ML18046B012

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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 Entergy icon.png
Issue date: 05/15/1980
From: ABELES J M, DEGROSSI G, GUZJ D J
EDS NUCLEAR, INC.
To:
Shared Package
ML18046B011 List:
References
0540-001-02, 540-1-2, NUDOCS 8111020122
Download: ML18046B012 (31)
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Text

---' \ * -.* ,_ 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:

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INSTRUCTIONS CLJENT I PROJECT: Consumers Power Company Palisades Nuclear Station/Procedures for Determining TITLE: Jet Impingement Forces and Pipe Whip Energies TABLE OF CONTENTS I. INTRODUCTION II. CALCULATION INPUT. III. CALCULATION PROCEDURES A. First Level Calculations

1. Jet Thrust Load 2. Jet Impingement Force 3. Pipe Whip Energy B. Second Level Calculations
1. Jet Thrust Load 2. Jet Impingement Force 3. Pipe Whip Energy c. Checking Criteria IV. REFERENCES FIGURES Revision:

1 0540-001-02 Page 2 of 31 Page No. 3 4 5 5 5 5 7 8 8 12 14 16 17 18

  • EDS NUCLEAR INC * "',.PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power TITLE: Palisades Nuclear Station/Procedures for Determining TmT"\i naement Forces and Pioe Whio Eneraies I. INTRODUCTION Revision:

1 0540-001-02 Page 3 of 31 .-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 tainment.

Phase 2 of the study has defined potentially table are to be investigated.

The tions described in this procedure will use *the information erated from Phase 2 as input. The loads and energies determined for each interaction will then be compared to the target 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 in the SORT 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 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.

INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision:

1 0540-001-02 Page 4 of 31 Palisades Nuclear Station/Procedures for Jet Im in ement Forces and Pi e Whi TITLE: ies 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.

  • EDS NUCLEAR INC.

INSTRUCTIONS CLIENT I PROJECT: Consumers Power company III. CALCULATION PROCEDURES A.

Calculations . . Revision:

1 0540-001-02 Page s of 31 The first level of calculations will assume uniform jet pressure, frictionless pipe flow, targets 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 p A = = = 1.26 for steam saturated water -2.0 nonflashing System operating pressure 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. = K<j) F. t imp Je (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 = l for a plane surface if the jet path is as

  • .AJ-. EDS NUCLEAR INC. -tJ"'PROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power company TITLE* Palisades Nuclear Station/Procedures
  • Jet Im in ement Forces and Pi e Whi Revision:

1 0540-001-02 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: where: (ref. 1) = 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 ular to jet centerline.

for subcooled jets (water under 212°F) Ajet =

for steam saturated jets (water at 212°F and over) 2 Ajet = (l+;x tan 10°) e where: x = centerline distance from break to

  • EDS NUCLEAR INC. '"()"'PROJECT INSTRUCTIONS
  • L 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

= 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 = DLF x F. s imp where: F = equivalent static impingement force s 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

  • ,.(), . -EDS NUCLEAR INC. "',.,PROJECT INSTRUCTIONS CLIENT I PROJECT: Consume*rs Power Company Revision:

1 0540-001-02 TITLE: Palisades Nuclear Station/Procedures for Oete.rminin 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: T = PA init (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)

  • *
  • EDS NUCLEAR INC.

INSTRUCTIONS CLIENT I PROJECT: consumers Power company Revision:

1 0540-001-02

-1 TITLE= Palisad7s Nuclear for Determining Page 9 of 31 *.-----.

Si:e where: CT = steady-state thrust coefficient c is dependent for the fluid state in the pipe the*piping frictional effects. The frictional loss fL of the piping system is equal to the sum of the 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) where: r f T = straight pipe friction factor from the table below L = total straight pipe lengths D = internal pipe diameter P!PE !'lUC':ION' CA'?::\ FOR cm.'f COllltDC..\I.

PIP!: WlTB FLOW zc:;4 OF n:mn."LZ..'t'CZ Zt" .i"

  • 3/4" l" ltn :?" 3"' 3" 5" S-lu" 12-16 .. lS-Z4: .021 .a2S 0.,., . -.Oll .LllS .Llld .Ol.5 .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.

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

  • F.LANGED OR BUTT-WELDING 9 0 ELBOWS r/d K r/d K 1 20fT 10 30fT 2 12 34fT 3 12fT 14 38fT 4 l4fT 16 42fT 6 l7fT 18 46fT Page lOOf 31 a 24fT 20 CT can be_ dete.onined for the various fluid states"as follows: Saturated-Superheated Steam (h > h oper -sat ... steal!4. T > 212°F) : CT can be obtained from figure 2. (ref. 1) Subcooled Flashing Water (h < h oper -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 + f L o (ref. 1)
  • * ..l). _ EDS NUCLEAR INC.

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 0 = Vessel pressure gc = Newton's gravitational constant Compressible Discharge tss = ( (ref. 1) where c 0 = sonic speed in the fluid The non-dimensional ratios and are given in figure 5. C 0 is given in figure 6.

' * ---EDS NUCLEAR INC. ""'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, __ c 0_, by the equa:tion:

1 K<j> = -C 2 D (ref. 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) A A.. + (A -A.. ) jet = -oreak x a -oreak Where A = break area _l_ . . break De = break diameter

  • EDS NUCLEAR INC.

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 is reached.*
  • A value of 5.0 may be used. -Aa =

area as determined from figure 10. Region 2: for X<x< ( -De) c:o.t 10° Ajet = Aa *Another conservatism can of dynamic load factor. first level calculations applied step load. This cons;dering the shape of curve. be removed in the application The value of 2.0 used in the is based on an instantaneously value may be reduced by the input force versus time 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 Ct 0) to the natural period of the target (T) is less than 0.5, DLF will be less than 2.0 .

I . .A!-_ . EDS NUCLEAR INC. "(J"PROJECT INSTRUCTIONS CLIENT I PROJECT: TITLE: Consumers Power Company Revision:

1 0540-001-02 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 M = plastic moment capacity of pipe p 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 INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Palisades Nuclear Station/Procedures for Oetermini Jet Impingement Forces and Pipe Whip Energies Revision:

1 0540-001-02 g c 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 P pm (ref. 6) If hinge forms at L If L>LMAX, hinge forms at 2nd elbow providing that the moment exceeds M . p ' The bending and torsional capacities of straight and curved pipe segments are given below: Straight Pipe Segment M l (Do 3 o.3)S = 6 -.P J. y T = !. M p 4 p where: D = 0 the outer diameter of the pipe. D. = the.inner diameter J. 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 (ref. ll.

  • -')-' . EDS NUCLEAR INC. "'rPROJECT INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company TITLE: Palisades Nuclear Station/Procedures for Determining Jet Im ingement Forces and Pipe Whip Energies Elbow and Curved Pipe Segment 1T l D 4 -0.4 0 1 -24 c 2 Sy Do where for butt welded elbows: = , but not less than 1.5 b 2 t = nominal pipe wall thickness R =

radius of curved pipe or elbow. D 0 -t r = mean pipe radius 2 Revision:

1 0540-001-02 Page 16 of 31 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

__ L

--. * -EDS NUCLEAR INC.

INSTRUCTIONS CLJ ENT I PROJECT: Consumers Power Company TITLE: Palisades Nuclear Station/Procedures for Determining IV. REFERENCES Revision:

l 0540-001-02 Page 17of 31 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 nMaximum.

Pipe Whip Energy based on SORT Program Data." 4. Crane Company, "Flow Through 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.

  • EDS NUCLEAR INC.

INSTRUCTIONS . .. CLIENT I PROJECT: Consumers Power Company Revision:

1 0540-001-02 Page 18 of 31 I TITLE: _I __ -Palisades Nuclear Station/Procedures for Determining in ement Forces and Pi e Whip Energies A. Sh:ape Factor fez: Plane Sur.face = COS 9 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 DETERMINATION OF SHAPE FACTORS FOR JET I

EDS NUCLEAR INC. _ e INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company TITLE= Palisades Nuclear Station/Procedures for Determinin Jet Impingement Forces and Pipe Whip Energies * :z: w .* (,,) t&.. LL. Q "' :;, c::: i= ... **050-lllA1'1" 0 * .t -+-T SS

--....._ SATilllAna WAnit ....

--. -----Revision:

1 0540-001-02 Page 19 of 31

  • FRICTION,, fUD IO FR I_ CT? CN, fl/O FIGURE 2 FRICTION EFFECT ON STEADY SLOWDOWN FORCE
  • EDS NUCLEAR INC.

INSTRUCTIONS

.. CU ENT I PROJECT: Consumers Power Company Revision:

1 0540-001-02 Page 20 of 31 TITLE: Palisades Nuclear Station/Procedures for Determining Jet Im in ement Forces and Pi e Whi Energies 1.S 1.4 ,_. (.,) *. !2: !.; . <:> . 1Jl -u.. 1.1-1.LJ a.a 0 c.J ,_ Q.6 Vt :::l c:: i=*. a.4 a.2 fUD

  • 0.% -...... .___ ..... __ . .-...._ ""' ...... ' ' ----?0 = 2000 psi --------P = 1000 psi 0 ' ' fUC
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  • s ------_.,,, IUD* 8 ... Q.Q I I r m m ill Figure 3 STAGNATION ENTHALPY, h 0 (STU/lb) Subcooled Water Blowdown Thrust Coefficient as a Function of Stagnation Enthalpy and Pipe Friction

_ EDS NUCLEAR INC.

INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company TITLE: Palisades Nuclear Station/Procedures for Detemining Jet Im ingement Forces and Pipe Whip Energies Revision:

1 0540-001-02 Page 21of 31 1.8 '(Ila

  • 2Z? STU/lb 1.5 ha
  • SiU/l b U'-\ / J' ._a.Sr a.4 Po
  • SOURCE {S'iAGUATIONl l'fil:SSURE f
  • PlrE FiUCTICJU FACTOR ... Q.O! UC *PIPE TO CIA..".IETER ha
  • SOURC= (STAGNAnom ENTHAL..OY A
  • PIPE BREAlC AREA -Po
  • 1000 p:i *--Po
  • 201ill SATURATED WATER I\ ---------------------

ho .. 4:31 BTIJ/l b ------

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

  • EDS NUCLEAR INC.

INSTRUCTIONS CLJENT I PROJECT: Consumers Power Company TITLE: Palisades Nuclear Station/Procedures for Determining ement Forces and Pi e Ener ies L *-*-* --. --* ...........

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  • 1CllllJ * {5451 INITIAL PRESSURE, ? (psia) 0 INITIAL PRESSURE, P (psia) 0 FIGURE 5 . . INITIAL DISCHARGE PROPERTIES, WATER Revision:

1 0540-001-02 22 of 31 CLIENT I PROJECT: Consumers Power Company * .... . . ""* ..... . . . ...... . . -* . Revision:

1 0540-001-02 of -31 u*. 0 ... ... * .. Q z n -*. .

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_ 111 100 ,_ "'*s:aa** . .,, ,_.. * .. . -FIGURE 6. SONIC SPEED FOR WATER

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

INSTRUCTIONS CLIENT I PROJECT: Consumers*

Power-Company Palisades Nuclear Station/Procedures for Determining TITLE:

  • Jet Impingement Forces and Pipe Whip Energies 1CO m 20 IQ
  • 5 .. "l 11.2 0.1 I t I I I 1* , r'--... :L..

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  • I I I I I ....... ,,_, I I I . l I FtAi I PUiC:. I Ir---I I I I I I I -I I I I I I I I I I I I I j I ! I I I I I I I I I I I I I i I I I I I . FIGURE 7 Drag Coefficient for Two!..Dimensional Flow Around a Cylinder and a Flat Plate I I I I I Revision:

1 0540-001-02 24 of 31 I I . . --:

. .. . EDS NUCLEAR INC.

INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision:

1 0540-001-02 TITLE.. Palisades Nuclear Station/Procedures for Determining Jet and Pipe Whip Energies Page 25 of 31 -*--**------.-**---------*--

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  • 5 z c.. 1 o.s " I I ' I I I I I I I I $roxn I I if

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  • 1 I I I I I I I ' I I I I I I I I I ! I I I I I I I I I I G.C2Q.1 a.z Q.l l Z $ lQ :t1 SO 100 2CG 10.COO o;d FIGURE 8 I I ' I l I I I JTd Ct::>X.! I I I I I I . Drag Coefficient for Sphere and Circular Disk l I

EDS NUCLEAR INC.

INSTRUCTIONS CLIENT I PROJECT: Consumers Power Company Palisades Nuclear Station/Procedures for Deterrrining TITLE: Jet Impingement Forces and Pipe Whip Energies 10* r

--. ' f

....... ___ __ . 0$10>1 I REG!Olf l (B) Circumferential Break with Partial Separation (C) Longitudinal Break =-\ \ \ FIGURE 9 x ----I f RS!C:t-l I I ! :1 .1 I R$IC:J '-I \ \ Fluid Jet Geometry Revision:

1 0540-001-02 26 of 31 I

.

.. . NUCLEAR INC. -=tY-PROJ ECT IN ST RU CTI 0 NS CLJ ENT I PROJECT: Consumers Power Company Palisades Nuclear Station/Procedures for Determining TITLE: Jet Impingement Forces and Pipe Whip Energies lOOO. 0 I () ... l ' i ! ; 100.0

l. 0 __ **-!-* __ . -+-'-* *--+-1 O. l a** *-20 40 Sa 80 lCO FR l CTl fL./O FIGURE 10 HOMOGENEOUS JET ASYMPTOTIC AREA, SATURATED WATER AND STEAM BLOWDOWNS Revision:

1 0540-001-02 Page 27of 31 --1 *

. . -.* ---EDS NUCLEAR INC.

INSTRUCTIONS CU ENT I PROJECT: Consumers Power Company Revision:

1 0540-001-02 TITLE: Palisades Nuclear Station/Procedures for Detennining Jet Impingement Forces and Pipe Whip Energies Page 28 of 31 2.0

  • T.2 0 ... ...I 0 -o.a 0.4 *a ,. --I / I j I I I ./ I I ' I I 1 I I I/ ! I I : l/

11 I , I j ,'o// 11 I . b4-I I / 1.,,/ y I I I I ,_/I -,;, I ( I I I r I i --I .J.---r I l I i I I I I I I ! I I I i ' r.b_I I i i I I I i '" I I ! I td I I I 0.05 0.10 0.2 0.5 1.0 2.0 5 TO Figure 11 Maximum response of one-degree elastic systems (undamped) subjected to rectangular and triangular

  • load pulses having zero rise time.

EDS NUCLEAR INSIRUCTIONS CLIENT I PROJECT: Consumers Power Company Revision:

1 0540-001-02 Page 29.of 31 TITLE: Palisades Nuclear Station/Procedures for Determining Jet Impingement Forces and Pipe Whip Energies .* Figure 12 2.0 .\J t.8 ; 1.5 e u: ...I Q -1.4 1.:? 1.0 0 f\ I \ I I I I I \ \ ' i I\ I i \ I \V 1.0 ! I I 'J F,0 i ! \ '/ 2.0 t,./r :,. I I ---j I I I I I I I I --'-.J/..-........ ..........

J.O 4.0 Maximum response of one-degree elastic systems (undamped) subjected to constant force with finite rise

\

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_ . . . EDS NUCLEAR INC. '"l 7 PROJECT INSTRUCTIONS CLIENT I PROJECT: consumers Power company Palisades Nuclear Station/Procedures for Determining TITLE: Jet Impingement Forces and Pipe Whip Energies . . Breu Plane I T. r.irr.lS t 1 :id Z Elbow Revision:

1 0540-001-02 30 of 31 P l:i.st1c H t!ige j , __ \ .... (-4

..... ---,&-',...,_ , :'it, 3 \ ----Ji::: FIGURE 13 ,

'.\tome:it il C:i..paci.ty of Pt;:e ---../ -, .

  • I ... ., Plastic Hinge Location Determination
  • L _ .. * . EDS NUCLEAR INC.

INSTRUCTIONS CU ENT I PROJECT: Consumers Power Company Palisades Nuclear Station/Procedures for Determining TITLE: Jet Impingement Forces and Pipe Whip Energies Drag Coefficient Data . -**-* .. -. --eod:r =.spe Co Re)"?lOld:s mu:ibu cyli:dt::" -0 1 ., 10 1 to i . .; x *-

-O.G 4 x 10 6 2:1 0.46 I . 10 1 -0.32 I 2.s x !0' to ... A:l -<=:a o.:ro I 2.S X 10* B:l 0.:0 z x 10 1 Squ:ze. eylinclcr

-0 :?.O I 3.5 x to* -

<> I .fl 10' to 10 1 T:ian.,.""Ul..V 41:i::* 2.0 10 1 ., lO*

  • I --2.15 10 4 -S<l* l.60 !O* -:?.20 10 1 -1.39 lO*

l.! 10 5 -1.0 :os Semilubul= ) c 2.l 4 x 10* -l.12 "x 10' TABLE 1 Revision:

1 0540-001-02 Page 31 of 31 .\

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