Boundary Lyer Theory

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'I'i~blr 17.1 : Ikl~cwclcnrc of rrilirnl Rcyriolcln IIIIIII~I~ of vnlocil.y yrofilrn will1 nuotioll on din~c~~~~ionIcs$ n~~ction vol11111e f:wIor E, :~.fter UlricI~ [24:1J 'T:ll,le 20.1: Iht.io of Inearl to 1nnxi111u111 n of t,hc vclocity cliatribution, according to eqri. (20.fi) vc1ot.it.y ill pipe lir,w in t,ertns of tho expone~~t 'I':hlr 21.1: T
Page 1 and 2: McGRAW-I4ILL SERIES IN MECHANICAL E
Page 3 and 4: vi Contents CIIAPTEII V. Exnct ~olu
Page 5: Y Contents A " I XI X 'I'lirorrt.ir
Page 9 and 10: xviii Ar~t,l~or's Prefncr t.o tho S
Page 11 and 12: 'She book is tlivitlctl ink four ma
Page 13 and 14: Modc:rn invcstigalions in id~c ficl
Page 15 and 16: 8 I. Ont,line of fluid lnotion with
Page 17 and 18: 1. Orrl.li~rr: of firtit1 motion wi
Page 19 and 20: of I,ho resultant forcc parallcl to
Page 21 and 22: 20 I. Outlinc of fluid rnolim with
Page 23 and 24: Outline of boundary-layer theory a.
Page 25 and 26: 28 TI. Ot~(,linc! of bor~ndnry-laye
Page 27 and 28: 32 I I. 011t.linc of boundary-leycr
Page 29 and 30: IGg. 2.16. Frrc stagnation flow wit
Page 31 and 32: In t,hc tr~rl~ulont region the pres
Page 33 and 34: 44 11. Outline of boundary-layer th
Page 35 and 36: 48 111. Derivation of the eqrtat,io
Page 37 and 38: 52 111. I)rr.ivnt.iot~ of tho rrlrt
Page 39 and 40: 56 11 I . 1)t.rivntion of t.lm cqun
Page 41 and 42: 80 111. l)rrivnt.ior~ of the cquati
Page 43 and 44: g. The Nnvier-Stokes equations \Vit
Page 45 and 46: 111. 1)crivntion of tlir eql~ntions
Page 47 and 48: 72 I\'. C:rncr:tl prol,e~lirs of th
Page 49 and 50: 76 1V. Genrrnl proprrtir~ of thr Nn
Page 51 and 52: 80 I\'. Crnrtnl proprrtirs of the N
Page 53 and 54: 84 V. Exact. solul.ions of t.he Nnv
Page 55 and 56: 88 V. Rxnct uolutions of tltc Nnvin
Page 57 and 58:
the of how the velocity profilc var
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whcrc n tlcnoks :L cot~st,nnl. This
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10. Stagststinn in thx-dimensional
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104 V. Jq:.tacL solutions oi tlrc N
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The periphcrnl vclocit,y vanishes e
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CHAPTER VI Very slow motion a. The
Page 69 and 70:
116 VI. Vrry slow motion , 3 I 11c
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120 VI. Vcry ulow motion and for th
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124 VI. Very slow motion of tho t,w
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128 VII. Ihr~nclary-layer rq~lnt,io
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Fig. 7.2. Sepnration of tlin 11ot11
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136 VII. lloundnry-layer equations
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140 VJ1. Bounclnry-layrr rquat.inns
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144 VTI. Bonndary lnycr equations f
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148 VTI. Boundnry lnycr eqnations f
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162 VIII. General properties of the
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VI11. Gcncrnl propertties of the bo
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160 VITT. General propertirs of the
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1 64 IX. Exact solutions of the sha
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168 IX. Exnot, soI~rt,ionn of tho n
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172 1X. Exact m111ti0118 of tlw st.
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176 IX, Nxnrt ~oi~~liot~s of ~IIC ~
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180 IX. Exact solrltions of tllc st
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184 IX. Exact solutions of the stea
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\\+ere j = 0 (plane flow) or j = 1
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192 JX. 1Cxact sol~tLion~ of tho st
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l!Ni IX. Ihnrt solutions of thc .st
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200 1X. Ixxnrt nolntiona of t.lin n
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204 X. ApproximnLc rnetl~ods lor st
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208 where X. Approximate methods fo
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212 X. Approximntr 11iet11odg for s
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216 X. Approximato n~ethods for ste
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220 X. Approximate n~etlrods for st
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224 S. appro xi mat,^ III~I.IIO~R f
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228 XI. Axially symrnrlrir:d rind I
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232 XI. Axially synimet.rica1 and t
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236 XI. Axially symmetrical and thr
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Page 133 and 134:
244 XI. Axially symmrtrical nnd tl~
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Page 137 and 138:
252 XI. .\xi:rlly ~yrnrnctriral and
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256 XI. Axially ~yn~motricnl and th
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260 XI. Axinlly syrnmrtrird nntl Il
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Page 145 and 146:
268 XII. 'I'hcrrnal borrnrlary lnyc
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272 XII. Tl~ern~al boundary layers
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276 XtI. Thermal boundary layers in
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280 X11. Thermal honndary layers in
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284 XIJ. Thcrninl bormtiary layers
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288 and XII. Thrrn~al boundary laye
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292 XIT. Tl~er~nnl Imn~dary layers
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296 XI. Thcrtnnl boundt~ry layrn in
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300 XI1. Thrrrnnl borrndary layers
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304 X11. Tl~ortnal boundary Iaycra
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308 X11. 'I'hrr~nnl hotrnclnry I:ry
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312 SII. 'I'hrr~nnl I~ountlary layc
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316 XI1. Thermal boundary layers in
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320 X11. Thrrn~nl bonnclnry layers
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Xll. 'I'l~crn~nl 1)onntlnry Inyrrs
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328 X I1 1. J,nn~i~~nr bo~~ntl:~ry
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332 XI I I. I,:trni~~:w l)o111111r1
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,, Ilie t.c!rnprmtt~rc tlist,rib~~t
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340 XI 11. Iml~innr 1)oundnry Inycm
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344 X111. Imninnr bo1ttrr1:~ry Inyr
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XI 11. I,nrninnr bo~~ntl:~ry Inycrs
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352 X'I I I. I,:ur~i~~ar Imt~t~clar
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it, vicw of cqn. (13.85). whcrc M =
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360 XIII. Laminar bonndory Inyers i
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364 XIII. Laminar boundary lnyrrs i
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308 XIII. Laminnr boundary layer8 i
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XTII. I.nntinnr l)o~~rldnry 1:iyrrs
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376 XI 11. Jfiminnr ho~~~tdnry 1:ry
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380 X IV. llorlntlnry-layrr control
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384 XIV. Boundary-layer control Ass
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388 XIV. 13ountl:~r,y-laycr control
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392 XJV. I%outldnry-layer control (
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XIV. Boundary-lnycr control b. Boun
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400 XIV. Boundary-layer control Owi
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404 XIV. 13oundnry-laycr control Re
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CHAPTER XV Non-steady boundary laye
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412 XV. Non strarly Imnndnry hycrs
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416 XV. Non-steady boundary layers
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t.11rsis I,rrsc~nl,rtl in 1924. 111
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424 XV. Non-atearly boundary layers
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XV. Non-skdy borlntlnry layers c. I
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432 XV. Non-ntcndy boundary layers
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436 XV. Non.stmdy borlndnry lnycra
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440 XV. Non-st.cncly bortntlrrry ln
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444 XV. Non-st,mdy I~oundnry Inyora
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448 XV. Xon-stcady boundary layers
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ITig. 10.2. Variation of flow vclor
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I+. lli.7. (:rc)wtlt (11' :LII :~rt
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4GO XVI. Origin of turbulence 1 1).
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d(i.4 XVT. Origin of hrbulcnce I of
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468 As :I. srcl~trl XVI. Origin of
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111 1:1tvr I.imos. ,I .'l'. Sh1n14
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476 XVI. Ori~in of turhulrnce 1 (1.
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XVI. Origin of turbulonce I d. C'or
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484 XVT. Origin of t~~rbulence I 74
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488 XVI. Origin of t~rrh~rlence I (
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492 XVII. Origin 01 turbulcncc I[ a
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490 XVII. Origin of turbrllence I1
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500 XVTT. Origin of turbulence 11 o
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504 XVII. Origin of k~rbulencc 11 p
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608 XVII. Origin of turhulcnce TI c
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512 XVII. Origin of turbulence I1 d
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516 XVII. Origin of turbulcnco XI E
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620 KVII. Origin of tr~rbrllonce li
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524 XVII. Origin of turb~~lrnce 11
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528 XVII. Origin of turbulence I1 I
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632 XVII. Origin of t~~rbr~lenco 11
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536 XVlJ. Origin of t,urhr~lcnce 11
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540 XVII. Origin of turhulonce 1 I
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544 XVII. Origin of t~~rbulcnco 11
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M8 XVIT. Origin of t.nrhltlrncc II
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552 XVII. Origin of tnrhnlonco TI T
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6M XVI I I. Pundemcnt~nls of turbol
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560 XVIII. P~tndan~cnlal~ of turbul
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564 XVIII. I~~~ndnrncntals of tr~rb
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568 XVIII. F~~ndamentnls of turbule
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572 XVIIl. F~~ndnnwntds of turl)ulc
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576 XV1 I I. 1~untlnment.nls of tur
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580 XIX. 'I'lrmrclic~l ~~suntptions
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wtl~:~.c t.I~t* otigini1IIj1 (:otls
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I lorv t,hr c:onst~;~,~~(, of in t.
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502 XIX. Throrrl.icnl nsaun~ptions
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Turbulent flow through pipee n. Exp
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'I'nblr 20.1. Itnt.in of IIIC:LII t
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604 XX. 'hrl)r~lcnt now t,hro~tgll
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'I'ltr ~tnivvrs:rl voloci(,y-tlisl.
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XX. T~lrbrrlcnt flow tl~ro~rgh pipc
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618 XX. Turb111cnt flow through pip
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circ111n.r cross-sectional nrcas if
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626 XX. 'rnrb~rlent flow through pi
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630 XX. 'I'r~rl~ulrmt. flow t.l~rou
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634 XX. Turbnlont flow tltroogh p i
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638 XXT. Tnrbnlent, honndnry Inyeru
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642 XXI. Ttlrbulent boundnry lnycn
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646 XXI. Turbulent houndary layers
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650 XXI. T~lrhulent boundary lnyers
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654 XXT. l'url~ulmt I~o~~ntlnry lny
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658 XXI. Torhulcnt boundary layera
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662 XXT. Tiirltnlcnt bo~tntlnry lny
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666 XXI. Turbulent boundary layers
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670 XXII. Tho incomprcaniblo t~urbn
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074 XXIJ. Tho incomprc~~ihlo t,t~rb
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678 XX 11. Tho inconiprcnnihle t~~r
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082 XXII. Thc incomprm~il~lr L~lrbt
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(22.26) vi11k11. 'S11r reql~ircrl i
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690 XXII. Thc iticompre~niblc ti~rb
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J'ig. 22.17. 1,ovnl lift. cwefhienb
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(308 XXIT. The incomprc~~iblc turbu
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Turbulent houtldary layers in compr
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706 XXTII. T~~rbulont bo~~ndary loy
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710 XXIII. l'urhnlrnt. honntlnry ln
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714 X X I I I. 'hrhulcwt. I)oc~ntl:
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718 XXIII. Turl~ulcnt boundnry laye
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wl~erc c, denotes the vclocity of s
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[40] fioffninnn, E.: Ikr WRrmciibrr
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730 XXIV. Prec turhi~lent. flowu; j
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734 XXlV. Prrc b11r1111lcnt flows:
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738 XXIV. Frcc tnrbnlcnt flows; jct
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742 XXIV. Frcc t,url)rllcnt flown;
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746 X XIV. I+cc turhttlrnt flown; j
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wliic:h rrscm1)lrs t,Ile pl~cnomrna
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754 XXJV. Frce turhnlent flows; jet
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CHAPTER XXV Determin~ation of profi
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762 XXV. Determination of profile d
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766 XXV. Determination or profile d
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770 XXV. Determination of profile d
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XXV. Dctcrminntion of profile drag
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778 XXV. Detcrn~inntion of profilc
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782 Bibliography Fay, J.A.: Wnoynnt
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786 Bibliography A I). Progress hr
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B 2. Collected Works Prandtl, L.: (
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704 Bibliogrnphy Bibliography 706 W
Page 410 and 411:
B11~1inrll. 1). M. 5!12 I111ssn1n1i
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Linkc, W. 173,200,514,049 List, I$.
Page 414 and 415:
Vnrlwti, 11. ,J. 315. 324 Vnn, I. I
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Mnnglor'u trnnsfornintion 245 nmsn
Page 418 and 419:
814 NACA NASA Proc. Roy. I? I\ I< U
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Boundary Lyer Theory

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