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Operation Procedure 0540-001-02 Revision 1, Palisades Nuclear Station-High Energy Line Break Evaluation Phase III, Procedures for Determining Jet Impingement Forces & Pipe Whip Energies.
	ML18046B012
Person / Time
Site:	Palisades
Issue date:	05/15/1980
From:	Abeles J, Degrossi G, Guzj D; EDS NUCLEAR, INC.
To:	;
Shared Package
ML18046B011	List: ML18046B009; ML18046B012; ML18046B013;
References
	0540-001-02, 540-1-2, NUDOCS 8111020122
	Download: ML18046B012 (31)
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- Al-EDS NUCLEAR INC.

PROJECT INSTRUCTIONS TITLE: Palisades Nuclear Station High Energy Line Break Evaluation Phase III Procedures for Determin-g Jet Impingement Forces and Pipe NO.: Whip Energies 0540-001-02 CLIENT/ PROJECT: Consumers Power Company JOB NO.: 0540-001-821 REVISION: 0

PREPARED: __~_7-i_

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"(~PROJECT INSTRUCTIONS Consumers Power Company CLJENT I PROJECT: Revision: 1 Palisades Nuclear Station/Procedures for Determining 0540-001-02 TITLE: Jet Impingement Forces and Pipe Whip Energies Page 2 of 31 TABLE OF CONTENTS Page No.

I. INTRODUCTION 3 II. CALCULATION INPUT. 4 III. CALCULATION PROCEDURES 5 A. First Level Calculations 5

1. Jet Thrust Load 5

2. Jet Impingement Force 5

3. Pipe Whip Energy 7 B. Second Level Calculations 8

1. Jet Thrust Load 8

2. Jet Impingement Force 12

3. Pipe Whip Energy 14

c. Checking Criteria 16 IV. REFERENCES 17 FIGURES 18

"',.PROJECT INSTRUCTIONS A)~ EDS NUCLEAR INC*

CLIENT I PROJECT: Consumers Power c~mpany Revision: 1 0540-001-02 TITLE: Palisades Nuclear Station/Procedures for Determining

.T~t. TmT"\i naement Forces and Pioe Whio Eneraies Page 3 of 31 I. INTRODUCTION

.- The purpose of this procedure .is to provide a systematic method for calculating jet impingement forces and pipe whip energies for use in evall:lating the effects of pipe ruptures in the con-tainment. Phase 2 of the study has defined potentially unaccep-table interactions~which are to be investigated. The calcula-tions described in this procedure will use *the information gen-erated from Phase 2 as input. The loads and energies determined for each interaction will then be compared to the target allow-ables to assess the acceptability of each interaction.

Because of the large numbers of interactions to be considered, the first approach will be to apply simplified, conservative methods which can be employed rapidly to eliminate a large numbe*r of interactions.. The input information for the first level calculations ~re ~ontai~~d in the SORT p~ogram output.

A second set of calculations will be performed for all interactions which cannot be shown to be acceptable by the first method. The interactions will be considered in more deta~l-using information from design drawings as well as the SORT program information. Some of the conservatisms included in the first method will be eliminated.

Any interaction which cannot be eliminated by either method will either be handled on a case by case basis with more sophisticated analytical techniques or by using a system approach

A)-. .. .. EDS NUCLEAR INC.

"(~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for TITLE: Jet Im in ement Forces and Pi e Whi ies Page 4 of 31 II. CALCULATION INPUT The SORT p*rograni provides specific input needed to perform these calculations. It provides the following information on the potentially unacceptable interactions from Phase 2:

l. Break type and location

2. Target identification

3. Distance from break to target

4. Pipe condition (stationary or whipping)

S. Pressure, temperature and break area

6. Thrust load (kpA)

7. Thrust load times distance from break to target for whipping pipes.

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EDS NUCLEAR INC.

"'~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power company Revision: 1 0540-001-02 Page s of 31 III. CALCULATION PROCEDURES A. *First-~evel Calculations . .

The first level of calculations will assume uniform jet pressure, frictionless pipe flow, targets perpen-dicular to jet path and maximum possible pipe whip energy at impact.

l. Jet Thrust Load The jet thrust has a magnitude of:

T = kpA (ref. l) where:

k = 1.26 for steam saturated water -

2.0 fo~ nonflashing wat~r p = System operating pressure A = Cross-sectional flow area of pipe This value can be taken directly from the SORT program.

2. *Jet Impingement Force The impingement force on a target is equal to:

F.

imp

= K<j) F.

Je t (ref. l) where:

KQ = shape factor Fjet = jet force parallel to the jet centerline at the impingement plane For conservatism, the targets may be assumed to be perpendicular to the jet path. Shape factors for plane surfaces and for. pipes and conduits may be determined from Figure 1. It should be noted that K~ = l for a plane surface if the jet path is as

.AJ-. EDS NUCLEAR INC.

-tJ"'PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power company Revision: 1 0540-001-02 TITLE* Palisades Nuclear Station/Procedures

Jet Im in ement Forces and Pi e Whi Page 6 of 31

.t of l.O may be conservatively assumed for smooth convex bodies.

The jet force may be conservatively.assumed to equal the thrust load for targets whose area cannot be determined from the SORT program data. If target areas can be determined (e.g. for pipes),

the jet force can be calculated as follows:

(ref. 1) where:

= average jet pressure parallel to jet centerline at impingement plane Atarget = target cross-sectional projected are perpendicular to jet centerline at impingement plane.

The average jet impingement pressure is equal to the. thrust force divided by the jet area at the point of interest.

(ref. 1) where:

Ajet = cross-sectional area of jet perpendic-ular to jet centerline.

for subcooled jets (water under 212°F)

Ajet = ~reak

for steam saturated jets (water at 212°F and over) where:

Ajet = ~reak (l+;x tan 10°)

e 2

x = centerline distance from break to

..l~. EDS NUCLEAR INC.

'"()"'PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: l 0540-001-02 Palisades Nuclear Station/Procedures for Determining TITLE: Jet Im ement Forces and Pipe Whip Energies Page 7 of 31 De = break diameter

~reak = break area The break opening is assumed to be circular for both* circumferential and longitudinal breaks and to have a cross-sectional area equal to the effective flow area of the pipe.

In order to account for the dynamic nature of the load, a dynamic load factor should be applied to the impingement force as follows:

F s

where:

= DLF x F.

imp F s = equivalent static impingement force DLF = dynamic load factor A conservative dynamic load factor of 2 may be applied. (ren. 1)

The target temperature can be assumed to equal the jet temperature for the purpose of target evaluation (ref. 1).

3. Pipe Whip Energy Pipe whip interactions are identified in the SORT program. The first level calculations will assume the same hinge locations for the whips that were assumed in Phase 2 (ref. 2). The SORT program provides an energy term equal to the thrust load times the distance between the break and the target .

For short distances, this is approximately equal to the kinetic energy of the pipe at impact. The maximum kinetic energy for any interaction can be determined by applying a factor of 3.2 to this energy term. This factor is based on a maximum pipe whip angle of 180° with the minimum possible L

,.(), . - EDS NUCLEAR INC.

"',.,PROJECT INSTRUCTIONS CLIENT I PROJECT: Consume*rs Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Oete.rminin TITLE: Jet Im in ement Forces and Pipe Whip Energies Page 8 of 31 straight line distance between the break and the target (ref. 3).

K.E. = 3.2 x (kpA) x Distance B. Second Level Calculations The second level of calculations are to be applied to interactions which cannot be shown to be acceptable by the methods of. the first level analyses. These calculations consider pipe friction, the angle between *the jet path and the target plane and a more accurate representation of pipe whip energy. '

1. Jet Thrust Load The jet thrust loads for initial and steady state conditions are calculated as fo.llows :

The initial thrust force is defined as:

Tinit = PA (ref*. 1) where:

P = system operating pressure

A = cross-sectional flow area of pipe The steady-state friction limited blowdown force is defined as:

(ref o 1)

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EDS NUCLEAR INC.

"'~PROJECI INSTRUCTIONS CLIENT I PROJECT: consumers Power company Revision: 1 0540-001-02 TITLE= Palisad7s Nuclear Station/Pr~cedur7s for Determining Page 9 of 31 where:

CT = steady-state thrust coefficient c is dependent for the fluid state in the pipe

~d* the*piping frictional effects. The frictional loss fL of the piping system is equal to the sum of the f~iction loss,(gL) st, of the straight portion of pipe and the friction loss, K, of the pipe bends (ref .4)

Straight Portion:

f~

(~) st = ""1) r where:

f = straight pipe friction factor from the T

table below L = total straight pipe lengths D = internal pipe diameter

.----- P!PE !'lUC':ION' CA'?::\ FOR cm.'f COllltDC..\I. ~t~::t. PIP!:

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.Oll .LllS .Ol~ .~l7 .Llld .Ol.5 .Lil~ .ul.Z .012 Pipe Bends:

The friction loss K for a 90° bend is given in the table below. If the piping system has n 90° elbows, the total friction loss of the bends is n x K. (ref. 4)

A)2' . . EDS NUCLEAR INC.

"'rPROJECT* INSTRUCTIONS CLIENT I PROJECT: consumers Power company Revision: 1 0540-001-02.

Palisades Nuclear Station/Procedures for Determinin TITLE: Jet Impingement Forces and Pipe Whip Energies Page lOOf 31 90° PIPE BENDS AND 0

F.LANGED OR BUTT-WELDING 9 0 ELBOWS r/d K r/d K 1 20fT 10 30fT 2 l2~T 12 34fT 3 12fT 14 38fT 4 l4fT 16 42fT 6 l7fT 18 46fT a 24fT 20 SO_f~---

CT can be_ dete.onined for the various fluid states"as follows:

Saturated-Superheated Steam (h oper -> h sat ... steal!4.

T > 212°F) :

CT can be obtained from figure 2. (ref. 1)

Subcooled Flashing Water (h oper -< h sate steam, T > 212°F)-:

CT can be obtained from figures 3 and 4. (ref. 1)

Non-Flashing Water CT can be calculated as follows:

2 l + fL (ref. 1) o

~l

..l). _ EDS NUCLEAR INC.

'"'~PROJECT INSTR*UCTIONS CU ENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Page 11 of 31 The steady-state thrust load shall be used for jet impingement calculations while the larger of the initia thrust force or the maximum friction limited thrust blowdown force will be used in the pipe whip energy calculation. In some cases, it may be shown that the initial jet thrust force is of short duration.

If the initial thrust load is higher than the steady state thrust load, advantage of this situation may be taken in calculating pipe whip energies. The time to reach steady state conditions may be calculated as follows:

Non-Flashing Liquid Discharge

where:

= 2LI po 2gCPO (ref. 1)

L = Pipe length from vessel to the break po = Fluid density in the vessel P = Vessel pressure 0

gc = Newton's gravitational constant Compressible Discharge tss = (P~) (c~ )(c~) (ref. 1) where c0 = sonic speed in the fluid The non-dimensional ratios (P~) and (C~) are given in figure 5. C0 is given in figure 6.

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""'PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 g Pagel2 of 31

2. Jet Impingement E'orce The impingement force on a target is equal to:

(ref. l)

To remove conservatisms,* the angle between the jet path and the normal to the target plane should be considered. This will affect the shape factor and the direction of the impingement force.

For targets which are totally engulfed in the jet, the shape factor is related to the drag coefficient,

__c0 _, by the equa:tion:

1 K<j> = - (ref.

2 CD l)

Acceptable drag coefficients for various shaped bodies *are given in figures 7, and 8 and in Table l.

The average jet impingement pressure is given by the following equation :

Pjet = (ref. l)

For steam saturated jets with nearby targets, some conservatism may be removed by considering the larger jet area resulting from the initial expansion of the fluid as shown in Figure 9. The jet areas in regions 1 and 2 are determined as follows (ref. l)

' Region l: for (0 < x ~ X)

Where A A..

jet = -oreak + ~

x (A a

Abreak = break area

- A..

-oreak )

_l_

De = break diameter

.Pl~. EDS NUCLEAR INC.

';{~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 TITLE: Palisades Nuclear Station/Procedures Jet Im in ement Forces and Pi e Whi Page 13 of 31 x = distance to asymptotic plane = y De y =multiplier expressing the number.of pipe diameters doWn.stream of the exit plane at which the asymptotic ar~a is reached.* *A value of 5.0 may be used.

Aa = asymptot~c area as determined from figure 10.

Region 2: for X<x< ~ (~ - De) c:o.t 10° Ajet = Aa

Another conservatism can be removed in the application of dynamic load factor. The value of 2.0 used in the first level calculations is based on an instantaneously applied step load. This value may be reduced by cons;dering the shape of the input force versus time curve.

for whipping pipes, the load may be applied to the target for a short time duration. A rectangular pulse shape may be assumed and the dynamic load factor can be taken from figure ll *cref. 5). Ii the ratio of load pulse duration time Ct0 ) to the natural period of the target (T) is less than 0.5, DLF will be less than 2.0 .

.A!-_ . EDS NUCLEAR INC.

"(J"PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 TITLE: Page 14 of 31 For very stiff targets, the consideration of a finite rise time may be helpful. Assuming that the load rises linearly to its peak in one millisecond (ref. l), the DLF's given in figure 12 may be used (ref. 5).

3. Pipe Whip Energy Pipe whip energies may be more accurately determined by considering the arc traveled by the pipe required to hit its target.

The kinetic energy at impact will equal (ref. 6) where:

T = thrust load X = effective moment arm e = angle of rotation Mp = plastic moment capacity of pipe Pipe movement during whip will be assumed to occur in a plane in the direction of the jet reaction.

It will occur only.if the moment produced by the maximum jet thrust is sufficient to produce aplasti hinge. Possible hinge location will be selected by considering both areas of greater flexibility (such

,.()3' . EDS NUCLEAR INC.

e "'~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Oetermini g c Jet Impingement Forces and Pipe Whip Energies Page 15 of 31 as elbows) and locations where moments are greatest.

(Experience has shown that*the second elbow back from the break is the most likely hinge location)

In order to determine whether a hinge will form between the first and second elbows, the following equation

based pn the model shown in figure 13 will be used 2 M.

TL -3M L-6M - = 0 (ref. 6)

P pm If L<~, hinge forms at L If L>LMAX, hinge forms at 2nd elbow providing that the moment exceeds Mp .

The bending and torsional capacities of straight and curved pipe segments are given below:

Straight Pipe Segment M

.P

= 6l (Do 3

- o. 3 )S y J.

!. M T

p =4 p where:

D 0 = the outer diameter of the pipe.

D.

J. = the.inner diameter S = the minimum yield strength at normal operating Y (100% power) temperature, as specified in the AS.ME Boiler and Pressure Vessel Code Section III, Tables 1-2.

This static yield strength may be increased by 10%

to account for high strain rate effects associated with pipe ru~ture (ref. ll.

-')-' . EDS NUCLEAR INC.

"'rPROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 TITLE: Palisades Nuclear Station/Procedures for Determining Jet Im ingement Forces and Pipe Whip Energies Page 16 of 31 Elbow and Curved Pipe Segment D 4 - 0.4 1T l 0 1

- 24 c Sy Do 2

where for butt welded elbows:

c~ = 1 *~; 3 , but not less than 1.5

~ b 2

t = nominal pipe wall thickness R = be~d radius of curved pipe or elbow.

D - t 0

r = mean pipe radius 2 Th~ torsional strength of an elbow is that of a straight pipe C. Checking Criteria Checking shall be in accordance with Attachment 8 of the Palisades HEI3'-Evaluation- Phase III - General Procedure

,&_~~ --. * - EDS NUCLEAR INC.

-~~PROJECT INSTRUCTIONS CLJ ENT I PROJECT: Consumers Power Company Revision: l 0540-001-02 TITLE: Palisades Nuclear Station/Procedures for Determining Page 17of 31 IV. REFERENCES

1. Draft ANSI/ANS-58.2, noesign Basis for Protection.of Nuclear Power Plants Against Effects of Postulated Pipe Rupture," November 1978.

2. Phase Two Report, Palisades Nuclear Station Systematic Evaluation Program High Energy Line Breaks Inside Containment, EDS Report No. 02-0540-1024 Revision 0.

3. EDS calculation *~raIP-001, nMaximum. Pipe Whip Energy based on SORT Program Data."

4. Crane Company, "Flow Through V~lves, Fittings and Pipes,"

Technical Paper No. 410.

5. J.M. Biggs, nintroduction to Structural Dynamics,"

McGraw-Hill, 1964.

6. F.L. Moreadith, et-al., "Structural Analysis and Design of Pipe Whip Restraints," ASCE Specialty Conference.

on Structural Design of Nuclear Plant Facilities, December 1973, Appendix D.2. *

.;JL.~ EDS NUCLEAR INC.

-.i~f>ROJECT INSTRUCTIONS CLIENT I PROJECT:

I Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Determining TITLE: in ement Forces and Pi e Whip Energies Page 18 of 31 A. Sh:ape Factor fez: Plane Sur.face K~ = COS 9 B~ Circular Jet Impinging on Pipe or Conduit with Jet Diameter Less than Pipe Diameter r sin ~

K =1 _ .4Z40j 9

c.

Circular Jet Impinging on Pipe or Conduit with Jet Diameter Greater than Pipe *Diameter

}{<P = 0 .. 576 FIGURE 1

_I __ - DETERMINATION OF SHAPE FACTORS FOR JET I

.A~_ EDS NUCLEAR INC. _

e "'~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Determinin TITLE= Jet Impingement Forces and Pipe Whip Energies Page 19 of 31 0

.t -+-T

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FRICTION,, fUD

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IO FR I_ CT? CN, fl/O FIGURE 2 FRICTION EFFECT ON STEADY SLOWDOWN FORCE

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EDS NUCLEAR INC.

"<<~PROJECT-

.. INSTRUCTIONS CU ENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Determining TITLE: Jet Im in ement Forces and Pi e Whi Energies Page 20 of 31

- - - - ? 0 = 2000 psi

P0 = 1000 psi fUD

0.%

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s IUD* 8 a.2 Q.Q I I r

~ m ~ m ~ ~ ~ ~ ill ~ ~ ~ ~

STAGNATION ENTHALPY, h0 (STU/lb)

Figure 3 Subcooled Water Blowdown Thrust Coefficient as a Function of Stagnation Enthalpy and Pipe Friction

.~~ _ EDS NUCLEAR INC.

-.~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Detemining TITLE: Jet Im ingement Forces and Pipe Whip Energies Page 21of 31 Po

SOURCE {S'iAGUATIONl l'fil:SSURE f

PlrE FiUCTICJU FACTOR

... Q.O!

1.8 UC *PIPE l~NGTii TO CIA..".IETER RATIC~I Ila

2Z? STU/lb ha

SOURC= (STAGNAnom ENTHAL..OY 1.5 A

PIPE BREAlC AREA

' ( ha * ~31 - Po

1000 p:i SiU/l b * - - Po

201ill i:~

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1 2 3 s & 1 8 FRICTIO:i, fl/O FIGURE 4 Subcooled Water Blowdown Thrust Coefficient as a Function of Pipe Friction for various Stagnation Enthalpies

~~

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-.:~PROJECT INSTRUCTIONS CLJENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 TITLE: Palisades Nuclear Station/Procedures for Determining ement Forces and Pi e ~rhio Ener ies Pag~ 22 of 31

&.0..------------------------------------------------.

Wffn&~C~AAc:*Vl~T"P'

o. *µ*=FLUID VELO:ITf u

....... -4.0 C =SONIC V'ELOC?TY AT

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SATURATiON 0

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{5451 INITIAL PRESSURE, ? (psia) 0

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INITIAL PRESSURE, P0 (psia)

FIGURE 5 INITIAL DISCHARGE PROPERTIES, WATER

CLIENT I PROJECT: Consumers Power Company

Revision: 1 0540-001-02 Pag~ 2~ of -31

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111

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FIGURE 6.

SONIC SPEED FOR WATER

.. -~~ _ . *- - . -- * . EDS NUCLEAR INC.

"t~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers* Power-Company Revision: 1 Palisades Nuclear Station/Procedures for Determining 0540-001-02 TITLE:

Jet Impingement Forces and Pipe Whip Energies Pag~ 24 of 31 1CO m t I I I 1* I 20

, r'--... :L.. s:r~

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~f'{C'n.!HCG I I I I I I IQ 5 I f"'lI . . . .I,,_,

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I I I I I 11.2 I I

! II I j I 0.1 I

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j I I I i .I I

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~

FIGURE 7 Drag Coefficient for Two!..Dimensional Flow Around a Cylinder and a Flat Plate

.A~-~. .. . EDS NUCLEAR INC.

-a~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02

. Palisades Nuclear Station/Procedures for Determining TITLE. Jet and Pipe Whip Energies Page 25 of 31 I

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I lQ :t1 I I SO 100 2CG I

~CO I~ 10.COO RDn~ H~MBD*': o;d FIGURE 8 Drag Coefficient for Sphere and Circular Disk

.,,A~_.. EDS NUCLEAR INC.

"(~PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Deterrrining TITLE: Jet Impingement Forces and Pipe Whip Energies Pag~ 26 of 31 10*

~ r

~:::--

f *~-~ -- ' .

. ~~~ 0$10>1 I REG!Olf l x ----

=-

(B) Circumferential I f RS!C:t- l Break with Partial Separation I !

I

.1

\ I

\

\ :1 R$IC:J '-

I

~*

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(C) Longitudinal Break

\ I FIGURE 9 Fluid Jet Geometry

. ~A~. . . ~OS NUCLEAR INC.

-=tY-PROJ ECT IN ST RU CTI 0 NS CLJ ENT I PROJECT: Consumers Power Company Revision: 1 Palisades Nuclear Station/Procedures for Determining 0540-001-02 TITLE: Jet Impingement Forces and Pipe Whip Energies Page 27of 31

--1 lOOO. 0 i*~-----=~==-=;;.;.-;.....~..;.;-*..==-'°'!f Il () ...

i!'

100.0

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a** *- 20 40 Sa 80 lCO FR l CTl ON~ fL./O FIGURE 10 HOMOGENEOUS JET ASYMPTOTIC AREA, SATURATED WATER AND STEAM BLOWDOWNS

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-"it~f>ROJECT INSTRUCTIONS CU ENT I PROJECT: Consumers Power Company Revision: 1 0540-001-02 Palisades Nuclear Station/Procedures for Detennining TITLE: Jet Impingement Forces and Pipe Whip Energies Page 28 of 31 2.0 I

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I I : l/ l~l/v 11 iI i

~

T.2 0

...I 0

I, I. b4- / ~**

I I~~

..._(.,c-.~

j ,'o//

I I 11 r.b_I iI I i I I I

-o.a 0.4 ,.

1.,,/ y I I I r,~ I

,_/I td I - ,;, I ( I I

a

-- I r

I I I 0.05 0.10 0.2 0.5 1.0 2.0 5 TO

~T Figure 11 Maximum response of one-degree elastic systems (undamped) subjected to rectangular and triangular

load pulses having zero rise time.

--,A~--*** EDS NUCLEAR INC~

-~~PROJECT INSIRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision: 1 Palisades Nuclear Station/Procedures for Determining 0540-001-02 TITLE: Jet Impingement Forces and Pipe Whip Energies Page 29.of 31 2.0

.\J f\ I t.8

1.5 I

\ F,0 j I I :,.

u:

e I \

I I

...I Q

-1.4 \ i I I I

'I\ i ! I I I \

I I i II I I

-- -- '-.J/..-

1.:?

\ I 'J -

1.0 \V \ '/ ..........

0 1.0 2.0 J.O 4.0 t,./r Figure 12 Maximum response of one-degree elastic systems (undamped) subjected to constant force with finite rise tim~.

.~?-:. _. . . EDS NUCLEAR INC.

7

'"l PROJECT INSTRUCTIONS CLIENT I PROJECT: consumers Power company Revision: 1 Palisades Nuclear Station/Procedures for Determining 0540-001-02 TITLE: Jet Impingement Forces and Pipe Whip Energies Pag~ 30 of 31 I T. r.irr.lS t Breu Plane 1

id Z Elbow Pl:i.st1c H t!ige j

~, __\. (-4. .Q.=: *- :-*-~*_r: i_s _l_L_er-_.!?t_.i: _" " !" .*-.---,&-'

. ,...,_, ~==n:r"-ted

'it, 3 \ ~ ---- -~Ji:::

~t il

, ~!:isttc '.\tome:it C:i..paci.ty of Pt;:e - -- -,

../.

I

.i FIGURE 13 Plastic Hinge Location Determination

L

.~~ _ . *. EDS NUCLEAR INC.

~i"'PROJECT INSTRUCTIONS

CU ENT I PROJECT: Consumers Power Company Palisades Nuclear Station/Procedures for Determining TITLE: Jet Impingement Forces and Pipe Whip Energies Revision:

0540-001-02 1

Page 31 of 31 Drag Coefficient Data eod:r =.spe Co Re)"?lOld:s mu:ibu

-- *- 10 1 to i . .; x C"£..~ cyli:dt::" 0 1 ., 10~

Elli~ qli.:.ri~ ~ O.G 4 x 10 6 I

2:1 I 2.s.2.Sx 10!0'X 10* 10~

0.46 1

~ 0.32 to

... A:l o.:ro I

<=:a B:l 0.:0 z x 101 Squ:ze. eylinclcr

- 0 1%0*~

?.O I .fl I 3.5 x to*

10' to 101 T:ian.,.""Ul..V C)"iir.d~rs

-- go-~

41:i::*

2.0 1 *I-.,-

10 1 lO*

2.15 104 .\

~ S<l* l.60 !O*

~C> :?.20 10 1

~~ 1.39 lO*

309~

Semilubul= - )c

~:0-l.!

1.0 2.l 4 105

os x 10*

- l.12 "x 10' TABLE 1

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