION SHEET Z3'st./V0. N Alt!SOALtttt$ PQtas 6F13.I i GlW9 /YtYNd33 0.l/d M 6/eE.] W [O.* l Iniflo/_ppstream peessure * /5'Of G ' Va'/ve orien/ofion.cC_E/furte l0 -_Torpee evuot/on ond._coeffkirnt ? 7~t *.Cr_=."D' x. AP - _ - ~ where Zd' /sfhedynamic bryce /n.fzwf. pouno'.s,- Cz As the fortee.- confficarnt.,.. Dis the rs/readlamekt_in. feel *-.ana' s* /.s ibe. fafol. pressure _ deep _ acro.c.r z'Ae_xs/re:/e:.psn AP ='f + 2S JVi* ) /*A + g )\\ \\ 23 g ........,,,,,,,,;.,,,,,,,,c, ,,c,c b l h f f e 6 n g. / N. I. \\. V i o ,\\ 1 JF 1 O ""'" _ _ _ - - 3 i .E O =IC e i 6 4

  • e
  • .ee-O_3

.Lo _q f O9M ^ M -4c c'- e6 .x &, so s e g 4 Dmc &gle (* cy=en) g ~~

  • ^ ~ ~ ~

0 ] k m@ D"*D . 2. oc a

I i Test 28 10 PSI t

  • Open P

P AP T C Temp 'F { l 2 D T 90 4.5 2.5 2.0 1.0 4.1 not recorded 80 4.5 2.0 2.5 4.1 13.2 70 5.0 1.5 3.5 4.8 10.8 60 7.5 1.0 6.5 3.1 3.8 l 5 50 8.5 .5 8.0 1.0 1.0 i 40 9.5 0 9.5 0 0 30 9.5 0 9.5 -0.4 .3 t t 20 9.5 0 9.5 -1.0 .9 i 10 9.5 0 9.5 -0,.6 .5 I O 9.5 0 9.5 -1.0 .8 j i Test 28 15 PSI O 90 5.5 2.5 3.0 .7 1.9 80 5.0 2.0 3.0 5.2 13.8 i 70 6.5 2.0 4.5 5.2 9.2 ( 6 60 9.5 1.0 8.5 3.7 3.5 f 50 . 10.5 1.0 9.5 1.4 1.2 40 11.0 1.0 10.0 .4 .3 l t 30 11.5 1.0 10.5 .6 .5 I i 20 12.5 .5 12.0 -1.2 .8 I I 10 12.5 .5 12.0 .6 .4 0 12.0 0 12.0 -1.7 -1.1 i l 6/4009 1

CJ1TC-38 OAII AMS dy..$$3to!Cl! & M?er NCy, / & /.973 _ y,ggy } oy 7 hlf $ioW $3Y3_ kN / C' SutJ4CT Pttkl.. FINA4 .A//h - &~holmers. 4 " itream.sco/ EuHerf/y.Vs/se.Afco'e/.. ca.. u. ur. v..m cucuwso a g ENGINEERING CALCULATION SHEET lb.st./Voe _AY l uus.o.a.m m...m.. Ya/ve ahe thicMness./o.o'/smater rst/o.L lA Zaiflo/ ep. stream pressum :. A0ff/G Va/re orienfofion.tet E/ gum _ l0 Toryn.eyuot/on ono' c.o*ffia:enf.* D = Cr xD$x.4P WAeM R /s fje./ynamk. bryw.in r~ cot pouno'.s Cr_As fje r'orfer_ n comfflaient.,.D.isJhe roke: d/amehr.in fee

  • ano'. AP /.s f/rc -

fofolpressure dro,p acro.srJde xx.4e Ar..pst; AP = A _ + V * ) - - O f) \\ -29 / 23 g ......,,i,,,,,,,, ,,,,,r,,,,c,,,,;,,,,,,,.,,., g n /c u _o / \\ ,/- \\ / t. g O

  1. F

,g. t I L (.k i ) i. b I =lC n t I' e. I ! l- . g. ~ q -r.: \\ ~ i 1 i <s .=..o-...--.. ,U.1-n i k 8 g. \\- e \\ Q- \\ l -.__ _.. _. gc xi &, so g ,y g k '~ "" l c' 10 x ~ -- ~,- r--n,.7, g 1-),,,, e ~ ~ - y. (c cMnj, l D D

l C' 870m4R BAft 4 8/r. E/ow Te.sts.__NR$M/_Lon_g/cy.fs.seareJr Costner .Nov. f.Dee. Lg7.9..,,,,,ya,;- 3WaJGCT Petkam. PeseA& .A//h _Chalmer.1 4 "_3tream.senf.BuWerf/y..Vs/w.Afoo'e/. casatario o g s.A-i o w-u e wv. i u. . 4 l ENGINEERING CALCULATION SHEET h3t /VO. N ALLIS41*LJaStS PCent plS.I Valve _dhe thicMness./o.o'iomaster rsNo.: - l2 Zaiflo/ ep.sfream pressure.:. 30PS/C 6/re_orienfofion.ryf: F/ uttr. l0 9 Torree ereof/on ona'.coars*chaf. 7d~ =cr<n'xep where 2d~ /.s /Je. dynamic brpee.in. feet. pounds.yCz is the fortre ' coeffleient.,-.D/.S.the.vo/se:.d/ometer in feef ona.' 6* /.s fbe-foft/_pr.c.ssure_o'eop. acro ce the rd/re. br..p.s~n AP = A + V*)-- +VO _3 AS.l 23 / k-1,,,.,,..,......i,,,i..,,,,,...., 6 i Q l' (/Q 10 I U e T- /" l l s v / s- .f .t fT \\ C L b -f \\. af .i. L. i-o

  • i l

=IC i I i i 0(' g _g; 1 ) \\ 3 ) \\ .t \\' -.-~ \\* m. .tn - p O 4 cf /C 23 SD,.io do C!O

b dC

' :tt 0/3C $/~C.l2 (* Cfodn) '~~ a l

l i Test 28 20 PSI t i \\ _- t

  • Open P

P AP T C Temp 'F [ l 2 D T l i 90 7.2 5.0 2.2 -11.3 -41.3 not recorded 80 7.0 5.5 1.5 -4.7 -2.53 I 't I j 70 12.5 2.5 10.0 6.6 5.3 i 60 15.5 2.5 13.0 5.2 3.2 l l 50 17.5 1.0 16.5 2.1 1.0 j 40 19.0 1.25 17.75 0 0 g i 30 19.5 1.0 18.5 -1.0 .4 b 20 19.5 1.0 18.5 -1.9 .8 4 10 19.5 1.0 18.5 -2.7 .9 0 19.5 1.0 18.5 -1.9 .8 t O Test 28 30 PSI i l 90 13 8.0 5.0 -18.6 -29.7 l 80 13 9.0 4.0 -9.3 -18.6 70 15 7.0 8.0 7.2 7.2 i 60 24 3.5 20.5 5.2 2.0 l 50 27 3.0 24.0 2.7 .9 l 40 28 1.5 26.5 -4.1 -1.2 I i 30 28 1.5 26.5 -4.1 -1.2 20 28 1.0 27.0 -4.1 -1.2 10 28 .5 27.5 -6.2 -1.8 0 28 .5 27.5 -2.3 .7 1 r i O 6/9217 l

e CasTCanst O&ft O'\\ kif$ W HAY 3_Yk$$ AMfldy Y $A M Y D M @_f_ .NQy,/ N e jf7f.,, y,ggy [ np } 34JSJSCF pt$44m. P,pe.g .A//it Chs/mers GL?treamseaf. Binferf/s Mr/w.ffca'e/... g, uv. m.. ca = i=0 - i ENGINEERING CALCULATION SHEET 7 g, yy ALLIS4,ALA6E t$ POI 88 EI*I . AfVt? W/YhledMd.%C. O. /AMGNE fW!O_ *-

  • Zalf/s/_epatrese preswre.: YOftl G Va/re ortexfofion.n f. Bfure. l0

_.Tofpa. avaation.snd coaasan/_: n = cr in'-ap l where Zus t><= dynamic _f.rma in.f.wt paa-o's.n f is ne torpe 1 c confficaat., Dis 9e voleesd/'***fer Jn feeLand' AP /A.U" +ofs/presswx o' sap _acros.r fAe ra/re Aupa~n sp = (h + w

  • 1 -- fa.!.y' *)\\

z \\ zs / \\ 23 g ,,,,,,,,,,,,,,,,;,,,,,cr,..,,,,,,,,,,,,,,,,-, - ce Q O p 4 } 10 o Q f 1 %r+ c o \\ g k i ,\\ 0 -ic i, \\ l i i I o -fc = i l' 4.. O.3 l I -<tc c' 'b 20 so, do da c

b eo n.

.Cisc Ang!e (io* c,=en) ~ D**]D D'T ~' i w o Ju . 1.\\ a i

1 i l CUSTomtt DAM klf* [!O60 / O.?3 _ N k.$ k $Nfldy../ $0WOrCYS- $$N Y? $0Ye f

  • l.$lS-9,eiti h 09 f E-gygdeCT Pttua.

Pt M A4 .aELc.Cholmer.s G"streomsea/. Bedferf/y Mehe. Afoo'ef._. l u.... uv. u c=wsoer g l ENGINEERING CALCULATION SHEET \\ N.st /VO. N ALLl$-0,AtmiRS Poem 47t3 8 Mt/ve disc 1McMness.fo o'iometer rodo.*

  • l2

._ZaiMaLep. stream pressure 150 At/ 6... Va/re prien/ofion.oR.&ysme l0 __.Toryn. ayeaMon ond coar fjchst !- 7d" = Cr dn'=AP e sabere 2&.js]Jesdynamic krpn in.fxt_.pouno'.s.,_ Cz.4 the._aforgue - c.trefflaknt., D12 the.ro/re.'.diameke..in. feer.'.Lond 4P_JsJ)e. fole/;1ressure deop ocrosr._z9e xsfre hrg.rn A p = (h + v;

  • 1 -- (_pg M * \\

\\ 19 / \\ if) 1 gn ,,,,,,,,,,,,,,,,,,c,,,,,,;,,,,,,,;,,.,,,,,,7;,. g s I f a t i o /c 4 e v ML A M To O E \\ e 4W y e 3 k i g. g g. 4 =lC - k \\ k f .g h, k- ' \\ \\ I .g i 6 .g I g, Q -fc' g. I i O.2, 'O ~ .k O i c~c e s, do g g g 4 e Di3c.Gngle (* cj=en) g ~ "~

Test 28 40 PSI O

  • Open P

P AP T D T 90 18.0 11.0 7.0 -23.1 -26.4 not recorded 80 17.5 13.0 4.5 -14.4 -25.7 70 20.0 10.0 10.0 1.7 1.3 60 34.0 7.0 27.0 6.2 1.8 50 35.5 4.0 31.5 4.1 1.0 40 37.5 2.5 35.0 0 'O 30 3P.0 1.0 37.0 -2.5 -0.5 20 39.0 0 39.0 -6.4 -1.3 10 39.0 0 39.0 -8.3 -1.7 0 39.0 0 39.0 -8.3 -1.7 / Test 28 50 PSI O 90 26 15 11 -26.8 -19.5 80 24 17.5 6.5 -10.3 -12.7 70 40 12.5 27.5 8.3 2.4 60 42 8 34 6.2 1.5 50 45 5 40 2.8 .6 40 46.5 2.5 44 -1.6 .3 30 47.5 1.5 '46.0 -4.1 .7 20 47.5 1 46.5 -8.3 -1.4 l 10 47 1 46 -8.9 -1.5 0 47 1 46 -11.3 -2.0 6/9226

i C' 37 Cat 44 Daft J klf. h C60 [d3Y3 _ N ks We $/fflcy_fdded/%"l1_DMWf NOVe $.Ne 14?73 yagy l og } d suaxr mu .a A///kCho/mer.1 4 "stixonssea/. BwMerf/y_ Vs/re. jstode/.. -.... g g .. _ A.. & ENGINEERING CALCULATION SHEET 237 /VO. $Y 1 l atus.oiau.a es poe artu Va/ve. dis <.- thicMaess.fa o'sorawr rotio L.U / . ZaffloLeparecon* perswm bO!"flG Va/re.orienfation.tyL.Bruite /0 Torype_eguof/on_ond soeffic'ent ~ 7d

  • Cr
  • n' " 4P

- WAen Zd /.s.fhe:dynema_:befue in.fcot pouno'.s-nCr..is Me forrer caeffIanenL, Dis..tke yo/re d/ameNeJn.feef ond 4P /s.i/*e iersipressure deop acea.r.r)e_rs.4e hrysn. AP='fE +M*)- ffd f) \\ 19 ) ( zs g e,,....,,,,,,,;,,,,,,,,,,,,,,,,;,,,,,,,i,7-., G:: l 6 ,i a ic e i 9,1. e f s 26. i i C V l l n 2 l ]bt b Og -IC 0 49 1-i ,1- ' I ? 1 e t-4-zc i \\ f \\ 4 I \\ i g. 4 l Y \\ {. 's ,y-Ib a I U .e ci'~ ib ao 60 do so -do g ec 4 ~~' 0/3C SMC!G (* cpen) ~~ ! D

Test 28 60 PSI

  • Open P

P AP T "P y 2 D T 90 25.0 17.5 7.5 -28.3 -30.8 not recorded 80 25.0 20.0 5.0 -15.5 -24.8 70 35.0 15.0 20.0 11.3 4.5 60 46.0 11.0 35.0 7.2 1.7 50 50.0 6.0 44.0 3.7 0.7 40 51.0 2.5 48.5 -0.6 ,-0.1 30 52.0 1.0 .51.0 -4.5 -0.7 20 52.0 0 52.0 -9.1 -1.4 10 52.0 0 52.0 -9.3 -1.4 0 52.0 0 52.0 -12.4 -1.9 i i l l 1 i i i e i h .q .. s. l 6 I 6/9207 i

cuire-en na's . k /f_' f lC W fd's Y$ _ N k.$ k dnfldy YA0WeCYS DM NoV* l

  • l ??i
  • f OF SNtE1 SUSJECT Peats.

pio ag A//is.4~):a/mer.s_S.".Streamsea/ Bun'erf/y Vs/r: Mode / s (g+. ~ c.am.,t... g u,...,....... ENGINEERING CALCULATION SHEET . 72=s t /Vo._2 9 / 'l ALLIS.CMaust es P0eas ml.t ._ Valve disc.firicMness fa a'/omoter.rst/o.:. l7 . Za>Mo/.vpatream pressure.:. _/5/S/C_.__Va/re oriesfo/ ion tv/; F/9ute Torper.equeNon ond..coao fichnf..: 7~t ". Cr EDJ x 4P e _.. W/rere 7"f. /.s the. dynamic _forpee_in.fwt. pouno!.s, Cy. As the forpee_ coeff/cArnt.,. Di.s the vo/re, diameter in.feef_assd AP /s./ke. r tofol. pressure. drop acros.r fde vs/reh psY., AP_* A.?V* Ea t_V.6*)\\ S 23 , c-1 l l I. I e lx ~ ~ \\ \\V u wt l t 20 g .3% I k 4 t 8 4 4 to i 4 af _ l. t I X { k x i

  1. i i

X t i 1 X.- E a l i \\ Q t 1 - g - /0 .ih t + M h

  • N h

_fo o to zo ao 4o so so 7o so go Disc Ang/e (*opert) .e

evne.. oan A/r F/ow 7e~ cts...NRSM/Longley fe.searcJr Center _.- Nov. / Dec,1979. s,,w j,, d' .vum m u.. ,ma. p' A//u Cho/mer.s.4.".3treamseo/ Bunerf/y Vs/re Moo'e/ Q osawi o au-nas CALCULAMo U g ur. i U.S. A.e aeC ENGINEERING CALCULATION SHEET 7~e.st /Vo. A9 Attl$.CMalmt 81 80fM 4718 8 _. Valve d'uc. thickness fa.o/'onrater rstto.L.17 ~ Inl/Jo/.epstream pressure.L.o90AT/C... Va/re orienfofion ster: F/puter _ Torpue eguoflon.:on o'. coaffic.Arnf :. N_=. Cr.ED_? x. AP wAere Ta' /.s /Je.os' nomic forgue./n.fwt. pouno's, Cr..u the. terroe-.. coeff/akrnf.,..Di.s the :ys/re: d/amefer_fn feef_.ossd-.4R /.s_fhe _fofs/_ pressure o' rop acro.s.r fde vs/re_s:er.:ps~n. _P.z2_V./ A P-

  • A t Vi 29 zy i r

.ir i 1 t . D 9 {U s vt D I o 1 % l $ li t.x go

  1. x

/ l / ! \\ I \\ / \\ 4 %f \\- f I \\ / i 's J 6 1 6 g / 6 \\ i l t! i A c ~' i 1, g \\ f \\ \\ a O I \\ %.jp M g i g i + 4 l l u A 4 q i %d .gg a to 20 30 hio SO 60 70 80 90 Di:t. Ang/e (*open).

i e r Test 29 P = 15 PSI O T [ i t

  • 0 pen P

P AP T ""E D T I 90 5.0 2.5 2.5 0.2 0.6 6.4 i 80 5.0 2.5 2.5 1.6 5.1 6.4 f i 70 7.0 2.0 5.0 3.9 6.2 7.8 i i 60 9.0 1.5 7.5 3.1 3.3 9.8 l 50 10.5 1.0 9.5 1.2 1.0 11.8 [ i 4 40 12.0 0.5 11.5 -0.8 -0.6 11.8 l 30 12.0 0 12.0 -1.6 -1.1 12.5 20 12.0 0 12.0 -2.0 -1.3 13.2 i 10 12.5 0 12.5 -2.8 -1.8 13.8 0 12.5 0 12.5 -3.1 -2.0 13.8 Test 29 20 PSI L 90 7 3.0 4.0 -5.0 -10.0 2.4 80 9 3.0 6.0 -3.0 -4.0 3.7 l 70 10 3.0 7.0 8.0 9.2 5.1 1 60 14 2.5 11.5 6.0 4.2 8.4 l 50 17 2.0 15.0 2.0 1.1 11.1 i 40 18 1.0 17.0 -5.0 -2.4 11.8 r i 30 18 0.5 17.5 -6.0 -2.7 13.2 20 19 0 19.0 -8.0 -3.4 13.8 10 19 0 19.0 -10.0 -4.2 15.2 0 19 0 19.0 -13.0 -5.5 15.2 I 6/4011 l

CutToastt Dart /7/r F/ow 7e".sts._ NASM/Lorrg/ey Reseorr.)r Center.. Nov. / Drc.1979_,,,,,, f,, f zumcf nm.. p /7//4s Che/mers. 4."~57 team. sea /. Bw/erf/y Mr/se Moo'e/ h ce*=ao au-un cateuwso o g u r. v... ENGINEERING CALCULATION SHEET 75'37 /VO. 29 ALLIS OeAlanEIS PCeas 673S. _.Vo/ve ahe.thicMnes.s /o a% mater.rst/o :../7 _ _ _ =.. . Zai//o/ ppstreem pressure : E0 f.T/C.. Vo/re.orienfo/jon ret;. Fryure -. Toryue _eyaof/on on a'. eosff'ic.knf.. :. D..=. Cr.ED.' x 4P W/rcre R /s /be?oy' namie forgue./n.fcot pouno!.s.,_ Cr As the_.forfee_ Coefflearnt, Di.* the vo/re a%meterin feef-orro.'.4P./s.fh# tor'c/.: pressure..o' rop aeross FAe rs4e.u'erlps~r.. A P_.= A t vi - _E5.tg. 29 29 \\ ,...i 4 t r e c e i i 50 .m ) i 2, i e \\ - l$ i j ~ \\b 1 I e i ,D i l n x m i i y i l i t I \\ i b e \\ s f x' i \\T4 k.fo Y 8 i g i i k i o [ .D iN 4 i -zo o Io 20 30 huo SO oo 70 80 90 D/3C../?ng/e (*0, pest)

cuivo.a. care h//* f/oW fe3t3._.NA$k b Offfldy ke3ed/ CYP $eMYWf.. NOVe l Ne /979 - opl suggg iviact ruu. p, A//h C/re/mer.s 4 ".577eomsea/ Bufferf/y Mr/ou-Moo'e/. Q, o.a-i o au-un caicutario u g u v=. in u... ....e ENGINEERING CALCULATION SHEET k.s? /VO. $9 ALLIS.CeAlmill PCem 4713.0 6/ve.dhe tlric// ness /a a'iometer_rst/o.:. l? . Iniflo/.upstrese p.neswee.:. '/0f.S/G.. _W/re or/en/ofion. ret l.F/gure. 9 Targue eruot/on.ond cosr fichnf. : 7d' ' Cr.E.O.'= 4P e where Td../.s f}e dynamic forgue.irr.fcat.pouno'.s., _Cr. 4 the 7'orgue_. coeff/cArnf.., O/.s.the.vo/ue d/aareter_hr.feef_ anef 4P. /.s.ffue 1'o r's/.preswre. deop. acro.a.s /4e. vs4enips r.. _& + V.6.* AP =. A + Vi _'S .23

i..

1 - I I m t l' i i D wt 2. i% !l i l

  • fo t

-l i l D( l t 0 o .= = 4 x h I i N d o %. jg i g I I i g l l i -20. O 10 20 30 40 SO 60 70 80 90 Disc Any/e (*open) I

Test 29 30 PUIG t

  • Open P

P AP T ""E D T 90 12 7 5 -5.9 -9.44 3.7 80 18 7 11 -3.15 -2.3 5.1 70 20 7 13 0 0 7.8 60 22.5 5 17.5 0 0 9.1 50 25 2.5 22.5 -1.57 .558 11.8 40 27.5 1.5 26 -3.93 -1.2 13.8 30 28 0 28 -3.93 -1.12 16.5 s 20 29 0 29 -3.93 -1.08 18.5 s 10 30 0 30 -5.9 -1.57 18.5 0 30 0 30 -7.87 -1.57 18.5 f'~S Test 29 40 PSIG I \\,) 90 20 10 10 -7.86 -6.29 9.8 80 20 10 10 -4.68 -3.74 10.5 70 25 10 15 -3.74 -1.99 11.8 60 30 7 5 22.5 -1.87 .66 17.2 50 35 30 -3.92 -1.05 20.6 f-40 37.5 2.5 35+ -5.97 -1.36 22.6 30 38 0 38 -4.68 .985 23.9 20 39 0 39 -5.61 -1.15 24.6 10 39.5 0 39.5 -5.s? -1.21 25.3 0 40 0 40 -7.86 -1.56 25.3 l l 'j')l \\,.,, l 6/0423

CTSTouta Dart . Alt. F/ow Tests. NRSM/Long/ey fasearch Center.. Nov. / Dar.1979_,,,,,, 3 a, g 84J64tCT Pttuu. pinas A//h.- Chalmer.s.4 ".3rreamsco/ BuMerf/y Va/w Moo'e/ o.aw ao au. es catcutarioir g ur. in u. ...e ENGINEERING CALCULATION SHEET R.s7 No. _ A9 ALLIS CI4LME ts Poem Mi$.8 Value. duc.thicMness /o.diometer rstto.:.. l7 . Zai//s/. upstream pressure.: 50/S/G Va/re ortentofion.svt: figure 9 . Tartue.eyaotion.on d. comfrichnf. :. 7d" Cr EDJ x 4P._-. = ... schere Td. /.s /Le dynomic rbeper./n.focut ~pouno'.s,_ Cr. As Me forper_ coefflaient.,..Di.s. He.rs/se a'iomokr.4 feef-.asuf 4A' is.f/'e . fofolpressure drop aeros.t._/de.rs/re.:4.l pay. A P

  • P3 + M*

.22_ +_.V.L* .zy 29 I _-. _ l J m i ) vt i i 2a I i 5 k . i k ## l-i + i 4 I t k D. I -7 f'A i i x, k% I. 1, x t \\y.- i L o V s _,, 1 n \\ g 4 l u 4 n U -zo 20 30 4'o SO 60 70 80 90 O 10 _ Disc. Rng/e (*open)

I Customsa Daft Air f/ow 7e'.sts._ NASM/Longley fesearch Center.. Nov. / Dnr.197.9 ,,,,, f a, g

344JtC, P.iilm.

91 A4 . A//Ls _Cho/mers 4 "..Streamsea/ Evnerf/y Valre Afode/. v caicuiario., g g u r oo.. o... ENGINEERING CALCULATION SHEET R.st No. 2 9 ALLIS-OsALat.1 PC.m 4FtS I e Va/ve..dise.fhicMness /o diameter rotto :.. /7 Zaifia/. upstream pressure.:. bO/ f/G _ _ Va' /re oriento ' ion nn Fiyare V Torfue eyuofton,ond.:eosffic.4.nf : 7d =..Cr_E.O.'x AP ~ . w/rere ]"/. /.s f)e. dynamic forgue inkt pound.s, Cr. 4s fae. forpee_ . coeff/cknf.,..Di.s the.vo/res dianrekr. in feef_ ono! 4P i.s.fhe fofo/_ pre.ssure.. drop acro.s.r fde_ vche_sWp.s /;. AP =".A_t.JL? _Pa_tg 29 29 e t f i 3 6 .4 e e 6 i 30 ~ i V b wi f 2, Iy 0 f f f f 4 f { -Q jo t ~~ -Q i i I 4 l k 4 l 1 l 4 i g + i i k h i O I l 6 t i A I f 6 Nj b i r w o l %. jg g i e i h 6 i = t (w' n u i xJ q i -jo. o 10 20 30 4'O SO M 7o 80 90 Disc. Ang/e (* ope.O

r s Test 29 50 PSIG

  • Open P

P AP T

    • P y

2 D T l 90 25 15 10 -8.88 -7.10 15.8 l 80 25 15 10 -5.14 -4.11 17.2 70 32.5 15 17.5 -2.81 -1.tJ 20.6 f 60 37.5 10 27.5 -2.25 .65 25.3 50 42.5 7.5 35 -5.14 -1.17 28.6 i 40 45 2.5 42.5 -7.86 -1.48 30.7 30 46 2 44 -7.48 -1,36 32.8 i i 20 47.5 1 46.5 -7.86 -1.35 33.3 i 10 48 1 47 -7.48 -1.27 34.0 t 0 49 0 49 -10.61 -1.73 34.7 1 O Test 29 60 PSIG 90 30 15.5 14.5 7.87 -4.34 28.0 I 80 32.5 15.5 17 5.15 -2,42 28.6 70 40 15.5 24.5 3.93 -1.28 32.0 60 47.5 13.5 34 3.93 .93 34.7 50 52 10 42 6.56 -1.25 40.1 40 55 5 50 9.82 -1.57 42.8 I 30 57 2.5 '54.5 9.82 -1.44 44.1 f 20 58 2.5 55.5 9.82 -1.42 44.8 f 10 59 2 57 8.42 -1.18 45.5 0 60 0 60 11.79 -1.57 45.5 l 1 l l 6/6735

emo.a o4n A/r.F/ow 7e"sts. NASM/Longley fesearcJr Center.- Nov. / Dec. /979-~ wen / a, f $UMCT PtG 4.. PtNat p( \\ R///:s 4~holmers 4 "~5trenmsea/ Bufferf/y Vs/w Moo'e/ C/ o... au-a. mcut nou j u v.,,,........ ENGINEERING CALCULATION SHEET MT /VO. N V anus.oisu n m.. a,s., 0/ve di.sc.thicMness to d/smater..rst/o.:.. /7 In/Mo/. upstream pressure _:. / FPS /G h/re. orienfofion twC. Figure ll Tortue eyve?/on :ono' coefrie./.nf :. 7d 'L Cr E O! x AP ~ w/rere 7d-./s fJr oy' namic.forgue./n.fd. pouno'.s,_ Cy is the forpee .CoefflaL=nt.,.Di.s the.rs/re dienrekt. in feet __ asra_ sp /s the. t Yo fol-pressure _ dr op_ acro.es the_ ys/re_ sh :p.s r, : A _+,VR AP =..Es t Vi 29 29 ) l l e m 30 l' (1 / %.J ,/ 9 a l / ~ 20 i _J e l r,/ ! i a q t/ i t '/ k / r i / ' 10 / i t / i 2: 1 i f1-I / 1 !/ d k f D i t._ 0 '~ t w/- d 2 i l g u D' g .m.. - - \\. fo i 4 -t i = a 7, u k.% ( \\ k i -zo. O 10 20 30 40 SO 40 70 go go Disc Ang/e (*open)

Cutfomst 0.ft R/r. Flow Tests._ NASA /Longley fe.searcJr. Center. Nov. /Dec.1979 Suoier ,,,,,, ;,, g ( A//is cholmer.s.4 ".3rreamsea/ BuHerf/y Vshm-Moo'e/ mu.. ~....,, ENGINEERING CALCULATION SHEET-k.s7 Afo. yO ALLIS.CeAtmill Poem 471S.8 _ Valva di.sc thicMness to o'ometer rcVo.:.. / 7 i -. Zalflo/.ppstream pressort- :. o10fS/5_._ _ Va/re orien/ofica ret. F/yurar Ii _ Torgue eyuof/on.ono' coefficarnt :. 73' ?. Cr E.O!" AP tuAere Ef_ /.s fJei sy' namic.forpee.in.fcot pouno'.s,_.Cr. As the forfor coefflai.nf,..Di.s the.vo/ro. o'iomekr. hr feef_ ano'_.dP /.s.//re l fofe/. pressure o' rop _ acro.es fde_ rs4eaholp.s r. - [ A_+_ Vg*)\\ { AP = 2/ + Vi ~ Y 'S 29 r 6 ? I. 6 *i gs t i k ~ 1% A! IN /\\ l I 't l\\l~ e j A 7 I NI l I 30 l\\ l O I l 1 \\) h t it 1 sj t 1 \\1 i D /\\f i A 'Y lM l 8 e /\\ N 20 3 A \\/ \\ 1 %i /\\ Y-M A ^J h 'l NA R /\\ 79 /\\ Y i A N/, 'I g /iA/ I / \\1 / e i N f -} Qa A v A v i x v. t ( V i /Y 6 i as l t s i k i ? A I-3 i g 2 s l 4, t I h h* a y + 0 \\. /0 j y { l =k O .4 'O 4 20 O 10 20 30 4'o SO 60 70 80 90 _ Disc Ang/e (*eperr)

f f Test 30 AP = 15 PSI Ty 'Open P P AP T C Temo *F 1 2 D T l 90 4 2 2 7.9 31.6 5.1 l I 80 5 2 3 8.7 23.2 5.1 i, 70 6 1 5 '0.2 16.3 6.4 60 9 1 8 7.9 7.9 8.4 50 10 1 9 4.7 24.2 10.5 i h 40 11 0 11 1.6 1.2 11.8 1 30 12 0 12 -1.6 -1.1 12.5 ,L i 20 12 0 12 -2.0 -1.3 13.2 { 10 12 0 12 -3.5 -2.3 13.8 0 12 0 12 -3.5 -2.3 13.8 t Test 30 20 PSI !l 90 7 5 2 11.8 47.2 3.7 .t 1 80 11 3 8 16.5 16.5 3.7 I 70 12 3 9 15.3 13.6 5.1 1 1 60 15 2 13 9.4 5.8 8.4 50 17 1 16 5.5 2.8 11.8 40 18 0 18 1.6 0.7 12.5 t 30 19 0 19 -2.0 -0.8 13.2 20 19 0 19 -3.5 -1.5 13.8 ) 10 19 .0 19 -3.9 -1.6 13.8 0 19 0 19 -3.9 -1.6 13.8 'O 6/3932

cuix..

    • T

.R/r Flow Tests _ NASM/Longley fe.secre)r Center Nov. / Dec.1979 -,,,u, j a, f $WSJ4CT P9f. LIM. Pt AL ( A///s _Cha/mer.s_4."_3rreamsea/ Butterf/y Vs/n. Moa' /. e s o.a..r au us u r . u. ...e catcutano ng ENGINEERING CALCULATION SHEET R$7/VO. SO ALLl$.CM Almit$ Potas 4713 8 _ Valve di.sc. thickness fa.o'ometer. rot /O.:..,/? i . Zaif/a/. upstream pressure : SWS/G Va/ve orienfafion ter;. /~/gure. ll . Targue..eguaf/on ond. coeffic.4rnf :. 7d =-.Cr.E.O.'x AP_ ~ . to/rere. 72. /s fje,./ynamk forgue /n foot. pouno'.s, Cr. As the forfor_ coeff/c.arnt,..D/.s the. vo/re: diameter in feef_ana_' 42./.s the fal4/)::Fressvre d' sop. detoss fde Vd re /trlfSM / .hLt }fd) AP ='. Es- + Vi -~ 29 23 i i e i i i 1 i t. I b i- -l l so (") / \\, j I ~-- 1s '! 9 t 1E }i / 20 q / !q r f /- 3 / l ! 4 ^ i /! 10 e / i i / l 1 - / e p -w f s s. ok K \\,) i -/i i a 1 j-o k i 4 O - /0 y* g i i k 4 (mv) 4,, 0 10 20 30 40 SO duo 70 80 90 A/3C Ang/d (*CPe./N ~ 4 e e e e me e.m 4e ee. -.e.

custo... aan - A/r flow 7e~ sts_ NASA /Long/ay fo. search Center. Nov. t Dn. /97.9.,,,,,,, 2),, f SU. JECT Pe t Lam. plwag (V) A//is Che/mer.s.4.". Streamsea/.Bwlerf/y Va/w. Moo'e/.

c. c m n.. g m.o...

ENGINEERING CALCULATION SHEET kst. /VO. _ 30 ALLIS.OIAustIS PCRM offs.t Valve..dise thicMness /o o'iometer_rst/o.:.. / 7 .. Zaifia/.epstream pre.ssure.:. _ 40 fs/G .___yafye _o,/ esp,yjo,_,ey;_ pigum f/ - Torpw.eyuot/on ond. coeffic.hsst.:. 7d =.CrM! x AP ~ . Wirere. 7d /.s fAe. dynamic _rbepw.in.fxt_ pouno'.s.,. Cr.is the. foryue Coef.f/cienf, Di.s. the :ys/re d/amefer in_ feet _as,xsp_ j.s__yj,e ---l0/4lyressvre_ drop acro.s.r fde rs/re;hrip.sr.. AP

  • As 2J6 *

-' ~ f_E5.2h*- ~ JS

(

zg i l a a 30 1 f% i r -1 U. i i / y I nll / !4 / N t .,e l 20 n l%n 11 / i., f / l.. 10 .1 4 I i/- i f e /. / f / t A ' / e ( / p A e 0 V _V r i 4 I 4 l \\. fo S = 4 i ,O .4 v q -20 i o 10 20 .50 40 So dro 70 go go Dix Ang/e (*cpen) ..s

Test 30 30 PSI ' Open P P AP T Temp 'F 2 D T 90 12 8 4 18.9 37.8 5.1 l ' 80 14 6 8 23.6 23.6 7.1 70 18 6 12 19.7 13.1 9.8 60 22 5 17 11.8 5.6 13.2 50 25 3 22 6.3 2.3 16.5 40 27 2 25 1.6 0.5 18.4 30 28 0 28 -1.6 -0.5 19.2 20 29 0 29 -4.7 -1.3 19.9 10 29 0 29 -7.1 -2.0 20.6 0 29 0 29 -7.9 -2.2 20.6 O Test 30 40 PSI 90 18 12 6 24.4 32.5 15.8 80 21 10 11 29.1 21.2 17.2 70 26 8 13 22.0 9.8 19.9 60 30 7 23 13.4 4.7 23.9 50 35 4 31 7.1 1.8 26.6 40 36 2 34 2.0 0.5 28.6 30 38 0 38 -2.4 -0.5 30.0 20 39 0 39 -7.1 -1.5 30.7 10 39 0 39 -9.4 -1.9 31.3 0 39 0 39 -9.8 -2.0 31.3 C 6/4010

cusro.as .nic rion rests._.msn/zangi y se.,eaa center..,j n. im. m, oars ,,,, f,, g suuict mt> =. . 46 /% R//is C/ro/mer.s_4_" Streonr. sea / Bv/ferf/y ks' he.. Afode/ ( ) v ....u.. c.<cumio., y u r o... ENGINEERING CALCULATION SHEET 7e.s7 No..SD Attil-CM.Luf ts PCRM 4713 9 _ Va/ve. disc.t/ricMnass fa d/ometer.rst/o.:.. l'I _ Iniflo/.ppstrese pressure :. 50)#S/ G..__Va/re. orksfofion ret;. Fsyure ll . Toryve egust/on,ano'. coefficLnf_: 7d_=_ Cr !CDf x 4P .-... w/rere.23(../s the: dynamte forgue./n./ Eat pouno'.s.,_.cr. i:s the. forgue. . comff/cArnf.,. Dis.the.svolve d/ameArr in feet _.ano' AP /s fl'e .fofclpressure_ drop acro.s.r fde_vo/renQ.s~r.. AP = A t Vi * \\ ~ _22_2.g_ ~ 19 / 23 i. i t t i de I i I l l / O 4 l v i b i l VI i / l Y I' \\ ~ <l n Q {% N -n / ly f / . q 8 / i { / 6 / / 4 I / i ' 10 tr /! f> s / 1 / 6 _/L-i I ( 1 e i i i A-e e g v j 2 i l 4 l l o l s _,, n 4 i i I 0 N v 9 -zo. O 10 20 30 4'O SO 60 70 80 90 _ Dix Ang/e (*cpen)

CUSTOM 84 OAft Alt.F/ow Test.s NASM/Long/*y fasearcJr Center. Nov. / Dec.1979, ,,, f a, f SUGJtCT 780LIA PIMAL A//Ls _Cho/nrers.4 ~.3rrenneseo/ Bedferf/y Vs/st:- Moa'e/ ) .....p m,.......A.. ENGINEERING CALCULATION SHEET ks? A/0. 30 AtLIS.OIALM t t$ PCSM 4FIS.9 - Va/re disc. thickness to drometer.rstfo.:.. / '7 Zailla/ ppstresar.preswee.: $0/ S/G.- Va,5<e orien/ofia.s.svf _F/gurte ll 0 Torfee eruot/onaan d. coafric&n/_ : _7d ". Cr.ED!x 4P ~ to/rere ]~-./s fbe. dynamic 1br9uw_in.f:vt_ pouxd.s., _Cr..t:s the. 7'orpre_ d coef.f/ca.nf., Di.s_the :yo/ue e/ionrefer_ in feet _as,d_ AP is_ffre 1'ofs/ presure drop acros.r 1%e ya/re.u:orip.sr., A P =_.Pa_+ Vi

  • h -

Pa. _Vfz*_ AS / 2f i..., I t I e 9 9 ( 30 ( _.f i J i s vi l' 2C / l' g / q i i / / 7 l I, / / y / / lQ l / 1 e Ii / / i 6 Jr. Q h / i W- - A g !V nL W t e I h k ) 3 i S O %.jg h = N s y k.)b .zo O 10 20 3o to'o 50 4*O 70 80 90 . Disc. Ang/e (*open)

()s Test 30 50 PSI

  • Open P

P SP T ""E D T 90 24 17 7 28.3 32.3 25.3 80 26 14 12 33.4 22.3 25.3 70 34 13 21 26.8 10.2 31.3 60 39 11 28 15.7 4.5 35.4 50 43 7 36

7. 9
  • 1. 8 38.7 40 45 3

42 2.4 0.5 40.1 30 46 1 45 -2.4 -0.4 41.4 20 47 0 47 -7.9 -1.3 42.1 10 47 0 47 -11.4 -1.9 42.1 1 0 47 0 47 -11.4 -1.9 42.8 Test 30 60 PSI 90 28 18 10 27.5 22.0 34.7 80 32 15 17 33.8 15.9 36.0 70 40 14 26 29.5 9.1 38.7 60 46 13 33 18.1 4.4 42.8 50 51 8 43 9.8 1.8 45.5 40 54 4 50 3.1 0.5 47.5 s 30 55 2 53 -3.1 -0.5 48.8 20 56 0 56 -7.9 -1.1 50.2 10 56 0 56 -11.8 -1.7 50.8 0 55 0 55 -11.8 -1.7 50.8 l D 6/1260

CUSTCage Daft Air flow 7e* sts. Nasa /Lang/ay fesearch. Center Nov. / Dec.1979.,,,, j,, g SuSJICI P99 LIM. PlM.L f} A//B Cho/mer.s.4 ".Streamsca/ Butlerf/y Vs/re Mode / (,,/ o..=~o au-.a c4Lcul.n o o g u m. u... ENGINEERING CALCULATION SHEET 7b.57 IVO. $ / ALLis.08 Alms ts Poem 47t5 0 ._._ Valve dhc thicMn.rss fa.d/ometer.rstio.:./7 Inifto/.epatream preswm.: l5PS/G. _Va/ve orenfo/ ion svt. Fryure l2-- Torpee.egustion.an d. coafficknf :. 7~t = Cr x._Df x AP where.]Tf is the. dynamic.forpue in.fcat. pound.s, Cr As the. forpse .CosffiaLenf., Di.s the vs/re diamefer.in feef_ano'_AP is.fke . fafa/ preswre drop.. acro.s.t fde vs/ra as:p.sr.. E2 t$ AP._." Ei..t V? ~ 29 29 I l l i I e 30 y~% ~N 1 \\ l ] %./ .s 1 c ic x ' 9 / \\ jk / __\\ n y a f /- it i f y l 4*0 / ! /- t q 1/ '/- P / / Q-I.k I Q,g / w e / e / L / f F ( / * / 4 JP i s. r ~ I g g i h l o = /0 n i k b I t 4 4 l i y Lm-) 4 .;g 1 0 10 20 3o 40 SO 60 70 80 90 Disc Ang/e (*open) I 4

CUSTOmit O'It R/r Flow 73 sts _.NRSA/Lang/cy fasearch. Center Nov. / Dec. /97.9,,,,,a j C, f f. suuier e eum. ,m.L A//is _cha/mers.4 ~ 3rreamsea/ Ev//erf/y Va/w Mode / 'v/ o w m o av.... I cant rio o jg urwo i

v..

...e ENGINEERING CALCULATION SHEET 13=st Aio. Al ALLIS-OeALas AS PC m 47tS.I l .__Mr/ve. disc tNexness.fo c'omater rat /o.:... l'/ i ...Ia'ific/.Vpstrede preseure : $0PS/C lla!re.orien/ofion.refl. f/yure. lb 707fue.nryuof/on on d conff/cArnf.. ' 7d .Cr !D.' x AP = . teNere Ta!../ss f}e aynamic 7brfue_/n fcot. pouno'.s,_.Cr.js the_forpee_ Coeff/csient., Di.s the ys/re: diameter _in. feet __ ane/_4P. /s._fke to fol.-pressure _ drop. acro s:s.the_ys/reu:rs..ps r.. AP *_.B_+ Vr

  • a.2 M * \\

l 'S 29 ) h ,I: 6 1 l t' t i I, I t I-i i l 'I y J I' p)g l l L l b f. 4 "I i l 1 i q $O 5 f i i /* ~g \\ / / t / i , ) i / 4/- i '! q '/ 1 t I-i - jo s s. /, / / 1 / i / f t / I / /* 4 ' V i i 0 \\ e-e i b o %. jg s l t = k C) .4 i O . 4 i .zo. 0 10 $0 3o 4o SO 60 70 80 90 Disc Ang/e (*open)

Test 31 PT = 20 PSI

  • Open P1
  • P2 AP T

C Temp 'F D 7 90 7 5 2 11.0 44.0 5.8 80 10 3 7 17.3 19.8 7.1 70 13 3 10 16.5 13.2 8.4 60 15 2 13 11.0 6.8 11.8 50 17 1 16 6.3 3.2 13.8 40 18 0 18 3.1 1.4 15.2 30 19 0 19 -1.6 -0.7 17.2 20 19 0 19 -3.9 -1.6 18.5 10 19 0 19 -4.7 -2.1 18.5 0 19 0 19 -5.9 -2.5 18.5 O Test 31 APm = 15 PSI 90 5 2 3 7.9 21.1 9.1 80 5 2 3 9.4 25.1 8.4 70 7 1 6 11.8 15.7 9.8 60 9 1 8 8.7 8.7 11.1 30 10 1 9 5.5 4.9 11.8 40 11 0 11 2.4 1.7 13.2 30 12 0 12 -0.8 -0.5 13.8 20 12 0 12 -2.4 -1.6 14.5 10 12 0 12 -3.1 -2.1 15.2 0 12 0 12 -3.5 -2.3 15.8 O 6/1143

CUSTOM 3a OATE A/r.F/ow Tests _ NASA /Lcagley fe. search Center _.. Nov./ &,i979-,n, j,,g Suu.cv m um. A//ss-Chalmer.s. 4 " Streamsea/ BuMerf/y Vs/w Mode / o.-i o va.u caicutaiso n gg u v.. v. ENGINEERING CALCULATION SHEET k.s7 /VO. S/ Attal.OeALh8 t$ PCtm 6715 4 .-.Kr/ve. disc thicMness to diameter rotto.:.. l? Iniflo/.spakesar pr-ssure.: $005/G.-. fo/re or/en/ofion. ret:. F/ um_ l2- __ rarra eruaw-n.and oo-reic.enf : 7< = cr r.& se seircre ]d" _i.s f}e dynams*c forpee in.fco?_ pound.s,_ Cy..is 7%e. forfoe._ .Coef.flairnf,.. Di.: the.rs/n diaarek,_in. feet _ ano'_. AP f.s. fire - fo!'d!-pressure drop. acro.r.t.1%e ro/re. he t.ps r.. ) P_2.2g*)\\ AP = 2, _ + Vi AS ): 23 i r., i 6 i j i e i t j 30 Om i y m. 20 /' j g A% t lis / ~l I l f I 1 / I 1

  • fo i

/i e /' I I / i i /= n E-I i -/ (

  1. 1 o

jr d m i e 4 = /0 -nh i t k (V 3 4il l -zo 0 10 20 30 40 SO 60 70 80 90 A/3C Artg/d (*Cpen) O G

cusicate cara feest3. NA$k bdnf dy kO3edrCb. &ntef.,,___. NQy,/ k,Jg7 ~ Sntti h C9 h klf F/oW / fs souacr nm.. V) A//4s _C)se/mer0.4.~.Streamsea/ Bur /erf/y Vahe.. Moo'e/ ( o... au-... m. u..... mcm.ito.gg ENGINEERING CALCULATION SHEET /es7 Alo. $/ AttlS.CeAlastts PCeas 471S.: m y 4 O q q m _..Zaillo/.epatrcom pressure.:. N0 PS/G. Va/ve orie:sfo/Joir. ret. F/gure - l2- _. Torfue.eswaf/on :on o' coafficknf.: 7x"_=. Cr_<D! = 4P where Td /.s /Je ay' namic..forgue./n fat _ pounds.,__Cr.j:s the.forpue_ coeffic:arnt.,.. Dis the..rs/re. diameter _ /n_ feet __ana_' Af t.s.fhe tofc/ pressure.. drop acro.s.s..tde rs/re in..psn.: 412* A ?Y* - ' E2.2 V ?. 1 - S 23 , r.,-.- r i i f I l 30 ) -1 i 1 (/ I b 9 i k /' r-T

  • LJ s. 2a

-0 % I i 9 / i a f. i i1-i eI t y / i k-

  • jg

/~ r f / t /- / s sE o 6 / i (

  • '/

4 / I p g Y a l ' ~ V i i e i I e I s et 0 %. jo ~' n g i t i k ,J j a ~ ' ' s - 20 o 10 20 30 40 SO 60 70 80 go 0/3C. Ang/e (* Ope /7) QA C '3' D

Test 31 AP = 40 PSI Ty l

  • Open P i P

AP T 2 D C Temp *F T 90 19 12 7 19.7 22.5 16.5 80 21 11 10 29.5 23.6 18.5 70 29 10 19 26.8 11.3 21.9 60 32 7 25 16.5 5.3 25.3 50 35 4 31 8.7 2.2 28.6 40 37 2 35 3.1 0.7 31.3 30 39 0 39 -2.4 -0.5 32.7 20 40 0 40 -6.3 -1.3 33.3 10 40 0 40 -9.8 -2.0 33.3 l 0 40 0 40 -9.8 -2.0 33.3 O Test 31 AP = 30 PSI. Tt 90 13 8 5 15.3 24.5 9.8 80 15 6 9 15.3 24.5 9.8 70 20 6 14 20.5 11.7 13.8 60 24 5 19 13.4 5.6 17.2 50 26 3 23 7.9 2.7 18.5 s 40 28 2 26 2.4 0.7 21.2 30 29 0 29 -3.1 -0.9 22.6 l 20 29 0 29 -5.5 -1.5 23.9 10 29 0 29 -5.9 -1.6 25.3 l 0 29 0 29 -7.9 -2.2 25.3 l \\ 6/1122 _-_____---._x--

cuo.n un /7/r Flo<a Tests _ NASR/Long/cy fe. search Cente.~. Nov. / Dne.1979 -,, g e, g suem f~~\\ A//h.che/mer.s.4 ~_,$rreamsea/.Better//y Va/re Moo'e/. ,.. u. ....t b/ os. iao au=.. cAtcutaiso., g j u r. in u... ENGINEERING CALCULATION SHEET k.st No._3) ALLIS-OeAlm a 21 P00m 67:5.i _M'/ve..duc.fhicHnes.s fo a'iomater rat /o.:.. /7 Zailto/ vpstream pmssure_: 50h/C L/a/re orien/ofto.s ret: F/yere l2-- 7 argue..eruotton.an d coefficknf..: 77c. =_.Cr_xD? "AP . where.7d"../.s /Ae dynamic forpue /n. foot. pouno'.s, Cr. As the.forpse-CoeffleArnt.,..Di.s.the ys/ue, diameter _.ise_ feet _ana' M /.s f_he fofs/_ pressure. drop acro.rr tde_vs/re_s'eripsr.. AP " A_+ V* E2 2h* 29 23 g e k t l k. I l ~ 30 a a f )\\ l 5 -I h / 9 / h / y a /- 20 c n I \\ i f l M I I ! k i R / / Iu k' ,,. to s i t /1 I /' t / i 1 / 3 ,f F -/ s a ( i ~ g i s l l 4 l i S t t 3 i 9 i ) ? g 6 1 l (3 ^ .I I U' 9, l O 10 20 30 4o SO be 70 80 90 Di.sc. Ang/e (*ecen) __1 D

  • ~b

" M 9 1 M m e M e M L4L

CUlfomit can h/7 }"/Ofgr [d3Y3_ NA$k, !.dMfldy k$30AY. MYCL NQY, /&, /979;' sntti h 09 h IUtJECI PEG Lam. FINAL (~% A//h ~ Cho/mers.4 ~.Streamsea/.. Bufferf/y Va/w Moo'e/ \\ h x.,/

a. -i-o aumtat caicut no., g y u r o in v.m....

ENGINEERING CA!.CULATION SHEET 71=.st /Vo. S/ ALLIS.CMAlmIts Poem AFtS i -- Vc/ve dec.thic:/nass.fa dic;aeter rot /o.:, /7 -.Zaif/a/ epatrese pressure.:. d0PS/C Va/re orien/o/ ion.ruK F/gure l2-Torgue.eyaotton:ana6 coaff/c.4rnf :.. 7d = CrD' ? 4P ~ . to/rere.7d. /s fAe.oy' namic hrfue.in.fcot pouno'.s.ncy. 4 /Ae. 7'orpee coaff/al.nf.,.. Dis the yo/ ret diameter infeef as,er_ sp_.is _ fire fo?'d/ pressure. drop acros.r./de.ro/re.hraps r, A2

  • A t Vi A.2h*_

29 29 l ?- .30 lm f \\ ( / \\J 12 ~ w l a .i = k L -7 Y i f i , 10 / n-f P s k I l _. g ur i i I ( g jV r s I I l Y l n + %. jo i = 4 'n. .4. i i -zo. 0 10 20 30 40 SO 60 70 80 90 Disc Ang/e (*cpen) m o lD' D'q k ~' " M m n ? A..n[,

Test 31 AP = 60 PSI T1

  • Open P

P2 AP T 1 D CT Temp *F 90 31 17 14 21.6 12.3 38.1 80 37 17 20 33.4 13.4 38.7 70 41 16 25 31.5 10.1 40.1 60 47 12 35 21.6 4.9 44.1 50 51 8 43 13.8 2;6 47.5 40 55 4 51 4.7 0.7 50.2 30 56 2 54 -2.0 -0.3 51.5 20 57 0 57 -7.9 -1.1 52.2 10 57 0 57 -11.8 -1.7 52.2 0 57 0 57 -11.8 -1.7 52.2 O Test 31 APT = 50 PSI y I 90 24 17 7 23.6 27.0 29.3 80 27 14 13 33.4 20.6 30.0 70 34 13 21 29.5 11.2 34.0 60 40 10 30 18.9 5.0 38.7 50 44 6 38 11.0 2.3 40.7 40 45 3 42 3.9 0.7 42.1 30 47 1 46 -2.4 -0.4 44.8 20 48 0 48 -7.9. -1.3 45.5 j 10 48 0 48 -11.8 -2.0 45.5 0 48 0 48 -11.8 -2.0 45.5 l ) 6/9918 O

cwo.m aan /7;r flow 7e~ sts. AfRSA/Longley fesearcJr Center. Nov. / Dec. /979 ,,,,,, ) e, f SW.ACT

Petum, psesat A//4s-C/re/mer.s 4 " $rream. sea / Bur' erf/y D' /se. Noae' /..

/ a v m.......... --.... g ENGINEERING CALCULATION SHEET 7h".st A/o. 5 2 v ALLt1.CMausa t$ POfA4 47I$.I Yo/ve.. disc.firicMness /o.diometer.rotto.:_. / 7 . Zv/Mo/ &p,strec.w preswre.: Ifs *S/ 0-. _ Vo/re orien/ofion ref:.Fiyure l0 7~orfue evueNon an a6 coeffic.irnf..:. 7d'.*- Cr."D! x 4P tubere Id /.s f}e dynamic.forgue.in fxt_ pound.s.,_.Cy../:s the. forype_ ~ Coefflok nf.,_.0/.r. the.,ys/re dienrefer in_ feef__anLsi I.s_ffre o fofo/ pre.ssure. drop acro.s.r /de rs/rea:er.p.s r; _ AP

  • Ps _ + vi

- _ P_2. + g _ 19 2.7 l I i i t I i i 30 r I(/ b w !i ~ i 2o . o I s l t = U l l .h 'O i l l Q i 4 \\ .7 t \\ 7 \\ i ( / \\ 1 i \\ \\ o e u 1 v. \\ e l i\\ 4 i , \\ i \\ l \\ l i t \\ \\ qg I .\\ .,o i n i ) i t i - 4 u 49 I ~ - U i .zo O 10 20 .30 40 SO 4>0 70 80 90 _Di,sc Ang/e (*cpen) mw m' T ] ~ ~3,, L

cuivo.u oAri ) nir riow rests...ersahang/-y se.,earc>r center. N ov. m,c. i m ,,,,y,g suu.cr mu.. ,,ao A//h _Che/mer.s 4 ".Strennrsea/ Butterf/y. Vshe-Afode/ \\ ). oe* mao au-.u i u rwo i= u... ...e cucutino o g ENGINEERING CALCULATION SHEET 7 e.s 7 / Vo. 0.2-ALLIS-OtALM,ts Poem 6713.. _6/ve duc thicMnass fa a'ionrater rstfo.:.. /? In/flo/.epatream pressure : 20 PSip___%/re.orien/ofion. ret:.F/gure_- l0 .-. Torree ereofton c.vo'.eaefrichaf :. 7d' Crf_.Of x eP = _.--.. w/rere 7d' /s /Je dynamic. forgue in.yEvt. pouno!.s., Cr..s's the forgue_ coeff/al nf,..Di.s.the.yp/re.. d/carekr_in.feef ano' 42 /s.fhe fofe/ pressure. drop acro.es. fde_Vd4e.:s*rrip.Tr. l AP

  • A ? _ Vi

- ' A t_k'l \\ l 29 29 l ~ e t f i 4 l ~ 30 l 9 t .4 t i v n vi

.u

-J% 'k l t s ' to u j ..,t u =m .D, [d j '\\ i + > s I F b-i \\ s x-t \\ l \\ 4 g i \\ 6 L T f \\ g \\ g i X - /0 \\a M = 4 l u a t. 1 o 10 20 3o .40 So - 60 70 go go ~ l Di3C. Angle (*cpen) __ I mom - m-o- s u g 4

1 \\ t Test 32 P = 20 PSI T l 1 1 \\ t

  • Open P
  • P AP T

C T**P 1 2 D T j 90 7 3 4 -5.9 -11.8 58.9 l 80 B 3 5 -3.1 -5.0 58.9 i l 70 11 3 8 3.9 3.9 56.2 60 14 3 11 4.7 3.4 52.9 50 17 2 15 2.0 1.1 50.8 i 40 18 1 17 -0.8 -0.4 49.5 30 18 1 17 -1.2 -0.6 48.8 I 20 19 0 19 -1.6 -0.7 47.5 I, r 10 19 0 19 -3.1 -1.3 46.1 0 19 0 19 -3.9 -1,6 45.5 ? !t Test 32 P = 15 PSI i Ty I 90 5 3 2 -2.4 -9.6 56.2 80 5 2 3 0 0 56.2 r 70 7 2 5 4.7 7.5 55.6 I 60 8 2 6 3.9 5.2 52.9 i 50 10 1 9 2.4 2.1 52.2 l 40 12 'l 11 0.8 0.6 50.2 7 i 30 12 0 12 0 0 49.5 l 20 13 0 13 -1,6 -1.0 48.8 i i 10 13 0 13 -2.0 -1.2 48.8 i. 0 13 0 13 -3.1 -1.9 48.8 i l } 6/1931 i i c --..,.l.

CulTCadt Daft A/r flow 73'3f3_ NASA /LQMg/dy $23earc}f. Center. Noy, / Dec, j97.9 ~,,,,, j,, f g SWEstCT Pettse. FINAL ) A//ss _Che/mers 4 "Streamsen/ BuMerny Vshe Moae' /. v ot - o au itI e accutarIo o gg u r.. u... ...e ENGINEERING CALCULATION SHEET J e.57 A'O, bS ALLIS.CeAtmiIS PC88 4715 t j Valve..ohc.thicMness /o a'iometer. rot /o.:. sE__ .. Iniflo/_epstrecar pressum.:_.90 PSIG - Va/ve oriunfofion. ret F/gu e /0 Torgue esruef/on.an o'. co ffickenf :' 7d *-.Cr.E D] n AP toAere 7d /s /Je. opnamic forpee inkt. pouno'.s., Cr..t:r the. 7'oryve_- coeff' /csent,. Dis the vo/se. a'/earefer.in. feet _ona_'.4P /s fhe fofs/ pressure o' rop.across fde_vs/re.ukpsn : b?*\\. 4,,f VI ~~' j a t. h )\\ ^29 29 ~ ,r-l I ~' s 30 v i b 9 , s. 2, -- y !;3 ~ f10 t N Y r s o 6 i X ~ i i g \\ t I l 1 + 6 1 1 7-I W 4 y + I' 0 l % io 3,

  • \\

11, I ) n o t, / \\ q \\, O 10 20 30 'r'O SO ho 70 80 96 A/3C Ang/e (*Open) A Ag .O D 3~ 3 h M e A Xbb

CUsFOcata oArt A/r. Flow Tests NASA /Lcng/*y Aosearcj' Center. Nov. / Dec. /979 s nr y C, f suance m u.. r'% A//is t~he/mers 4.". 3freamsen/ Ber//erf/y Vshe Moo'e/ h otam o au-us catcuuno o g u rw In u... ...e ENGINEERING CALCULATION SHEET 7e.st No. .32 Attis.Oratus as Poem 471S.I Valve. disc.thicMness.fo oVometer. rot /o_:. / 7 Zaifia/.epsfresnr. pressure :. Ye/S/G.___Va/re orien/ofion ret _F/gure l$ . Torgue eguofton ae o'_ coeffic.Asnf :. 7d'..*- Cr.E O_' F AP sehere_7d../.s fje. dynamic. forpw_in.fcot pouno'.s., _ Cy.. As the.:forgue Coeff/ch'nf.,. D/.S. the, Vd/Ud: dioneefer_ in feet dnW-.4f /.1_flre to fol pressure _ drop _ acro.s.e.the_ vsbe_ns.ips r. _&_t_kk* AP =.B + Vi

29 29
  • 't 1 -.

__n l -j. - ] i e-1 ,i s ~ "T" e a i -- 1 i y i i O i v j ' 9 i i 20 l

o d\\

i $ 4 i 4 .i k'o i I i b l I ~ o l t _\\ l i i X 6 l t \\t i I i \\! e I y I 1 1 O' 1 i -/o e g I l \\. t k I i . t i \\: n) 4; 'V \\ i _ yg x O 10 20 30 No SO 60 70 80 s1b r \\ _ Disc Ang/e (*open) e

4...

o w .ee e***

^ - ^ ^'- * ~ Test 32 P = 40 PSIG ( T DA P P AP T C Temp *F T T D T 5 6 90 18 12 6 -15.7 -21 48.8 80 21 11 10 - 6.9 5.5 46.8 70 26 7 19 1.2 .51 45.5 60 33 5 28 2 .57 40.1 50 35 2 33 .8 .195 37.4 40 37 1 36 - 4.03 .9 34.7 30 38 0 38 - 2.8 .59 33.3 20 38 0 38 - 4.03 .85 32.7 10 38.5 0 38.5 - 4.8 -1.0 0 Test 32 P = 30 PSIG Ty 90 12 8.5 3.5 -11.7 -26.7 56.2 80 14 8 6 - 4.8 -6.4 25.6 70 18 7 11 2 1.5 52.2 60 22 5 17 3.2 1.5 48.8 50 26 2 24 .8 .27 46.1 40 27 1 26 -1.6 .5 45.5 30 28 0 28 -1.2 .34 43.4 20 28 0 '28 -2.4- .69 42.8 10 28.5 0 28.5 -4.03 -1.13 42,8 O 6/9286

CulfCatt SafI Air floso 7e'sts___ NASA //.cxg/cy Adaearc)r Center. Nov. / Dec. /97.9 -,,,,,, f, g (a) R///s..che/mer.s.r,; ~..Streamsea/ Bufferf/y Vs/re Moa' / wana ,.e u.. e V o.... --.i t cicwt.no., y u v. u......, ENGINEERING CALCULATION SHEET h s t No. 2 2. ALLil-Oe Alasit$ PQtal er19 9 m Valve a%c fisickness to dio.,rster.rst/o.:. /7 _Zal//o/.upstrean pressure.:.50/3/G_.._Va/re.o,tes/ofion rer; Figure _/d - Torfue eyeof/on ond.coefficknf : 7d" =.Cr!.D.! ~ AP . tohere 7d../.s f)e. dynamic..forpee in.fcat. pouno'.s,_ Cr As fAeaforpse. coeff/ca.nt.,..Di.s.the..yo/se o'iamerker in.feef-ano' 4P /.sJ/re. _fofa/ pressure _ deop cert,1.t fde_ rs/re.s'er ip.sY.. sP..= &.t M

  • E2.h.M.*-

29 29 I 5 30 j j { zo jso l .l N i l u fto l 4 I j i i g ,~ = = Y A i i A i 1 \\ i \\.1 v 14 i \\ _.n 4 g t\\ l . fo i x = x \\- i p> g k .;o O 10 20 30 40 SO M 70 80 go ._Di.sc. Ang/e (*cpen) D

1 CJITo.it DATI /7/r Flow 7e'sts NASR/Longley fasearcJr. Center.. Nov. / Dec.1979. ,,,r j o, g suo.cr u.. f R//is..ch' o/mers. 4 ".3rreamsea/ Bufferf/y Vs/w Moo'e/. v c ..... g .,.....o ENGINEERING CALCULATION SHEET 7&.s? No. 11 ams.cnai.e s: ,os. art s.: .__Va/ve.. dix.2%icMness./o. dipar aNr. rot /O.:.

  • l 7

_ Zal/tal.epsticom pressure.:. 40i 1/C Ve/ve.orienfofion ret: Ayure. l0 7o' rfue eyuafton.ond.coaffteknf :. 7"*t = Cr.ED' ~ 4P _. to/rcre 7/ /.s f)e ay. ramic.hrpue./n.fcat. pouno!.s, Cr..s:s fAe 7'orpee coeff/carnf., Di.s.the ivo/ue. o'ionefer in.fcef ana' AP /.r f./re- _.tol*s/_ pressure drop acro.es fde vs/re.ar. ipa ~n,. .6 P =_.Pa.+ M

  • E2 L/;*

~ 29 29 l 40 j Q .a I b I w !j ~ 20 l o ls ~ lE iu m I t f l e L D. O T xi N "\\ i 1 \\ E \\ 3 o ^ i '4-4 i g I 4 i u + O I 'V 9 O 10 20 30 40 SO 40 70 80 90 Disc r?ngle (*cper)

i' i Test 32 PT = 60 PSI [ s t s_

  • Open Py
  • P 9

2 AP T C Temp *F D T t l t 90 31 16 15 -15.7 -8.4 33.3 i 80 34 16 18 - 7.1 -3.2 34.7 l t f 70 40 17 23 0 0 36.7 60 45 13 32 3.1

0. 8 38.7 i

50 51 8 43 -1.6 -0.3 44.8 I 40 54 5 49 -4.7 -0.8 45.5 i 30 55 3 52 -3.9 -0.6 45.5 20 55 2 53 -5.9 -0.9 '46.1 10 56 1 55 -5.9 -0.9 47.5 i O O 56 0 56 -9.4 -1.3 48.2 l l i 1 Test 32 PT1 = 50 PSI t i 1 90 24 14 10 -17.7 -14.1 25.3 80 25 14 11 -9.8 -7.1 26.6 i 70 35 13 22 0 0 33.3 9 i 60 39 11 28 2.0 0.6 35.4 i 50 43 7 36 -1.6 -0.4 38.7 40 45 3 42 -4.3 -0.8 40.1 i 30 46 2 44 -3.9 -0.7 41.4 1 20 46 2 44 -4.7 -0.9 42.1 10 47 1 46 -4.7 -0.8 42.1 t 0 47 0 47 -9.4 -1.6 42.8 I O t 6/2298

Appendix II l i i _.. ~.--- Figure 1 6" STREAMSEAL BFV t/d =.29 . Disc 90'_Open View L b I m s' I t I see k ]* 7 m.,- 'hk,,, i i l O Q Q f A M e M]L51 Allb

I A' 1 .h,,. . L... i l

  • I

.._, 3,.. I .v. i .,.s, I . r..... /

  • i[., -}ir;1J.'..~

a , ~ ;.. - v u. . ;J 7 . ~, y 'l -....L,... ,r ..id A.m m a = an.M - -- h- ~* Figure 3 i ) 6" STRENiSEAL DFV f-7. t/d =.29 i j -n Disc Flat Side View i t '~ i t= i i i s e l

    • ~ ~ -

{ -o, , +.. 4 l I ) l\\, '4 1,; -

4

P;' e 4 g 'a, j t .'.Q,' ,1. J I ^ .E .u a, - e. ),, . s E- @ e", a , '. 3 j l ),

b..

.I f,' j ' <m l l 'i s* ,t~,* e* n. l f.,I ( -.e=..., f** bara> m-e-_ d 'e e e**__ ~ . w" = hl

f l l 3.

t s

'L- ,. I.~F ; - i Figure 5 t 6" STREAMSEAL BFV i t/d =.12 ^ *

Disc Curved Side

{ View /.s.~ + ~ ~ .y: ~~ 'yg; f?g;%il n

u. _

F p. ~ {,. j N O, .;.o ny,;3 ' '.') i ?.5l ? ~ ;p* ,?.).. *.. O.. I e J

  • sj*

f' .) a,.-- n ..,g '.. ' '.?. - 3 ~..c!'u' =i -- v lN (*4 %y 9

-.3, J l 1 i l C ;) l Dj 'd5 c Q ) I "cdPJ l j c9 i V4 JEED u I t r Figure 7 6" S'1REAMSEAL BFV Left - t/d =.29 ' Center - t/d =.17 Right - t/d =.12 ' I i '~i - i c Cr..

l J Appendix III "-^' W ASR / Lane!er T12.je e - . -1. 2 -- &m .~TCS7 VALVC CA*/ENTR7/ON ~ emm. rm

GR GCh?.: -

ENGINEERING CALCULATION SHEET m,$e... ro.*.m.. - -- L. = F2ALf=& u?S725=M.- '~

  • "h2EI NFLANE= G!CSCN

'* CEEN.2GHI. -- i-

CNFRTGe

[-. , i.uSTS 4.. L,.25 -5./a _-e Euo 3-e '~~T. y t-. TELV5 'gm .-.tj=gg y..#'-.... ~~ -s--,Q w s \\ \\ C Op'. T \\ ) I YG.- 0 t__ - .----<=0 i ~.~

  • =2.2=T. FET !.JESTEC=M

=~ ~,*MCE[ 60*.1D RISPT.

  • CEE5L 21GHr.. --

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DRAWWG ~2 ^8 6 47 MO see U.3. A.. A.C 4tGLArto 87 l GLSC.M ENGINEERING CALCULATION SHEET ALLi$.CeAlmtt$ P.088 @IM dc-

  • TC2!2_'MD FACT k'R3721*&-
    SH6K!N.P.WEW YMNC.W._

+ _SFf?". 79"' - CMSMGM ~ ,ei

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Ji'H VL. 4, ~- n- -j u-~~' ~ n CPENS-4, ff_g - --+-- t / \\ \\ / T \\ Q \\ ) 1 i bG. [I Ij = mGtD~F=.3 L'PSTEAM ~ ~ ~ . SHPFT tic

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