jE - t; I <;' * if'I \ # *_ t,/.... ~.......... t~~~'',; tf ~f ~, e;......~ ~ ~ h....... s * ^*,*.; >'4 u <.............;.i........ - h S c.. —. i.j: *e ^ 5 i., _ -N. > _,,~~~~~~~~~~~~~~~_ ~i -rt:~- ~ vst;X. o ~!t -te 4; *.!R ^ \r;g.., B;. _ L*t;t5s^1**..; lTs}J ev,Ls4_t g < >f.: &.:.*.O. r*' t __i*;;!,?-So 5e**>i stE S tr

~ "'::'" V.:osdo Ajve n'......'t$IW t t,'Vr t$'A Y:y U aYXn. L pht-,.4 44At 4i;:,, j.. z -d5-; toj tkS t Lz r e&..... 1,'..S "-' r'c' 5 r 2 z:~....r, w d A _N ~:~ff ~fr~ ii,~t UPP:? %a9 ~~s,4't 1-z - r i; h,, v. adY IV:'O~f;Bj~J- ^jw'..SK -EL 0,Ut j;.,,-nz4t cim axO C Ut:2.O2 S uts: v. t- c t%;-sc 2t> hCa.y:?t st;JLJ S>T'Tt c-t G.5! bq 2. 2 u 3 t CYe j t h;ia m; t h - $c'e:" -Z twei: Xix;V,' &sx,.'c;, i y5'?'2 i t ric n u ta -::; t,,:s1t;o,- j. S: - A S jprt zi L. P hk t t.oI,AA< ~ t " * 2, ) v e-x L a' fN 8 i ~'; ~,ct' I trt (" I; fa) fp~ L I11yI, u!/'i 4'~~~~~~yt~'T~F -4~ZWJ /~R19~f% ~j~~

!'w..'iT -01 V4. T. 4 *4 A c that ~~~~a dav mtutrz g e in, 2Kt init ia3. Pho-se tales the. >ro m o r. r lnvyi6 i~u. L k arc so ne"w A"n inn 2 rr ~o~sa' h-sxpe of tv T, mcoat 4oa:1- oa raters. anrd" scvstimos o:? quite'as'been eostutLated b T-4r Ka pp -and others nn fna m Lnia ted in pr ons eprt orgfata tinom t~he prosont rch at the Unierit a Mdit~ivae'that thesme orate~rs are QbmLt of singleN blowi,& $(in iha-t it was observed thant the owcl aore-' pits doos not'eln!-01~rq'n~dtbIftzoal eposx-:- ocvttr."f. It haso also been munere or less aibot rtiant~weJ in a similar c ant ha renoval of rt'erial f1ron tAirro gularI-.!v-si qed i"~ a Is o oecur as -a,s. irgl e event?owx1or it a-Ppenas Wz1-elr t-a-~ steptS the ztxO fil xuc's allowing ito eventual remiovai 1W4~ iS tile rTe'Ult of t~vn fttj1-guing a'ctic,,r ofJO maiky relhtiv~ely'v4''t' u.tht-z~a thQn p20 1ece loc&' ioyi a d~rso -,..94 t t~.,c. a1 a D1 s ir ro: &Otuer.t' o- lizlioai uaara paait~wpe ora mtw'~~ ~'29~~.y,'2 C. LbA4 4L45: < orn s h Unii zsiv o Mib 1ax. T k 2- I fl~*4.~p asvx~rA tint the oratorz ho obsva'tredM in'otinthnacfxv~imm dilr t-K

C.' aG I OIL,' 4~'4 "'W~ -~n..~"-~ n.a z*a, i~ r.his~ wa i tr b'- Mtot PXt ~ASwtOr;SS:t,) is imttptcria3. aoixXUy - rezevod Z'<,ho ~'ovrzX a.':tu tort o 2. S:o ~1)A s: l. $. Me it of s'~' n vit is hopI t.Lz thzr.... ars-r o.t ah b boTre mh ay assts,...n i. JsazrztJ,,.Ilg a bottor w4-2d02r sof thamatig th p w & ",e,bv'1 w I1a -r,5?a r wQor byi alow-,zd jo eS3tr: nat e,: of X t. r zre1' L o tivegir'l r.t o t;^oa -or tc it 2 t ga& a: e.'' C~3XLt0 tots.:~e WCZki ~'OA'P~-m thSe'v..' may' b S'%:,::e.:. o -td uhich the —,-l:m question phodact:zc ti,.,:zson~.tlor J~y trss:COD:ov. f1XIJ tWL t i mtt1 cse.'...... The ~ "~~~~~~~~~~~~~~-4., - oe flcopI#' fln" r ~~4t o, st l.Arh..e, -...Orter of.o s w'ithta ito fi.. mid, axt.& pron;dabity, at a tt.., —....,~,,,,.....L~t4 ~ lJA....:'teoji~a! stonoma,:anezw g dtL ru qv.. e s; f; -tez ) rj +, I s Ilictffio, Is r1 c':, sOnM"aeio to wO, 4;aposo 2&n'&.mo Cenbtec r'-,-,AO' rover azo..:-. DI.y yig'tar SO The t O inv olvs, fthose.e~~ w hs en? o~class e or crgnall very. ta s-~.,face~ eton creat e f e anou g:2u222r2G P. vaay.yiv, etg:g' e rca ffi53od' 3.... utet itto,4 %1i g >132m4'- tv>.ar~a c~nta~' of Z s rj@i i' nea.I *ufae can create forc geROs% lare enog tto caujipr se~2 the obsit).t6~(ei2G.rve

v y,, deg.re.as ~oi:ea% f d a r im.or &n,,oa,.tat Pae'n j~ttt Xrgn can bee n u,,,,:,s.4 "t 1: t ctL taae.of. *kr~ii~i91ss@X~- itEc~ eh^2le^ps.s g Dri:rces mec S2 4U t S7.O. So vrnmis a -$^rxlt,L'i) zicail h X S ofX P t; 0 ts 91k G Oi: e >v0 2 Si -,t ~",:ue aa Eit r;IJ iw;I-s ci 3''1"., to;' t ps % icse y.-s;o~'r~' $ l.e Ia 9o a.- -(,he, Jy.,I. o e %? op.5_,., ~ G 0; d ~;;~tW 4'^)e t o a la ps aJ;r ol Se ~q?1osio'.e ",*_~*,-'.:-'" ": _ed a~ ~~s Is31.a~~, ~~z~s ~L~c~~oa~?~~ad~a~ IU~,.... - - O e phosi-~,"'~ " 9 s~" abov or b.o'-h~ot eC are **'~ thse casth OtW e specie Itr:t.ired ~aitdly h' Jt.de l n a, ite in todib l rthat rCaitatvy l&Qe blet s C.~ -e- O.riOsa J;lvoivring a sfrlug&( U' J; ba*o frt a te&tid. AyI t-ah iqeriaod y w rth e p" velo Sitis craoted ol Tphe orzlXa ar al; tag sff 6B.X~p~a l: t ~h. o a f I a, t, p an.~4 2 1] 3a o- 7l 3 - a.t ~ S e X ilt*g 2t~flCACU t0 PA tlt' That IWhitC m2 tna* I Tl1qcolleap h, ~, ~ t-~io ~irr~cid,, r G', 2 io b-,v sp twter~ cva~~n co s tot cavt;e- t< d i ttczn go t.ae aett -velly r. t"e ""? yes tzase mitta e@ thror gsa t'S o LI5id0'n, isurI te b thsuoed bysp-h i thor,ErinMchaCniC-upaA'en is O"hlooLk icevizs, uOfl it zs,hould be possible t,-o tDs~~ilarSi ilnar appearance03 t lan In those cases the specimens were rapidly throu'ta e

47 c-\..,1. 3!a.}_r'I.>. 6w G Ot,;vs tit1 9;s >C 9 t<,Cto_ 5 PT C t V ~0 ~7 11 IJ I C 01 *12''' io g 2 tre photomr raps a' X. saLoe IagLS:tFcatC % X rE.S I 8t cudjI an kW i5$ p'CN COTA''b~-'.~' o. a vei=t e ati.aon doim,?.t ras- of a v,-~.n'~;,, -!nrait3"' -v __~aton &&hcwea re ti trc. s ici3La te4r.aVp.......d.a... phsor.:i.cr..yjr.pstzt ht ss. magu Lv i~ca otioP Y cx-rlni p-tr rne t sss 9o znix ma. cr cF m J O&'sr 2 00 feet per z secnd aoso --'olr the tp zn,-atvesti:Lat' t- - l e -aie of timpingernent on1 the Cpa2rttriculr OCLr rUi~ of s -h surf;ce c~ i,1an2 \tOa ~L~ Sc SO t t IZ l s bout shur i t1w_;avitation te-asts ancd. abou A seaonds to2 t;o= imn ng i water jet Possible mateTia% removC ohanisrms which htohave been:sts%iatted by the in-estilators concerned with the ipeti i 4rd3:~o~lets- or solfid pargtiiesi6 7$118 2 1 ad which could roll app I also to the cavitationi crater are. i) Material "splash" tde to the inertia of the r'aerU i7 l o sr $ t displaced rapidlgy efroe the center ofi the craterl,o the SraoU-1tP.,Tifsdine ridgev, =exceedig the mte:ial strengtn, and thus allowt, material to tear free,, ite.storical.ly, a very early picture of a 7OeD.c1nOfn o. - this type.1 P rtI on as "petalling", and oc0Th-g when a I or A~ ~ ~ 22. o!~.h, " te, 8: p1a1,. ho.1.Mace o lb -nPnt s 4ro2-. o'>s to t ahe npameron as "gperrtnox sal ashY 2z; tiaa~a Pcue to nh t' Thi vlctio 0 i: W -Tolocito~ Iby o a SJd ppartic lO is sufficiLent3l;y t A -oSf ~dto' ntiafly as a liqud dun th% x n a p cv &other soewhat retlated ezample of soJLzc nateria 3. licjut^iiiwtioen ts afforded b te retanSain dia&pnrGagni znanarmorp.~iercingea "sha>kpe&.~charge"

. p~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~X iii~~~~~~~~~~~~~iiiiii~~~~~~~~~~~~~~~~~~~~~iiii~~~~~~~~~~~~~~~iiii~!i~ ~.........~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...... ~~~~~~~~~~~~~~~~~~~~~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ >. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~.... 4, idea j) AMPd' 000 j i; 2 * aft i, 0 -0 00g46l 2~0^0 8.0jX rant 9AZ; {N ~,s~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Aru 420GY go5 b An, _ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~ ~~ ~~ ~~ ~~ ~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~..............

. *> % 1 3,, hours (lwe;; ) mg; IOX;:Standard:-;;;;; Cavta-;;"-"t;;'ion; Spec1.....en........................... 000000000000000000 - 0.''00:0:00 B 0.0.''B:: igX:0 0,

Its 3 ntumage iron Ueat.r Jet, tr.ial. 303 3S; Velocity: 2700 fps; DratA l irn 5 isecs; l lg. 120ZX Pig0,4 lhnage from gater jet, Thterii: 1010 CS; Vesocity: 2700 fgis; Duiration3 of TpingeYzent: S ai11iecs.; 1xg: 120X

C)So ok'tez io& T,,,,..miu.id Vet (applicable tt.o oih- a msa orzsr ) or of sht ok waves cK ap~pliobP e let t, 11ot,o a sL,2phas- mech&:cilme:~l0 C$:U h Vghl tromsionc,; naturva, -s a tCIr rf~aIV of31s ar.1 b coami; very rwapidt It ts. ob.vi-rr.... -h the g raual applic Ia p pt ion of ev n at 7- a ed C1 - nt n; trti zcl-,7 ps -e Zt Oo,a' r s,:, o e aL2, I;2 iU will t _4X R. 07 < Z< d S A ZO J S ac w -veGlocity droplt do IL Ud saIgt even of large maos,, z,~aJt of tehe 0se,tionts crf crsitg Ievihity g invosthgtg oV. Cvatindaan ig &a Ld- zzto r:ases ts nave besen madte toa ~LptiASo y efa.tA 1 ed by saamw4stata. e ac.l,i w oth a t ar,aa Pzofis.o., &,i t:ByOi2tL mi gor 5t ar t -wh'ere made was fou LM!jeal c aiuaenrsi? aifatsss0 isx r plate (applicable p?, son 1.-__ ProiCord-ert Y Ihsw2r AL. >Z ntagri- at41 io1 S re Zthe mxsult As; eurAv w tabS:ouSai tirt. the, olu.a ie 2removed from bolew the foriginal s rface, ie. the ~&a,~ttr:>, s.rae3riy nf l, withn th'' preclisioin, of the ieasurem.ntsG t'o110 ttv1 vol IMC meraiCsd tvwo3W t!:tin.til SUrfaCeV;l iej thetrin efl r;;oN.:j:I~~ta~~,~~e~e sl~)ed p~:~^,~;9~s,~~E~~:B% 1'~,~1~8~;"~J? a~, C~~j" 0 ~aa c8~

'ic'Ri"ov 2020 c%:'c:?v?e 302 or 33 e.a 6-%t oil 4 0 o L s-6ren h Slox ooo t:,! -.. ] 5., -', g e.d f ng vv~~5....0 ~S o00 s3 0,000.c 0t 5*5 25. 0$0 u4 uu. v'xl w 4 46I 2'8 x. > QinsF 3.., *...

.Tus~.,~ Sis would ba ezpetetiu'. o t sbststr..... tW-It a A frther observato f ison oA rti the t r" o cavnrta; l ion oraters i9.s that Th@ ralw*t teta 0 L U " bstmrvod at unex@pecte-dly large distanices,? eus the s'a tr nt0 8is Acasun. mle vedrtia ipacer ertnicsal oi, tac t apeptieOnxJe.mIadl —, 15 to'183 r8adii from the center of tthe e-atsr,,8t YHorizontl displaoement;s were a!o measzcredl but inm iom9ex!hait IA.ess preibo( m nert A' plateof the csare atm'a:9ax t &'e.ched, an, composit e phC toirogra hs0 of the xegion to be',bi' 4 - -r a a dPe adbefore and, af8 the ar to.Jt,, o i"t th oe ha rdn:a. s t -n.m:, s't, o ndpossibe i,,in this rnnn to ehstui6 cae. retai "s po~.itbYoreti ldet s t-his t eata po it ~anon or son V~-2, a:Tvotiond after' ttw rtion o: te )t5 ama nthu to t' v1t.ae YI5B:1>t nm~tfis~ ho:1st tj~zon~tci~ - d:sFt*Obrtl,:et: dutO to th.p ICo,rat'emi e ora h*re milt.-e, Ca' ttzs Lazwent s w -a obrv. <vtt to V'.-7aopj'n aey d tOY 5t2 - *e,* an,/. feip-,l,,,;, in the'~,'"~,''~'- ou'nE35E Ot^<wEt aztcr, nd W slip-incs< B,..in~ t.he o. o, i;o about / radii ".r oma tbe pit cent ef, F rc,, t Lh e viewoi;potW; o~' cavzitastio damage, the above ni."'.'itatflns are, of Cur, upor&~at at towing titt idiv A &sfif::;-!~ied U" theorz t eticaVlU anal ysi sZ based on thve asmni 2.',t.:f.*# elas J,,ci ty shavo.ed t;haft the rcuat: on o~ volbse don e to t'':.a, t siaoreGss vo% streosses wtould not be Uwithinf the procis ion o:? the I:,J esta: naMt 8aind wouldazzozxt to only abotrIt o or 2 of th era ot)fii.'olez.:or 0 OO6 to h 1-'2,3 of thte dyiefcl t y ei& vco!zreo Omn us, rn:n,: xj:' (:ravap1 esi be use$d as diec t ton volue loss for t' arjl, t;a ti on pit t-ng,:~ n-i'i,-.,~., ttedy r traces of a'e to..ial may havu adhee:ed to the ~r~,~cientyni:,: A~~... This..th... simi.ir to uoe ucK? r' tedeaectizon of ei arth a<,tw:.......~itL). t.tx,,tio pit,

rms.v ttj7eod ehsieo pi; *o~tngss lta,-2 Y.e-1.,io t-SItan Q".O'~s" f:riv'e'-,,' p2ait in ELnct Pro0icorr t-paces -PioerPis e asio maec. fvs @av a t io atlaerS2 and i t- s T- und that in iU. c Ag ant vol03 4 Ups.7removocd a as & onxU1a8-Ned T.;4th tbh loztta; io ioadig pittiz evl'oraViosl discussed 1gP —S s I an.d 6 mshowy typica. profFoo r~dcIer Utces. w3igux s 5. h.idncs resnvo p';Utt l 5 i o nd h7tzi2 e n; a-clal cairitatvion pjixt.itt, is noted thalt the ilrofI1es are o' erally ssimlal r s~hape bo't~h shombr a 1/ e eidG ceptt tCA' }9e2 }mrda~~in ass %,vnaeQ p^ Ss rErlaq;"asajyyi smain t vaalyGif a ly d- dspe -,,~t]I/D_,Dte~-OaI'3,t's 0602 t ~:,O. r~o t;ph.ca. - cavit at'vs- pit:- S a.nad;,~:. Z-,-r,"- ~.~1 e I.~w P, —e. r1 s Czarge,-v. 0#0006 to 0.S02 9t-.v ob-: —-~-,i-.- -.-"itn..5e. o pits is believued y oduam to t1he hrela'G5.i:a".tt,.i tonthp pitts. Wt Cobereo t Pi a S ag;'y L;me afo l;per t phit Ol67- so oe.- that d.) O&oirte tti samples ii-hance a r.ooutior. of thR3 t:tt11 s of t!j1 ipes a'TI, -:.eighth loss occu. tIer t peSstm fitrs i l aor Ino -, I e.'u..,:8., S':.C.. ptS' a~.~ h.d as 7a"o bestn destected by noaso-uri ag adio aelti.ty erom h' l'' d'zs s - a.'td "d'soad est sp-ecS;iSesk26 28

- r t.002 o OMU IN. Initial Surface Figure p.~ Typical proficorder trace of an artificial pit. Vertical scale: 100 microinches/division. Horizontal scale: 0.002"/ division. iX. Notice how far the ridges extend away from the pit crater, and the approximate symmetry of the ridges about the crater. Taken from McHugh(ll)..00I 25MU I Initial Surface'igure $.4 Typical proficorder trace of a cavitation pit. Vertical scale: 25 microinches/division. Horizontal scale: 0.001"/ division. iX. Note the smaller and non-symmetrical ridges (largest ridge is on downstream side of pit) of this cavitation pit as compared to the artificial pit illustrated in Figure?6.S

The tact,tht matamrial is orw~cvoc ~0esi the vSEinity, of- t eavitat; io eratarsj, where3 s it ts not e.eotved fOm the retfon of the sima sm pits caused by srem )<ststiC loading is tsaen as an Sndication that i) $omp me~'~.-~4' mater~'zia-l removal is operative in the....'.;~ t'~fO. oa.Ca K 4L. ~iS.-i) The=.- highly t.,ranse~iten~t ^1v),n27Ptra jW rJ'': rxa~.- sc. irrns~.i...n4~.'~.e or.i;tseial reraoval,,.-. Ttv Te q fl'%j) a? ek tex'S i3 te,oc o t o VAO op r htam. s, i.93s7a s>nc-aor et P th f~8~jot'~ e c-.v,, pertdieete cto by dire t measuroa r by,her of(st mr particles has been:wY~ f-..12 la' ol tne6 niz hana 1'1e. as of. ihe cahvJrtat on:.'-_lst. cue t o the,, test spezcimen of 303 Ss and a fi loss of 09 ig due to the'............ ztt''1hti!os,7 ~.. 5 secostids ocsn a;est sp ecimen o-;0'i0 e tn.steet, (.-ee tcl..........h.rcl,-,i', ) s~j~ tO~iO ca._~t~t~b ~~~cf g~,~~.~ pcrxas as listed in Table I, T'wo Cp.tik.L.-cxt 9..2 o h"#'ei7Jedw, toi J.3., f'orllo-tn tij d uq pF'wF~snl t Li w.reatig, Fatio a,pceLz z fl tS nvt@i-gatt.ag to ae -ffect of ra.~te of loading on byJ ssl3id;. or li"3quid: inpva&t, bu-t g moasall ts3imilar it aspeaanrcti to o~ thSe sptectrum of possible leading rotes of inte-est (ca tationi

beean inrestigated as o: —zt)sod t*he p-'at p~px -rb Io,-1Q.g rate Rexeonenl;s.O..d e abeompisAhed..s. os d-os op S0sid partiClo.-S -"- ho Oh iTmpa iJ.)'G ay ccld be cosntrolloed, Masuring techmiqc.,s.would inc.ltude hi:Lr-zs e s m-o i.o;c..c5,tureso and surface nt ale?.y S.2, ztEeve~sl hrbloea __2aCs ea-n~n, dss Bubble d-~.1Sm-1 i s a'ria s W-sr*, ~erm.zy in Coniection wizth t#haU rxesrt investOfi gat.io:a ai4 d a_.so the:':d aay-lese o t:hr,^o-C-.,G,.,.,..l 7,,,Sz tpecd be a,_l. LI'Zo aret,iC ae - ConsfsttO:, papX s>6iwit odes ae thes AA.fol ilu t.... ~cap3te ar O asro fed o 4by tng Liqt.s" " dolts fit,t s...l.d ar:t.c].es and iarelso by O osio d ts. i t is pos:m" tclosel t,~he Wc~j'-u~% ~-' r'~Js t l:.ni; $ tlTO o El c t u,,, 1me Ym te, ri s meo fab'1 ~1 7. 1 GLO "2~ 5 C~~sO5 ~... t..s feltd Cati ies rost i- y pts pd e" -omby semi - Psaper a> e'; as a ia_, i~no' "to.os Ping, it was'-Uovein fiprom al -he cavitation craters ob-e jed duricng. the paeseolt in v esgation. nd bfrom pit:s c.. Ied yposble s..~.

. s....., dL I.:. tmi e s4S _Ii) S3igrIicast niew. in0, t,;:r~c, rrding,t th e rchn'sv,,,;O rates of load:..gLr on mate-Ral displacement s aa.l v-ol u me a,..leaa... aso Io pe~n- ps'by c~ri,~a',' ~-L',m...,cs.s " ses, ai<, ocCit.; tia2~o on rnuer -,, e nd a s...s c -,. an ial oresss wlltho (n observed maateria] dqq'n'ace;nen^,-ro:n:r.d acoaai pitst p voT The sbn- eoit ra., 5 eeld';' f.ro zndivid'o2~i p'd;.:ai probably ex'tends as ~ a-' s a r,:, d" 5' ~',vtc- ~rn hne e:-i- tz of a era"ber-I-cy

#4 4' * J 7d.C ~tlt tv 6 s ox g 5 t* x ~ a ~ ss o;';- 4nf.enal1.ndito,!2s" As' B ~~ hifraulics Dis.sion Pap.r. 5$.Ao (Dec0, CIE3t Po-gt F G B Ob3; gxvat7CZ~I an Ca'teaz aon.ag i " n i., +' P rr * AFa. ~,7:- u R ~b o 00424-..,.~,,,,Paper., NcMxen9 —; vul a t C-1-w iv 9e t a C 19. es 7a4ta'e tai v I-SA,"th elifLx" -r n z.....z'Lb I vr,0,;A a... A.pV....g-V. oa2 W 19) 7 4Z 2 2% 3= 1t77tt t I t e?4S * C r 4::.J J-,,,. ". I - V,7.....'"t~ t F,, Cb "Tshe, et- rv- o tiCcu- ase or a Rulb 34t'sl of T ez, 15apartmenot, Y, ity of Miwchigan, (Apr11pr9g H162)6X a.. or2 Jn:::i9pc~i tIV 3-he Pressure DiUveloped' i qn L atcdc Ttwi E9 siel r a S pher'c,1 Caviy0?C Pag; SC1 Vo& 34 t 2~3 ~eaR, W T he G r oath - or Coallmpse of a Sphica. Bubble ti r ~.acfl'za oa-, pressibxo LiqttidU 1952 Lieat a.'sfer anid P1quA. - cu.:.....I.U szt- to Sanrd Ua iva PPrcss a. d eHydrodynm ics eLab. Report, Nte, % t-Fl In lstp. ox 197 e. C a I 9 t&yn, IXH Go'- Uh11apse of a Thansi~emt -cvit.i in a Comxpressib.le' A:U,: I Part I, An Approximate Solution, Tech. Memo. No. 38, 1R-014-903, O.la March 1957.. n i.-t;, R and Plesset, It 5, e j o Pllae js o' a S ph er cal i2,...11 v.akcS i9qt, iati$r o c L ot B;rzs~ Cr 1963 ~ *b I;,I F ort, SC ao O T- v3 aa r C..31,,,-e, C% 4a se Cfektc,,,z 9 6 -1, A- T, "A m ufoo l A rt v ceeo,..u Dg a are gbev'-' 4I:ic Mze ld, in. CyIlvndrjcBF;. G,saz t, CISg -'y. S C C,`....', (S 195:5) 913 1" I Z';,70 7?* Ni ifo,, f,,. tthSablyofthe -oseeP~,, $S a, d Mithe'11 - P. " a t+he Stablhity of' the S>p'..... ft' 0 F nef ~fl3 a Abqu'do r1atl 479Lth. 47''....... 11 " pr~~~ (Jani lo-',~tOI.... D'~ )o o)vt -Pa~eg%}(sl15XX(kc o3

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