Mnnglor'u trnnsfornintion 245 nmsn conscrvnt,ion 47, :)!I9 nicnn motion 557 ~netltotl of indires 14 niinin~otn s~~ction see suction von Miucs trn~~sfort~~~~t~i~)~~ 157 mixing aocflicicnk sec wldy cor?fIicicwt2s -. lengtlr 3, 57!), 582. 604, 715, 730, 751 -- --, niodificd 731 -- - throry 582 n~ornent see torqno nio~nentnn~ eqnilion 175, 201, 20(i, 441). 758 - intcrpral eqntrl,ion 158, 160, 201, 20(i,:353, 355, 392, 671, 672, li75, 678, 723, 704 -, kinemiltic 182. 252 - method 677, 678 - thi(.knms 141, 160, 177, 202, 209, 353, 354, 385, 637, 673, 764 --, trnnufcr of 40 nmtion, erpntion of 47 NACA norofoil ROO, 502, (i!)l, 707, 771 Nnvicr-Stokm equntion 1. 44,47,04, 70,84, 320, 561 .. - - in con~prtwil~lc flow (M nentrnl utnl)ility rnrvr 4lil, 4li!), 470, 47 1, 472, 479, 4!)2, 493. 507. 530, 534 Newt.oninn flnid scr flnitl, Newtonian Newton's law of friction 7, 26 - Srrond Lnw 48 no dip contlit ion 5, 20, 72 nnincricd rnrtl~otl 187, 219 Nuuurlt nnnibcr 275. 296, 708 orwin c~rrrcnt~ 5 I3 Orr-Sotnrncrfeld rquntion 459, 400, 462 onnillnlions see tlisturhnnms, tnctliotl of sn~nll; pcriotlio flow; I,ountl:iry Inycr, lwioclic oncillogrnn~ (t,~lrl)nlent. tlow) 452, 477, 4!)1 Ouccn's in~provcmcnt 1 I5 11"rnflox S/!C d'Alrn~l~rrG'u ~ ~ R ~ ~ I ~ O X I1i:clct nnrnl~nr 273 perfect gas 10, (M, 267, 271, 327, :$!)!I, 705 pcriotlic flow 41 1. 428, 432 jwrt~trl~~~liot~ 413 pipe llow .we rrlso inlett flow; nnnulrrr effect; rcsinl.nnce cocflioicnt,; rcsistnnce forlnul:r - --, curved (i26 - , inlct 92, 241, 560 .~. -. , len~inxr 1 1, 12, 85. 92 - - , nonnhirtly !)2, (Z!) - --, osr:illntjing 436 - --, st.nbi1it.y of 542 - . , st.nrl, of tnot.ion !)2 - - - , tmnd itin :)!I, 44!) -- --, turhnlcnt 13, 39, 85, 449, 544, 59(i I'il.ot tmverse niethod 758 plntc ace flat plate ---, rongl~ (i5 -- t.I~ern~otnctcr 286, 333 pint of inflexion 132, I65 -- - -- witcrion 463, 4!10, 514 - - i~int.nbility 41i2 .- - tannnit,ion 462 I'oincnillc llow see flagen-I'oiscr~ille; see nlao pipe flow, I:w~innr; ~~olyn~cr KIO pl,ct~ti;il flow 71, !)ti, 128 power law (117-tlt) R!W, IiOO, 637, 648 I'rnntltl IIIIIIII)~~ 26!), 273, 274, 283, 289, 330 - --, ttn-hnlcnt 706, 708 Prtu~tltl-Scl~licl,Li,~g forrnuln 641 I'rnntltl'n pip rcuiatnncc law 01 1 pross~~rc 51, GI - diulrilntt.ion 2, 20, 21, 22, 40, 114, 117, 122, 49!), 504, 770 -- drag see fortn drag - drop 12, 37, 92, 241, 596, 612 -- grnrlicnt 33, 132, 206, 340, 456, 463, 48!), lili8; see nlso wetlgc -, t,l~ert~~otly~~~it~~it: 51, GI, 03 pri~~cipal axcu 57 prolilc dmg sect ctmg propeller 6!)4 propcrl.irs (L:rbloa of) 8, 9, 269, 662 ])rotlr~~nion we rougl~ne~ rnrcfnc:tion wnvc aer! expnnuion fnn Il:iylcigl~'u eqnntion see Lord Ikyloigli's cqnat.ion -- ll~rorcn~~ see J~wd Jtnyloigl~'~ thcorcrnn -- prohlcm me Stokcn's first prohlcm rc:il gnu 327 rocovcry fnclor 355. 713, 714 rcfcrrncc tr~npcrnture 715, 716 rcsisltrnce see drag - cocfficicnt. (of pip) 12,86,507,607,012, 613, 617 - fimnuln (RIa.Ui11s'n) 597, 60, 61 1 - - , nnivcrunl 609 rcvcrnc flow 2,25,28,85, 108, I2 ; see aho ucpnrntion rcvc?ruil~lc proc:csu 62 Itcynolds nurnbcr 12, 14, 72, 128, 150, 772 - -, criticnl 3. 461, 480, 514, 573 - - , - (ncrofoil) 490, 500, 502 - -, - I(cylir~tlcr, upliere) - -. - , ( IMI~) 37.80.450 173 - - effoct on loss coefficient 772 -- -, retlucctl 117 - st.re.wcs 559, 703 lteynolcls'o analogy 286, 706, 707 Subjrct Index - --, extended 709, 710 - dye expcritnent 12 -- cq~tnlion of Iubrir:~t,ion 121 - principle of siniilnrity 12, 70 llichartlson nutnbcr 512 Il,ich:irtlson'u nnnul:ir effect 438 rigid-l~orly rnt:&ion 55, 56, 57 rotnting body 242, 005 - flow 225 r~llg~lll~~~ 530, 619, 624, 652, 712, 723 -, tirltnisnil~le li57, 660 --, tlistril)rrt~cl 540, (iR2 -- clcn~cnt, 537, 655, (M!) - hctor (i 1 (i, 152 - height,. rriticnl 537, 663 -, l~ydrnnlicnlly sn~ooth 016, (I50 -, intmn~ectinto rnngc (transition rcgitnc) 537. 617. 622, 650, 713 -, rrlntive 015, 652 -, stnntl:~rtl 623 slat 380 din ti ulippcr (of hmring) 11 7 slit 6H!) . solidit,y rnt,io 7110; see nlso c:nswtlc flow sound velocity scc Mnt.11 IIIIIIIII(-~ specific lieat 269 spectr~itn see freq~~onc-y spcctru~n qil~cro 17, 10, 21, 25.4'2, I I:!, 237. 243. :)20, 42 1 spots aec tnrl~nlc?nt npotu sqnnlinmn 557 st.nl)ility rquntion aec! Orr-So~~i~~~~~rf~~lcl I~II:~. tion - - , frictionlc~u 462 -- , li~nit of 460, 4!)7, 502 -, neutral 4G6; am nlso neutral stnliilit,y cnrvc - t.l~cory 3, 451; stngnntion en( l~nlpy 3533 sand ro~tghncss 615, 623, 654, 663 - ---, eqt~ivnlrnt r,23,(i54; ncertlaoro~~gl~nrsn Srhlic:rcn !ric.t.nrc 320, 3(iO, 363, 364, 3(i5, :w :IW Scliobnucr-Skm1114tatt cxpcritnent 470 sccontlnry flow 102, 226, 230, 248,428,431, 432, ($12, 613, 626, 644, 657 - flow, tl~rce-tliti~cl~uiot~nl 100, Ili5, 250 - -, two-dinicnsiot,al 33, 35, !)5, 0!), 156, 165, 214, 250, 252 - lonpcrttt.~~ro 208, :I% st,~intlnrtl ~01lgllllt~~U sec mugl~nrsn 1 1 n r ~ ~ i v tonfirti r i li72 Stnn1.011 IIIIIII~J~~ (is!). 708 self-sitnilw solutions see bonntlnry layrr, siniilnr nntl aclf-uiniilnr solutions sen~i-sitnilar uolutions 415 ucpnriition 2, 25, 28, 33, 43, 131, 152, 172, 215, 220, 243, 253, 254,258, 259, 382,378, 417. (Xi!), 674, 687, 769 --, prevcnt.io~~ sec honntl:rry-lnycr control sl~tipc f:lct.or 208, BO(i, 4!l2, 675, 678, (i79 - .. , ~notlific~l 674 slic?xrin,q s1.1.c~~ (nt wdl) 26, 134, 138, 143, 147, 202, 20!), 600, 037, (i54, 670; see nlso skin friction ship 054, 062 sl~ook tul~c 4:%0 - wnve 358, 3(i0. 3(il, :3li3, 314, 365, 368, X!), 43!) sitnilnr nnd self-aimilnr uolnliona 90, 101, 107, 13li. 151, 152, 164, IMi, 203, 2D3, 300, 316, 344, 38!), 415,48!), 735, 737, 740, 746, 75 ; see rrlso honntlnry I~iycr, ni~nilnr nntl ~tntc see eqnnl.ion of sknte; locnl slnlc stor1111 tnrbinc, louses cl~tc to rougl~nrs~ li02 Shkcs'u tlrng fortnnla (upl~cro) 114 - liruL problcn~ !)O - second problen~ 93 - hypotliesis (if) - Inw of frirtion 2, 7, 48, 58 - second prol)lr~n !)3 nl.r~iin 48 --, mtc of 7, 52. 58 stmtilicntion 512, 73!) stream function 74, 133, 136, 15:I. 157, I(i3 ~t.renn~ing ace arcontla.ry flow streiwlinc I~otly 22, 42 st,rrss 48, 4!) -, nppnrcnt or Jlcynolds's 3, 55!), 560, 704 --, tlcvintoric: 48, 41) --, hytlrontntk 50 - tennor 50 Slrol~linl nunlbt~r 31 srIf-~i~nil:w sol~~lionn siniilnrity 12, 70, 151, 271, 450, 597; see also bonntlary Inyer, si~nilnr solut,ions and self-similar solutions - in liento t.mndcr 271 -, von I
812 Snhjcct lntlcx - vorl.irrs 526, 527 -- -- behind bars 741, 744 tm~~pcrat.~~re, tlill't~sio~r of 752 - - , chnnnel 84, 107, 168, 277, 668 - licltl am? Ll~crnrnl bountlnry Inyer - --, c$itldor 171, 21(1 -- rise, :~dinl)ntic 270, 27!), 286, :1R2, 717 - -, jet see jct t,l~eorcticnl I~ydrotly~~n~nics 1 - -, lubricntion 117, 121 I,I~errnnl barrier 3 .- - , pipe see pipe flow - honntln.ry hycr 3, 78, 265, 327, 330, 514, - .- , pinto 142, 205, 385, 454, 039 702, 712, 713, 754 -. .- , WWI~O 165 co11d11c1ivit.y 2Mi, 260, Mi2 -- -, wing 249, 085, W!), 690 -- difl~~~ivit:~ 2(i!). 273 -- grntlicnt 33, 128, 132 t,l~or~~~otly~~:t~~~ic: prcss~~rt! 51, 61, 63 --- ofpropngntio~~ (ofclist~~rl)n~~rc) 459, 460, 'l'oll~~~ir~l-Srl~lic:l~ti~~$ \VILVCR 45!), 474, 4!)5, SRC (rlx~ 0t.r-S0111111t:rfcl11 tq~~iilio~~ see n2.w tlist,~~rl)a~~con, 11101.l1otl of sinall - of sonntl aec Mach nnn~bnr t,orqr~e 105. 24'2, 647, 649 - thiclc~~ess 356 hce (of nt.rcs~, tensor) 51 viscosity 6, 6, 8, 9, 60, 2n9, 328 tra~n~forn~ation, c*o~nl~rcssiblc tt~rbl~lent flow - , convcraion factors 8 7 18; ace r~lno I lli~~gtvor(.l~-Slcn.~rtm -, Ici~~e~nntic 7, 8, 9, 269 trn~~nfor~nnt,ion - ~ncnaurcn~ent 12, 88 t,ra~~sforn~rcl vnri:r.l)lvs (Tor nun~cricnl t~reLhod) - tnbles 8, 9, 269, 662 I87 vortex f lnn~cnt 89 - for~nnt,ion 2, 19, 25, 28, 425, 427, 525, 529 - sliedtling freqt~cncy 91, 173 - so~~rco 230 - spirnl 529 - st.rccb (von JCdr~~~rlln's) 18, 28, 173 vort.icily 58, 73 -- trn~~sfer cquntion 73 -- - thory (G. 1. 'l'nylor) 584, (i08, 755 \v;iko 25, 175, 234, 729, 733, 741, 758 - behind bhnt body 738 -- - c,nsmrle 772 - - row of bnrs 744 -- single lmly 73!) - - , oiror~lnr 733, 743. 747 , t~wo-~li~~rc~~nio~~al 175, 733, 745 ~mll, ncliebetic 268, 277, 28(i, 2!)4, 332, 333, 335, 337, 344, 517, 5l!), 718 --, c11rvrr1 510, 525, 526, 6!)0 -, flexible 505 -- jct 750 \wvc tlrng 76!) n;~vclc~~gtl~ 459, 532 rrctlgc 156, 364; see n1.w si~nilar a ~ self- d siwilar solnt.ions wi~d (i54 wi11d-1.1111nrl t,~rrl~~~lc~~ro 572 wing 24!). 685, fi8!), (i!)O -~-, slolt,otl 381 -- . swept, 253 --, ynwod 248 I Abbreviations The following abbreviat.ions lmve been un(d thro~~gl~o~~t. the book AIAA J. - Journnl o/ the American Inslilale of Aeromutics nnrl A.dronmr/ir.~. New York, publiahetl aince 1903 (nee JAS nnd JASS) ARC = Aeronnuticnl Rc.senrch Cooncil, Jmndon. Publint~r.~ two ~rrir~ of (lot-11- ~nontq, rnch n~~tnbcrctl ucpnrntnly ARC RM - Iteporta nnd Memornndn ARC CP - C~lrrent Pnprm ARSJ = Jor~rnnl t1111erirn11 Rocket Sorirty ASME .- An~rricnn Socidy of hlccl~nnicnl Knginrors. Now York - I~eotsche Forsch~~~~gs- r111c1 \'ersi~c~l~s:~~~st;~lt fiir 1,11rt.. 11w1 IZ;it~n~Ltl~rt,, Kiiln (nincc I!)(;!)) Scientific jonrnnl enlitlccl Ingmieur-Arrhiv, 1krli11 iu~cl, sinro 1947, 1hxli11 nrd Ilritlcllwrg JAS Journal of /he A~ron(ttrtirrr1 A"j'icncc*. Ncw York, (1!)32 1!)58); replnced in I959 by ,].ASS J ASS = Jourtutl of Anro/Space Scienrc~, Ncn York (1!)5!) -l!)T,2): rcplnced in 19G3 by AIAA .I.
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McGRAW-I4ILL SERIES IN MECHANICAL E
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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
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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:
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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
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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
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302 XJI. Therninl boundary layers i
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306 XII. Tllcrrnal hor~ndary layers
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310 XJI. 'I'hcrmnl boundnry layers
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314 X11. Thermal boundary laycrs in
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318 XIT. Tl~crnial bonndnry layers
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322 XII. Tl~or~nnl I)onndnry lnyers
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326 X l I. 'l'l~crn~nl hounrlnry ln
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330 X[[1. lmninar bor~ndnry lnyers
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334 XIIT. Lnrninnr 1)oundary laycra
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338 XI I I. Im~linnr I>orirtclt~ry
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342 XI11. Tmninnr Imlndary layeru i
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346 XI 11. T,ntninar I~or~nrjary hy
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350 XIII. 1,mninnr honnclxry lnycrn
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354 XI 11. 1,nminnr h~nrlnry 1:ryrm
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Fig.. l3.16. In 13.18. lain~innr ho
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a Intninn.r l)out~rlary I:~.ycr, bu
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1 I Itc vnriolts c4Twl.s ol'sl~oclt
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370 XIIJ. I~tminar boundary layers
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\'all I)rirst., 15.11..: 'l'hr prol
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CIIAPTER XIV Boundary-layer control
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5. J'rrvrntion of trauaitinn by the
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frorii th; 1c;ulitig rxlge! (l3l:wi
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390 XIV. Ilo~~n~lnry-lnycr contml F
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. - v, (x) =cons/ Fig. 14.14. 1,ant
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invc?st.igai.ctl. In this msc too,
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402 XIV. Dounclery-layer control 1.
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Ni\('A 'rM !I74 (1!)41). 1861 Sinli
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110 XV. Non-~teldy bortndnry layers
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414 XV. Non-st.cncly hour~tlnry Iny
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418 XV. Non-slmrly l~orrnclnry Inyr
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422 XV. Non-st,cndy hoixnd~ry Inycr
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420 XV. Non-nl,mdy Fig. 15.58 Fig.
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XV. Non-utcncly boouclary lnyers wh
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434 XV. Non-stcxcly boundary layers
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438 XV. Non-atcndy boundnry inyer~
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442 XV. Norl-st,aady boundary Isycr
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440 XV. Non-st,rndy ho~~nclnry laye
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450 XVI. Origin of tnrhulence I pyi
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XVT. Origin of turbulcncc I n. Some
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458 XVI. Origin of turbulence I b.
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462 XVI. Origin of tnrb~rlmcc 1 num
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466 XVi. Origin of t.r~rhr~lrncc 1
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470 XVI. Origin of h~rlwlcnce T I R
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474 XVI. Origin of l,t~rl~~tlct~rr
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478 XVI. Origin of I.rtrb~tlmcr 1 t
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482 XVT. Origin of tmbulcncc I c. E
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486 XVI. Origin of k~rbulenre I 148
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490 XVII. Origin ol t,urbulencc 11
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404 XVII. Oriein of tnrbnlencc TI F
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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
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510 XVl I. Origin of Idmlrnro I I '
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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
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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
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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
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682 XIX. Thcoroticnl wsltmptionu fo
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586 XIX. Throretical aaotin~ptiona
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5l)O XIX. Tl~rorrt,icnl nmumptions
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594 XIX. 'rheoreticnl nssornptions
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698 XX. 'I'~~rl~ulrnt flow f,lrro~~
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602 XX. T~rrbulcnt flow thro~tgh pi
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606 XX. 'l't~rhl~lc~rit flow thro~~
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GI0 XX. Turbulent flow throngh pip
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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
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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
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644 XXI. Turbulent boundary laycrs
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048 XXI. Turbulent boundary layers
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652 XXI. Turt)~~lcnt houndnry layer
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656 XXI. Turbulent boundnry layers
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660 XX I. Tl~rhlent bo~~ndary layer
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664 XXI. Turbulent boundary layers
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CHAPTER XXII The incompreesible tur
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672 XXll. 'l'llc incon~prcssiblc tu
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070 XXII. Tlic incompreaaibto lnrl)
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FRO XXII. Tho incornprcs~iblo turbu
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684 XXII. 'Yhc incon~prcssible Lnrb
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688 XXJI. The incon~prcssible t,urb
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002 XXI1. Tho inro~nprc~sil~lo tt~r
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is prol)nt~t,iot~nl to the rnclius.
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lf$8] Mucsm:tnn, 11.: Z~~snrntncnhn
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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
- Page 391 and 392: 760 XXV. DotcrminnLion of profilo d
- Page 393 and 394: 764 XXV. I)ot.crtninntiotl of profi
- Page 395 and 396: 768 XXV. Determination of profile d
- Page 397 and 398: XXV. 1)obrlninalion of proRlo drag
- Page 399 and 400: 776 XXV. 1)ctormination of profile
- Page 401 and 402: A. Reviews organized in serial publ
- Page 403 and 404: 784 Bibliography Sherman, I?. S., I
- Page 405 and 406: Clementa, lt.R., and Mad, D.J.: The
- Page 407 and 408: 792 Bihliography 13ird, R.R., Slewn
- Page 409 and 410: Oswatitach, I
- Page 411 and 412: H:I:IR, 11. 776, 777 Ilnnsr. 1). 62
- Page 413 and 414: Scl~crb:trl,l~, I
- Page 415: 805 811bjrct lntlrx 209, 354, 385,
- Page 419: List of most commonly used synibola