Boundary Lyer Theory

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402 XIV. Dounclery-layer control 1.2. Exact solntions. In order to solve the coupled pnrtinl difFcrct~tinl cquntious of the parabolic typo we Iinvo, nt. prencnt, nt our disposal n variety of riumerical methods [97, 421 as well es fast rleot,ronic comptitcro. With tho aid of thcoo, it. ~ RCOI~RR po~~ibh to obtain ahnost nrhitmrily close npproxinint,ionn to the cxnct solutions wit.11 n tolernhlc expenditure of Lime. The properties of the Iluid can be conccivcd as qunnt,ities thnt vary with position, nnd nrbitmry boundary ror~ditionn cnu IIC 1)rencriberl. It is posnihle t,o obtain similnr solutions if the external velocity, the blowing velocit,y, n.s well RR tho temprnturc on t11c wall, arc prescribed in n dcfinitr: manner. In ouch oases, the sy~lmn of 1mrLiaI diffwc~itittl oql~:ttion~ rednccs to n ~y~t.c~n of ordinnry clilTcrcntinl equntionn, nnd tho Inlhr can 110 inhgratccl nun~cricnlly. T11t:ro exist such nunioricnI rcnulb for incomprenniblo wedge-llows (inclusive of shgrintioii flow [102,29]), comprrmihle flow over a flat plntc nL zero incidcnm, nntl oupr~onic boundnry Inycrs on wcdgeo and cones [IlO]. 'l'lw diagram in Fig. 14.21 illuotdr:s, by wny of cxnmple,th Inminar vclocit.y, tempcrnt,urc, nntl conc~iit~rntion boundnry layor on n cone with l~clirrm injection. A tnct.liocl tlcoigncd to cnlculnte Inminnr, hyporsonir, hinn.ry-mixt,ure hountlnry layers wns givnn by ,I. SLei~~bcuer 101 J who npplicd it to t.he exan~ple of cooling by ablation with tho mid of pyrdizing tollon. All of tbo numcricd ralorilnt,ions montioncd RO far neglect the brnms which stern from thermal diffusion, that is t.hc terms which hnvc bccn undcrlinctl in eqn. (14.32). Sucb n simplification is aonwtimcs pwmi~siblo RR far nu tho compuhtion of nkin frictiou and hcnt-trnnnfcr rnto in rouccrncd. Expc?ritncutn show that LIIC eqnilihrirrm ternpcrnt,c~ro on an ndinbntio w~rll docs not clnnronrro ill the prrscnce of thcr~rral diffusion, but ~:ilcuIntions bnncd 011 thin nin~plificd ~(:IIOIIIC nlwny~ predict ouch n tlcrrrasc. I':xact, (::rI~:~~I:i.t.ion~ on t,~~-suhnt,nnr.r. ho~tndnry layers wbi(:b occ11r ill flows with ovnpornt,ion or ~11llli111ntio11 ~)rcsrnt. 11s wit,h wm~idrr:thlr diffi(:~~lt.ic~.'l'I~cclist.ril~~~tio~~ of vclority oFt,hccvsjtornt.illg nl~l)nLnn~:c (i. o. of t.11~ velocity of blowing) :tnd 01 IonipwnLurc ttt tbc phnnc houlidnry in L11c flow clirootioii c:nn no longar hc prrncrihctl ;wbit.rerily. I111lh di~t~ribut~io~is :brine s~)011tn11C011~~y nl n r=qult of thn coupled bent, nnd Inwa Lmt~sfcr and ncit,hcr is known n priori. In this clolnain, W. sl~lctkton~nrr [00] calculntcd n large number of solutions in wbich tbeevnporation rateas well :m t,l~o lodly snlinfirtl energy hnlnnce Imvc I~mn evnl~~ntctl on tile basis of' eqn. (14.53). F. 1':iofcld 1211 lmblinl~crl solrit~ions for flow of binnry inixt,weo tht n.risc in the prcne~~cc of t.hc nclinl):tt.ic: c~n~~~r~rtion of n lilm of c:trbon tlioxitlc wit.11 n specinl n~st.hemnt,icnI form nssumccl for t.he law of ovnpornt.ion. 111 thin work, he dincovcrrtl t.Imt t.he proccm of ntlinhntir. cvn.pornt.ion of n plnrw film lc;uls to self-similar solutions,~/. (hp. VIII. 111 snc11 cnnrs, it t.~lrns outl t.l~nt t.11~ locnl rtrte of cvnporntio~ niurt follow n l/~z-typc Inw. Thin in tho tlintrihntion of Lbo normnl vc+n.it.y ill owt~i~n or blowing on R h t . plii.t(: id m:ro inri(lr~~(:c h t Irndn to wlF-similnr soI11tionn, nn il111slrnt.ccl in Vig. 14.12. :I'lw t,~n~~icritt~~~rc 1111d wn~~~~tr:tt.ion nt. 1J1c snrfn.cc of 1.I1o lilm turns out, to he uniForm. 1.3. Approrimate mlutions. Jt in possible tn simplify t h problrm hy nsquming I.hnt thc rrntdt,l numhrr, P. rrwl Lbn Srhtniclt, nt~mhrr. S, -- v/l),, nrr oq~d to u11it.y :d Lhnt the viscosity i~ n linenr funot.ion of tr:mpor:th~rc. With t,l~cno nnnntnl)t,ions, C. It. k'anldcm 1251 onlculnhd the sbrnring ~ tmw nL Lbc wnll wl~cn n light gw is injcctcd: lie co~~ni~lcred C ~ C R of vnryi~~g motcculnr nmw ratio wilh rrspr.ot, tn) t.lto II:L.C g.1~. More grncrnl rnncs 01 oxtcrnnl-velocity n d it~jecl~io~lvr1orit.y clist.ribut.icmn ran IIC nn:tlyzrd with 1.11~ aid of the integral cquntions [log]. Rrfcrrncea 403 [I] ~Ickerrt, d.: Ihs Rotorsrhiffund sritic physiknlisch~ (Irnncllngcn. Vn~~drr~l~ot.ck 1111tl 1{11y. precht. Got tinnrn, l!)25. [GI htro~;, .I.R., and Scot.t, P.E.: Some rnnns t,mnsfcr rcs1111~ \vit,I~ exter~inl ~Io\v II~~RRII~C gradientan. JASS 27, 025 --ti26 (1 9W). 171 lktz, A.: 1)ic IVirkungnwaiae von ~mt.crtoill~en I'liigclprofilc~~. Ilcric:l~t.r IIIIC~ I\I)II. Winn. Gencllnrhnft f. Lnft.fnhrt, No. O (1922); NACA 'I'M 100 (1!Y!2). [a] Uet.z, 8.: 13eeinflurwung dcr Itciburig~scl~icht und ihre prnkt.iclcl~c \'crwcr(,~~~~g. Svhrift.ct~ tlt. Akad. f. Luftfnlirtforscl~nng No. 49 (1939). [!I] BeLz, A.: J1intor.y of bonndnry lnyrr contd rescnrch in (:c:rmn~~y. 111: I%o~ctl&ry I;~~vr rrlltl flow cont.rol ((:. V. Lnclirr~nnn, cdj, 1. 1--20. Imnhn 1001. [I01 Ilrnnlow. A. I. .. I111rrown. I). I,., 'l'ol.(:rvi~~, N., ILII~I Vin(:o~~I.i. I?.: I ~x~II.~~III~II~.~I.~ IIII,~ t.l~(:ot.t:(i(:~~I stritlic~ of nrm sriction for the cont.rol of the laminar bountlnry laycrr. NACA JLcp. 102.5 ( I!)51). (1 11 I3rown. 15.: Exnot solr~tionu of the In~ninnr bountlnry lnycr cquntionn for n ~~oronn 111rr1c wit.11 variahlr fluid ]~rol)erties nnd a. prrssurc grarliont in 6110 rnniu utren~n. Proc. I'irnt US Nut. Congr. Appl. Mcch., 843-852 (1951 ). [I 21 Ilrown, Mr. 11.. nncl J)or~oughe, 1'. L.: 'J'nblo of cxnct ltiminnr I~ountlnry lnycr uol~~t.iona when the well in porouu and flttid properties are vnrinblc. NACA '.L'N 2479 (1!)5I). [12n] Cliang, P.K.: Control of flow scparntion. IIernispliere I'ublisbing Corpornt,ion, \V:~nl~ingto~~ 1)C (1976). fhrri&o, 1':. and Eirhclbrct~ncr, E.A. : <strong>Theory</strong> of flow rm.l.trrchrr~ent. by n tnngc~~t.inl jrt, dinclinrging ngninst n ~t.rong adverse prcns~~rc gradient. 111: Jhdtrry 1:rycr 1tnt1 Ilow (:ontrol (G.V. I~ncbmann, ed.), 1, 200-231, London, INil. Clnrkc, J.Ii., Xlenlres, H.R., and Idbl)y, I'.A.: A provinionnl nnnlynis of turhulcnt. ho~indnry layers with injection. JAS 22. 245-200 (1955). Curle, N.: The catirnetion of laminar skin friction including clTcctn of tlistrih~~tcd nuct,ion. Aero. Quart. 11, 1-21 (1900). [10] Culick, F.E.C.: Integrnl n~cthotl for c:tlculnting hcnt and mnnn Lrndrr in Itiminnr ho~~nclnry layers. AIAA J. I , 783-703 (llK1). [I71 Dn~menhorg, It. E., nr~d Wciberg, J . A. : ISlTcct of t,ype of porons s~~rf:tc:o nntl suct.inr~ ve1onit.y d~stribution on the chnracteristics of n 10.5 per cent tl~iok airfoil wit,h area sl~ct,ion. NACA TN 3093 (1953). [la] von l)oenhoff, A. E., and Jmftin, LIL: PrescnL stntns of 1rscnrc.11 on bormtlnry lnyrr rontrol. JAS 16, 729-740 (1049). [In] I)ot~ooglw, P.L., and Livingnod, J.N.R.: Exact aol~itionn nf lntrriinw boi~ntlnry Inycr rqmtions with constant ~ropertv . - " values for porous wall with varinblr kmnrrnt.urr. NACA llcn. I229 (1955). [20] I)orrancc, W. H., arid .Dore, F. J.: Tl~e clTcct of maw t.mnnfcr on t.l~c romprcsniblr t,nrhulent, boundnry lnyer skin friction nnd hcnt tmnsfcr. JAS 21. 404---410 ( 1954). [20n] Rckcrt, JC.12. (:.: 'J'hcrt~~otly~~n~)iiscI~c I
404 XIV. 13oundnry-laycr control References 405 1251 Ihnldrrs, C.R.: A notc on 1;irninar Inyrr skin friction under the influence of foreign gnn . . injnction. .JASS 28, I(i6 - 167 (I!WI). 1261 Ihvrc, A,: (:ot~t,ril~~~t,io~~ h I'6tude expi:ritnent;rle des mouvetnentn I~~drod~narni~uesbdcux elitncnsie~ns. 'lXhesis Univcrsit,~ of Paris 1!1:38, I-- 192. [27J I~lnt.1, .I.: 'I'hn I~isLory of boundary Iqycr contxol rcsearch in the United Stah of America. In: Honntl:iry I:ivcr and flow control (G. V. I,achm:um, cd.), 1, 122-143, London, 1961. 1281 l?liiecl. (:.: l~r~e:l~nissn BUR dem Sl,ri~~nl~l~g~itlstiL~~t dcr 'I'eeltni~~l~nn 1~0chschnl~ T)anzig. .Jb. ' ~ch~ff1;arrtcc:h;;. (:csellsr:ll:ift 31, 87 -- I l:f (l!)RO). [2!)] Fox, H., and I,ihby, P.A.: Ilcliu~n injection into the boundary layer at an axi~~mtnetric stagnation point.. JASS 29, 921 (1962). 12!ta] (:C~RI.CII, I
Page 1 and 2:
McGRAW-I4ILL SERIES IN MECHANICAL E
Page 3 and 4:
vi Contents CIIAPTEII V. Exnct ~olu
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Y Contents A " I XI X 'I'lirorrt.ir
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xvi I'orcworcI Thc result was t.11~
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From Author's Preface to the First
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the aid of thorctical considcmtioti
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even in fluitls wit,lt vcry srnall
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10 I. Or~llinr of lluicl rnot,ion w
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The vclwil y IL at some point i11 t
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Fig. 1.6. Firld of flow of oil nho~
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22 I. Outliric of fluid motion with
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2 (i TI. O~~tlittr of Imun~lnry-lsy
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Fie. 2.511 Fig. 2 .5~ Fig. 2.5b Fig
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S - point orscpnrnt.ion T'ig. 2.12.
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3 8 \ Y?\ If. 011tli11e of boundary
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42 11. 011tli11e of Iw~~ntlnry-Inyr
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[:j2a] I?o~cilhrntl, I,.: Thr forn~
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50 111. l)crivnt,ion of thc cquntio
Page 38 and 39:
Fig. 3.3. Tmcd clintor1,ion of flui
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of flltitl is strcsscd in thrcc nlu
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1:i~ 3.8. Qltnsintzt.ia cotnprrssio
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66 111. 1)wivntion of the eqnntions
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CHAPTER I V General properties of t
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74 TV. Gencrol proprtic~ of tho Nov
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Ilcre v, c, :tntl k tlrnol,c 1.I1t:
Page 52 and 53:
conclil.ion (4.14) plays n part wl~
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86 V. 1':xact solul ions of tlir N:
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90 V. ICxnct sol~ttion~ of tho Nnvi
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94 V. Exnct sohltiono ol' tho Nnvic
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Table 5.1. Functions occrtrring in
Page 62 and 63:
11. Flow taenr n rotnting disk. A f
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106 V. JCxact solutions of the Navi
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cnu bo npplirtl nt mont, nn fnr RS
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114 VI. Vcry slow motion where r2 =
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1 I8 VT. Very slow motion r. 'l'l~o
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122 VI. Very rrlow motion ext.endcd
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126 VT. \'cry slow rnot.ion Part B.
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130 VII. Boundnry-layor cquntionzl
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'1. Skin friction \VlIat1 t.11~ I)o
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138 VII. no~~ndnry-layer cqnntions
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142 VII. Hor~nclnry-lnyrr rq~~ntii~
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146 VII. I~o~~ntlnr~ Inyrr cq~~ntio
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CIIAFTER VIII Gencral propertiee of
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164 VIII. Ccnernl propertic8 of Lhe
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158 VIII. General ppropcrtics of th
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VIII. General propertien of the bou
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'I'his c.quat,ion Lmnsforms into t1
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170 TX. 1Sxact uolutions of t.ho st
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174 TX. Exnct ~olut,ionu of tho sto
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178 IX, Exact solutions of tlrc ste
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and t,llc? clnsh now clet~otos tlil
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1 86 10 0.8 0.6 0.4 0.2 0 -0.2 -0.4
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ccnt,rred nt, (m -1- 1, n). 1'110 t
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194 IX. Jqxnct eolutions of thc stc
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O~l:cr ehnpw: Second-order cITcetls
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202 X. Approximate rncl.hoda for st
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206 X. Approxitnnte rnct.l~otls for
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210 X. Approximate mcthod~ for shad
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214 X. Approximato mothotls for sha
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218 X. Approximntn met,hods for shn
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222 X. Approximate methods for stea
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220 XI. Axinlly symniobricnl nnd th
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230 XI. Axinlly symmctricnl and thr
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23.1- XI. Axially uynimet.rira1 nnc
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the two wries expnnsicws for sin (%
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242 XI. Axially nymmct.riral and tl
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in cross-flow, tlrprntls only on lh
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250 XI. Axinlly nyrnmet,rirnl nntl
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XI. Axinlly ~,vn~n~et.rir;~l nnrl I
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258 XI. AxhIly syn~rnrtrirnl nncl t
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. . lit 1 h1:lgt.r. '1.: 'l'l~idc I
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206 XIT. l'l~rr~nnl bo1111r11iry ln
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270 XIT. 'I'l~rrtnal boundary layer
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can I)r rct.ni~rrvl in inrotnl~rrss
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if wc: pillf - - 'I1, - (A7'),. 11,
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Rotntirig rli~k: (:II:I~I. V, in pn
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286 X11. 'IY~rrrr~al bo~~ndnry laye
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290 XlI. Tl~rrnmal boundary layers
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with 0,' -. () at, r] - 0 and 0, =
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2!)H XI[. Thcrn~al bor~nrlnry Inyrr
Page 162 and 163: 302 XJI. Therninl boundary layers i
Page 164 and 165: 306 XII. Tllcrrnal hor~ndary layers
Page 166 and 167: 310 XJI. 'I'hcrmnl boundnry layers
Page 168 and 169: 314 X11. Thermal boundary laycrs in
Page 170 and 171: 318 XIT. Tl~crnial bonndnry layers
Page 172 and 173: 322 XII. Tl~or~nnl I)onndnry lnyers
Page 174 and 175: 326 X l I. 'l'l~crn~nl hounrlnry ln
Page 176 and 177: 330 X[[1. lmninar bor~ndnry lnyers
Page 178 and 179: 334 XIIT. Lnrninnr 1)oundary laycra
Page 180 and 181: 338 XI I I. Im~linnr I>orirtclt~ry
Page 182 and 183: 342 XI11. Tmninnr Imlndary layeru i
Page 184 and 185: 346 XI 11. T,ntninar I~or~nrjary hy
Page 186 and 187: 350 XIII. 1,mninnr honnclxry lnycrn
Page 188 and 189: 354 XI 11. 1,nminnr h~nrlnry 1:ryrm
Page 190 and 191: Fig.. l3.16. In 13.18. lain~innr ho
Page 192 and 193: a Intninn.r l)out~rlary I:~.ycr, bu
Page 194 and 195: 1 I Itc vnriolts c4Twl.s ol'sl~oclt
Page 196 and 197: 370 XIIJ. I~tminar boundary layers
Page 198 and 199: \'all I)rirst., 15.11..: 'l'hr prol
Page 200 and 201: CIIAPTER XIV Boundary-layer control
Page 202 and 203: 5. J'rrvrntion of trauaitinn by the
Page 204 and 205: frorii th; 1c;ulitig rxlge! (l3l:wi
Page 206 and 207: 390 XIV. Ilo~~n~lnry-lnycr contml F
Page 208 and 209: . - v, (x) =cons/ Fig. 14.14. 1,ant
Page 210 and 211: invc?st.igai.ctl. In this msc too,
Page 214 and 215: Ni\('A 'rM !I74 (1!)41). 1861 Sinli
Page 216 and 217: 110 XV. Non-~teldy bortndnry layers
Page 218 and 219: 414 XV. Non-st.cncly hour~tlnry Iny
Page 220 and 221: 418 XV. Non-slmrly l~orrnclnry Inyr
Page 222 and 223: 422 XV. Non-st,cndy hoixnd~ry Inycr
Page 224 and 225: 420 XV. Non-nl,mdy Fig. 15.58 Fig.
Page 226 and 227: XV. Non-utcncly boouclary lnyers wh
Page 228 and 229: 434 XV. Non-stcxcly boundary layers
Page 230 and 231: 438 XV. Non-atcndy boundnry inyer~
Page 232 and 233: 442 XV. Norl-st,aady boundary Isycr
Page 234 and 235: 440 XV. Non-st,rndy ho~~nclnry laye
Page 236 and 237: 450 XVI. Origin of tnrhulence I pyi
Page 238 and 239: XVT. Origin of turbulcncc I n. Some
Page 240 and 241: 458 XVI. Origin of turbulence I b.
Page 242 and 243: 462 XVI. Origin of tnrb~rlmcc 1 num
Page 244 and 245: 466 XVi. Origin of t.r~rhr~lrncc 1
Page 246 and 247: 470 XVI. Origin of h~rlwlcnce T I R
Page 248 and 249: 474 XVI. Origin of l,t~rl~~tlct~rr
Page 250 and 251: 478 XVI. Origin of I.rtrb~tlmcr 1 t
Page 252 and 253: 482 XVT. Origin of tmbulcncc I c. E
Page 254 and 255: 486 XVI. Origin of k~rbulenre I 148
Page 256 and 257: 490 XVII. Origin ol t,urbulencc 11
Page 258 and 259: 404 XVII. Oriein of tnrbnlencc TI F
Page 260 and 261: 498 XVII. Origin of turbnlmco II t,
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Tlw tlisl.nr~cc Iwt,wccn the point,
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c. Efict of ~urtintl on trnt~nition
Page 266 and 267:
510 XVl I. Origin of Idmlrnro I I '
Page 268 and 269:
514 , XVII. Origin of turbulence 11
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518 XVI I. Origin of turhr~lcncc 11
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on the bnsis of t.hc tl~corct,ical
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626 XVII. Origin oI t.11r011lonco I
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630 XVII. Origin ot t.~~rhr~lrncc J
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XVII. Origin of t.urh~~lencc TI 7 !
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638 XVII. Origin of t~~~rbnlc~~rr I
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\vi(,l~ a (-ylit~(lw envcrv(1 wiI.1
Page 284 and 285:
646 XVII. Origin of turbulence TI F
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550 X\'ll. Origin of t,11rh111rnrc
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554 XVII. Origin of t,rlrbuloncc TI
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558 XVITI. Fundamentals of tr~rbule
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562 XVlI1. R~nclnmont.nIu of tur1)u
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The corrrlnt,ion co~ffiricnt~ y~ ra
Page 296 and 297:
670 XV111. I'nntlntnrt~t~nlrr of tt
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574 XVIII. 1'undnnient.alu of tnrl~
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CHAPTER XIX Theoretical assumptions
Page 302 and 303:
682 XIX. Thcoroticnl wsltmptionu fo
Page 304 and 305:
586 XIX. Throretical aaotin~ptiona
Page 306 and 307:
5l)O XIX. Tl~rorrt,icnl nmumptions
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594 XIX. 'rheoreticnl nssornptions
Page 310 and 311:
698 XX. 'I'~~rl~ulrnt flow f,lrro~~
Page 312 and 313:
602 XX. T~rrbulcnt flow thro~tgh pi
Page 314 and 315:
606 XX. 'l't~rhl~lc~rit flow thro~~
Page 316:
GI0 XX. Turbulent flow throngh pip
Page 319 and 320:
Icror~~ ()I(, phj.sic*:~l ~)oint. o
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620 XX. Tnrbnlcnt flow tlvough pipe
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dimensions Fig. 20.26. 1tc.sist.anc
Page 325 and 326:
628 XX. T~lrbnlmt flow through pipe
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632 XX. Turhulcnt flow through pipc
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636 XXI. Td~nlcnt houndnry layers a
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610 XXI. Ttrrbulent bor~ndnry layer
Page 333 and 334:
644 XXI. Turbulent boundary laycrs
Page 335 and 336:
048 XXI. Turbulent boundary layers
Page 337 and 338:
652 XXI. Turt)~~lcnt houndnry layer
Page 339 and 340:
656 XXI. Turbulent boundnry layers
Page 341 and 342:
660 XX I. Tl~rhlent bo~~ndary layer
Page 343 and 344:
664 XXI. Turbulent boundary layers
Page 345 and 346:
CHAPTER XXII The incompreesible tur
Page 347 and 348:
672 XXll. 'l'llc incon~prcssiblc tu
Page 349 and 350:
070 XXII. Tlic incompreaaibto lnrl)
Page 351 and 352:
FRO XXII. Tho incornprcs~iblo turbu
Page 353 and 354:
684 XXII. 'Yhc incon~prcssible Lnrb
Page 355 and 356:
688 XXJI. The incon~prcssible t,urb
Page 357 and 358:
002 XXI1. Tho inro~nprc~sil~lo tt~r
Page 359 and 360:
is prol)nt~t,iot~nl to the rnclius.
Page 361 and 362:
lf$8] Mucsm:tnn, 11.: Z~~snrntncnhn
Page 363 and 364:
70-t XX I1 I. 'Ihrbulcnt bonrwlnry
Page 365 and 366:
708 XXIII. Turbulent bonndnry Iaycr
Page 367 and 368:
712 XXI 11. 'I'~~rl~~~lemt bo~~ntln
Page 369 and 370:
716 XXIII. 'I'urbr~lcnt bor~ntlnry
Page 371 and 372:
720 XXIII. Turbulent boundary layer
Page 373 and 374:
724 XXlll. 'rur1)ulcnt boundnry Iny
Page 375 and 376:
[04] Smith, P.D.: An integral predi
Page 377 and 378:
732 XXIV. Frcc trtrbt~lent flows; j
Page 379 and 380:
700 XXIV. Prrc tr~rb~tlent flowa; j
Page 381 and 382:
Neglecting u12, we obtain XXIV. Prc
Page 383 and 384:
744 XXIV. lhc L~trl)ulcnt Ilow~; jo
Page 385 and 386:
748 XXIV. Free turbulent flowa; jet
Page 387 and 388:
762 XXIV. Frcc td)ulcnt flows; jcta
Page 389 and 390:
756 XXIV. Prrc torbulent flows; jet
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760 XXV. DotcrminnLion of profilo d
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764 XXV. I)ot.crtninntiotl of profi
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768 XXV. Determination of profile d
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XXV. 1)obrlninalion of proRlo drag
Page 399 and 400:
776 XXV. 1)ctormination of profile
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A. Reviews organized in serial publ
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784 Bibliography Sherman, I?. S., I
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Clementa, lt.R., and Mad, D.J.: The
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792 Bihliography 13ird, R.R., Slewn
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Oswatitach, I
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H:I:IR, 11. 776, 777 Ilnnsr. 1). 62
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Scl~crb:trl,l~, I
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805 811bjrct lntlrx 209, 354, 385,
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812 Snhjcct lntlcx - vorl.irrs 526,
Page 419:
List of most commonly used synibola
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Boundary Lyer Theory

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