Holdings: Boundary-layer theory

Boundary-layer theory: with 22 tables

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Bibliographic Details
Main Authors:	Schlichting, Hermann 1907-1982 (Author), Gersten, Klaus 1929- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2000
Edition:	8., rev. and enl. ed.
Subjects:	Strömungsmechanik Grenzschicht Grenzschichttheorie Lehrbuch
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 715 - 791
Physical Description:	XXIII, 799 S. Ill., graph. Darst.
ISBN:	3540662707

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100	1		\|a Schlichting, Hermann \|d 1907-1982 \|e Verfasser \|0 (DE-588)121428095 \|4 aut
240	1	0	\|a Grenzschicht-Theorie
245	1	0	\|a Boundary-layer theory \|b with 22 tables \|c Herrmann Schlichting ; Klaus Gersten
246	1	3	\|a Boundary layer theory
250			\|a 8., rev. and enl. ed.
264		1	\|a Berlin [u.a.] \|b Springer \|c 2000
300			\|a XXIII, 799 S. \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
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500			\|a Literaturverz. S. 715 - 791
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689	1	1	\|a Strömungsmechanik \|0 (DE-588)4077970-1 \|D s
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700	1		\|a Gersten, Klaus \|d 1929- \|e Verfasser \|0 (DE-588)121428281 \|4 aut
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Record in the Search Index

_version_	1804127624262320128
adam_text	CONTENTS INTRODUCTION ................................................. XIX PARTI.FUNDAMENTALSOFVISCOUSFLOWS 1. SOMEFEATURESOFVISCOUSFLOWS .......................... 3 1.1 REALANDIDEALFLUIDS ................................... 3 1.2 VISCOSITY .............................................. 4 1.3 REYNOLDSNUMBER ...................................... 6 1.4 LAMINARANDTURBULENTFLOWS ............................ 12 1.5 ASYMPTOTICBEHAVIOURATLARGEREYNOLDSNUMBERS ......... 14 1.6 COMPARISONOFMEASUREMENTS USINGTHEINVISCIDLIMITINGSOLUTION ...................... 14 1.7 SUMMARY .............................................. 26 2. FUNDAMENTALSOFBOUNDARYLAYERTHEORY ................. 29 2.1 BOUNDARYLAYERCONCEPT ................................ 29 2.2 LAMINARBOUNDARYLAYERONAFLATPLATEATZEROINCIDENCE .. 30 2.3 TURBULENTBOUNDARYLAYERONAFLATPLATEATZEROINCIDENCE . 33 2.4 FULLYDEVELOPEDTURBULENTFLOWINAPIPE ................. 36 2.5 BOUNDARYLAYERONANAIRFOIL ............................ 38 2.6 SEPARATIONOFTHEBOUNDARYLAYER ........................ 39 2.7 OVERVIEWOFTHEFOLLOWINGMATERIAL ....................... 48 3. FIELDEQUATIONSFORFLOWSOFNEWTONIANFLUIDS ........... 51 3.1 DESCRIPTIONOFFLOWFIELDS ............................... 51 3.2 CONTINUITYEQUATION .................................... 52 3.3 MOMENTUMEQUATION ................................... 52 3.4 GENERALSTRESSSTATEOFDEFORMABLEBODIES ................. 53 3.5 GENERALSTATEOFDEFORMATIONOFFLOWINGFLUIDS ............ 57 3.6 RELATIONBETWEENSTRESSESANDRATEOFDEFORMATION ......... 62 3.7 STOKESHYPOTHESIS ...................................... 65 3.8 BULKVISCOSITYANDTHERMODYNAMICPRESSURE .............. 66 3.9 NAVIERSTOKESEQUATIONS ................................ 68 X CONTENTS 3.10ENERGYEQUATION ....................................... 69 3.11EQUATIONSOFMOTION FORARBITRARYCOORDINATESYSTEMS(SUMMARY) .............. 73 3.12EQUATIONSOFMOTION FORCARTESIANCOORDINATESININDEXNOTATION ............... 76 3.13EQUATIONSOFMOTIONINDIFFERENTCOORDINATESYSTEMS ....... 79 4. GENERALPROPERTIESOFTHEEQUATIONSOFMOTION ........... 83 4.1 SIMILARITYLAWS ........................................ 83 4.2 SIMILARITYLAWSFORFLOWWITHBUOYANCYFORCES (MIXEDFORCEDANDNATURALCONVECTION) ................... 86 4.3 SIMILARITYLAWSFORNATURALCONVECTION ................... 90 4.4 VORTICITYTRANSPORTEQUATION ............................ 91 4.5 LIMITOFVERYSMALLREYNOLDSNUMBERS ................... 93 4.6 LIMITOFVERYLARGEREYNOLDSNUMBERS ................... 94 4.7 MATHEMATICALEXAMPLEOFTHELIMITRE * .............. 96 4.8 NONUNIQUENESSOFSOLUTIONSOFTHENAVIERSTOKESEQUATIONS . 99 5. EXACTSOLUTIONSOFTHENAVIERSTOKESEQUATIONS .......... 101 5.1 STEADYPLANEFLOWS ..................................... 101 5.1.1 COUETTEPOISEUILLEFLOWS .......................... 101 5.1.2 JEFFERYHAMELFLOWS (FULLYDEVELOPEDNOZZLEANDDIFFUSERFLOWS) ......... 104 5.1.3 PLANESTAGNATIONPOINTFLOW ...................... 110 5.1.4 FLOWPASTAPARABOLICBODY ....................... 115 5.1.5 FLOWPASTACIRCULARCYLINDER ..................... 115 5.2 STEADYAXISYMMETRICFLOWS ............................. 116 5.2.1 CIRCULARPIPEFLOW(HAGENPOISEUILLEFLOW) ......... 116 5.2.2 FLOWBETWEENTWOCONCENTRICROTATINGCYLINDERS .... 117 5.2.3 AXISYMMETRICSTAGNATIONPOINTFLOW ............... 118 5.2.4 FLOWATAROTATINGDISK ........................... 119 5.2.5 AXISYMMETRICFREEJET ............................ 124 5.3 UNSTEADYPLANEFLOWS .................................. 126 5.3.1 FLOWATAWALLSUDDENLYSETINTOMOTION (FIRSTSTOKESPROBLEM) ............................ 126 5.3.2 FLOWATANOSCILLATINGWALL (SECONDSTOKESPROBLEM) .......................... 129 5.3.3 STARTUPOFCOUETTEFLOW ......................... 130 5.3.4 UNSTEADYASYMPTOTICSUCTION ...................... 131 5.3.5 UNSTEADYPLANESTAGNATIONPOINTFLOW ............. 131 5.3.6 OSCILLATINGCHANNELFLOW .......................... 137 5.4 UNSTEADYAXISYMMETRICFLOWS ........................... 139 5.4.1 VORTEXDECAY .................................... 139 5.4.2 UNSTEADYPIPEFLOW .............................. 139 5.5 SUMMARY .............................................. 141 CONTENTS XI PARTII.LAMINARBOUNDARYLAYERS 6. BOUNDARYLAYEREQUATIONSINPLANEFLOW; PLATEBOUNDARYLAYER .................................... 145 6.1 SETTINGUPTHEBOUNDARYLAYEREQUATIONS ................. 145 6.2 WALLFRICTION,SEPARATIONANDDISPLACEMENT ................ 150 6.3 DIMENSIONALREPRESENTATION OFTHEBOUNDARYLAYEREQUATIONS ........................ 152 6.4 FRICTIONDRAG .......................................... 155 6.5 PLATEBOUNDARYLAYER ................................... 156 7. GENERALPROPERTIESANDEXACTSOLUTIONS OFTHEBOUNDARYLAYEREQUATIONS FORPLANEFLOWS ........................................... 165 7.1 COMPATIBILITYCONDITIONATTHEWALL ...................... 166 7.2 SIMILARSOLUTIONSOFTHEBOUNDARYLAYEREQUATIONS . . . . . . . . . 167 7.2.1 DERIVATIONOFTHEORDINARYDIFFERENTIALEQUATION ..... 167 A BOUNDARYLAYERSWITHOUTERFLOW ............... 169 B BOUNDARYLAYERSWITHOUTOUTERFLOW ............ 172 7.2.2 WEDGEFLOWS .................................... 172 7.2.3 FLOWINACONVERGENTCHANNEL ..................... 174 7.2.4 MIXINGLAYER .................................... 175 7.2.5 MOVINGPLATE .................................... 177 7.2.6 FREEJET ......................................... 177 7.2.7 WALLJET ......................................... 180 7.3 COORDINATETRANSFORMATION .............................. 182 7.3.1 G¨ORTLERTRANSFORMATION ........................... 182 7.3.2 V.MISESTRANSFORMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 7.3.3 CROCCOTRANSFORMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 7.4 SERIESEXPANSIONOFTHESOLUTIONS . . . . . . . . . . . . . . . . . . . . . . . . . 184 7.4.1 BLASIUSSERIES .................................... 184 7.4.2 G¨ORTLERSERIES .................................... 186 7.5 ASYMPTOTICBEHAVIOUROFSOLUTIONSDOWNSTREAM ............ 187 7.5.1 WAKEBEHINDBODIES .............................. 187 7.5.2 BOUNDARYLAYERATAMOVINGWALL .................. 190 7.6 INTEGRALRELATIONSOFTHEBOUNDARYLAYER .................. 191 7.6.1 MOMENTUMINTEGRALEQUATION ..................... 191 7.6.2 ENERGYINTEGRALEQUATION ......................... 192 7.6.3 MOMENTOFMOMENTUMINTEGRALEQUATIONS .......... 194 8. APPROXIMATEMETHODSFORSOLVINGTHEBOUNDARYLAYER EQUATIONSFORSTEADYPLANEFLOWS ........................ 195 8.1 INTEGRALMETHODS ....................................... 196 XII CONTENTS 8.2 STRATFORDSSEPARATIONCRITERION .......................... 202 8.3 COMPARISONOFTHEAPPROXIMATESOLUTIONS WITHEXACTSOLUTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 8.3.1 RETARDEDSTAGNATIONPOINTFLOW ................... 202 8.3.2 DIVERGENTCHANNEL(DIFFUSER) ...................... 204 8.3.3 CIRCULARCYLINDERFLOW ............................ 205 8.3.4 SYMMETRICFLOWPASTAJOUKOWSKYAIRFOIL ........... 207 9. THERMALBOUNDARYLAYERS WITHOUTCOUPLINGOFTHEVELOCITYFIELD TOTHETEMPERATUREFIELD ................................. 209 9.1 BOUNDARYLAYEREQUATIONSFORTHETEMPERATUREFIELD ....... 209 9.2 FORCEDCONVECTIONFORCONSTANTPROPERTIES ................ 211 9.3 EFFECTOFTHEPRANDTLNUMBER ............................ 215 9.4 SIMILARSOLUTIONSOFTHETHERMALBOUNDARYLAYER .......... 218 9.5 INTEGRALMETHODSFORCOMPUTINGTHEHEATTRANSFER ......... 223 9.6 EFFECTOFDISSIPATION; DISTRIBUTIONOFTHEADIABATICWALLTEMPERATURE ............ 226 10. THERMALBOUNDARYLAYERS WITHCOUPLINGOFTHEVELOCITYFIELD TOTHETEMPERATUREFIELD ................................. 231 10.1REMARK ............................................... 231 10.2BOUNDARYLAYEREQUATIONS .............................. 231 10.3BOUNDARYLAYERSWITHMODERATEWALLHEATTRANSFER (WITHOUTGRAVITATIONALEFFECTS) .......................... 233 10.3.1 PERTURBATIONCALCULATION .......................... 233 10.3.2 PROPERTYRATIOMETHOD(TEMPERATURERATIOMETHOD) . 237 10.3.3 REFERENCETEMPERATUREMETHOD .................... 240 10.4COMPRESSIBLEBOUNDARYLAYERS (WITHOUTGRAVITATIONALEFFECTS) .......................... 241 10.4.1 PHYSICALPROPERTYRELATIONS ....................... 241 10.4.2 SIMPLESOLUTIONSOFTHEENERGYEQUATION ............ 244 10.4.3 TRANSFORMATIONSOFTHEBOUNDARYLAYEREQUATIONS ... 246 10.4.4 SIMILARSOLUTIONS ................................. 249 10.4.5 INTEGRALMETHODS ................................. 258 10.4.6 BOUNDARYLAYERSINHYPERSONICFLOWS ............... 263 10.5NATURALCONVECTION ..................................... 265 10.5.1 BOUNDARYLAYEREQUATIONS ........................ 265 10.5.2 TRANSFORMATIONOFTHEBOUNDARYLAYEREQUATIONS .... 270 10.5.3 LIMITOFLARGEPRANDTLNUMBERS( T W =CONST) ....... 271 10.5.4 SIMILARSOLUTIONS ................................. 273 10.5.5 GENERALSOLUTIONS ................................ 277 10.5.6 VARIABLEPHYSICALPROPERTIES ....................... 278 10.5.7 EFFECTOFDISSIPATION .............................. 280 CONTENTS XIII 10.6INDIRECTNATURALCONVECTION ............................. 281 10.7MIXEDCONVECTION ...................................... 284 11. BOUNDARYLAYERCONTROL(SUCTION/BLOWING) .............. 291 11.1DIFFERENTKINDSOFBOUNDARYLAYERCONTROL ................ 291 11.2CONTINUOUSSUCTIONANDBLOWING ......................... 295 11.2.1 FUNDAMENTALS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295 11.2.2 MASSIVESUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297 11.2.3 MASSIVEBLOWING ................................. 299 11.2.4 SIMILARSOLUTIONS ................................. 302 11.2.5 GENERALSOLUTIONS ................................ 307 1. PLATEFLOWWITHUNIFORMSUCTIONORBLOWING ...... 307 2. AIRFOIL ........................................ 309 11.2.6 NATURALCONVECTIONWITHBLOWINGANDSUCTION ....... 310 11.3BINARYBOUNDARYLAYERS ................................ 311 11.3.1 OVERVIEW ........................................ 311 11.3.2 BASICEQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 11.3.3 ANALOGYBETWEENHEATANDMASSTRANSFER ........... 316 11.3.4 SIMILARSOLUTIONS ................................. 317 12. AXISYMMETRICANDTHREEDIMENSIONALBOUNDARYLAYERS .. 321 12.1AXISYMMETRICBOUNDARYLAYERS .......................... 321 12.1.1 BOUNDARYLAYEREQUATIONS ........................ 321 12.1.2 MANGLERTRANSFORMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 12.1.3 BOUNDARYLAYERS ONNONROTATINGBODIESOFREVOLUTION .............. 324 12.1.4 BOUNDARYLAYERSONROTATINGBODIESOFREVOLUTION ... 327 12.1.5 FREEJETSANDWAKES .............................. 331 12.2THREEDIMENSIONALBOUNDARYLAYERS ...................... 335 12.2.1 BOUNDARYLAYEREQUATIONS ........................ 335 12.2.2 BOUNDARYLAYERATACYLINDER ..................... 341 12.2.3 BOUNDARYLAYERATAYAWINGCYLINDER .............. 342 12.2.4 THREEDIMENSIONALSTAGNATIONPOINT ................ 344 12.2.5 BOUNDARYLAYERSINSYMMETRYPLANES ............... 345 12.2.6 GENERALCONFIGURATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345 13. UNSTEADYBOUNDARYLAYERS ............................... 349 13.1FUNDAMENTALS .......................................... 349 13.1.1 REMARK ......................................... 349 13.1.2 BOUNDARYLAYEREQUATIONS ........................ 350 13.1.3 SIMILARANDSEMISIMILARSOLUTIONS ................. 351 13.1.4 SOLUTIONSFORSMALLTIMES(HIGHFREQUENCIES) ........ 352 13.1.5 SEPARATIONOFUNSTEADYBOUNDARYLAYERS ............ 353 13.1.6 INTEGRALRELATIONSANDINTEGRALMETHODS . . . . . . . . . . . . . 354 13.2UNSTEADYMOTIONOFBODIESINAFLUIDATREST .............. 355 XIV CONTENTS 13.2.1 STARTUPPROCESSES ............................... 355 13.2.2 OSCILLATIONOFBODIESINAFLUIDATREST ............. 362 13.3UNSTEADYBOUNDARYLAYERSINASTEADYBASICFLOW ......... 365 13.3.1 PERIODICOUTERFLOW .............................. 365 13.3.2 STEADYFLOWWITHAWEAKPERIODICPERTURBATION . . . . . . 367 13.3.3 TRANSITIONBETWEENTWOSLIGHTLYDIFFERENTSTEADY BOUNDARYLAYERS ................................. 369 13.4COMPRESSIBLEUNSTEADYBOUNDARYLAYERS .................. 370 13.4.1 REMARK ......................................... 370 13.4.2 BOUNDARYLAYERBEHINDAMOVING NORMALSHOCKWAVE .............................. 371 13.4.3 FLATPLATEATZEROINCIDENCEWITHVARIABLEFREESTREAM VELOCITYANDWALLTEMPERATURE .................... 373 14. EXTENSIONSTOTHEPRANDTLBOUNDARYLAYERTHEORY ....... 377 14.1REMARK ............................................... 377 14.2HIGHERORDERBOUNDARYLAYERTHEORY .................... 379 14.3HYPERSONICINTERACTION .................................. 389 14.4TRIPLEDECKTHEORY ..................................... 392 14.5MARGINALSEPARATION .................................... 403 14.6MASSIVESEPARATION ..................................... 408 PARTIII.LAMINARTURBULENTTRANSITION 15. ONSETOFTURBULENCE(STABILITYTHEORY) ................... 415 15.1SOMEEXPERIMENTALRESULTS ONTHELAMINARTURBULENTTRANSITION ..................... 415 15.1.1 TRANSITIONINTHEPIPEFLOW ........................ 415 15.1.2 TRANSITIONINTHEBOUNDARYLAYER .................. 419 15.2FUNDAMENTALSOFSTABILITYTHEORY ........................ 424 15.2.1 REMARK ......................................... 424 15.2.2 FUNDAMENTALSOFPRIMARYSTABILITYTHEORY .......... 425 15.2.3 ORRSOMMERFELDEQUATION ......................... 427 15.2.4 CURVEOFNEUTRALSTABILITY ANDTHEINDIFFERENCEREYNOLDSNUMBER .............. 434 A PLATEBOUNDARYLAYER ........................... 436 B EFFECTOFPRESSUREGRADIENT ...................... 445 C EFFECTOFSUCTION ............................... 457 D EFFECTOFWALLHEATTRANSFER ..................... 460 E EFFECTOFCOMPRESSIBILITY ........................ 463 F EFFECTOFWALLROUGHNESS ........................ 467 G FURTHEREFFECTS ................................. 472 15.3INSTABILITYOFTHEBOUNDARYLAYER FORTHREEDIMENSIONALPERTURBATIONS ..................... 473 CONTENTS XV 15.3.1 REMARK ......................................... 473 15.3.2 FUNDAMENTALSOFSECONDARYSTABILITYTHEORY ......... 476 15.3.3 BOUNDARYLAYERSATCURVEDWALLS .................. 479 15.3.4 BOUNDARYLAYERATAROTATINGDISK ................. 483 15.3.5 THREEDIMENSIONALBOUNDARYLAYERS ............... 485 15.4LOCALPERTURBATIONS ..................................... 491 PARTIV.TURBULENTBOUNDARYLAYERS 16. FUNDAMENTALSOFTURBULENTFLOWS ......................... 497 16.1REMARK ............................................... 497 16.2MEANMOTIONANDFLUCTUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . 499 16.3BASICEQUATIONSFORTHEMEANMOTIONOFTURBULENTFLOWS .... 502 16.3.1 CONTINUITYEQUATION .............................. 502 16.3.2 MOMENTUMEQUATIONS(REYNOLDSEQUATIONS) ......... 503 16.3.3 EQUATIONFORTHEKINETICENERGY OFTHETURBULENTFLUCTUATIONS( K -EQUATION) .......... 505 16.3.4 THERMALENERGYEQUATION ......................... 508 16.4CLOSUREPROBLEM ....................................... 509 16.5DESCRIPTIONOFTHETURBULENTFLUCTUATIONS ................. 510 16.5.1 CORRELATIONS ..................................... 510 16.5.2 SPECTRAANDEDDIES ............................... 511 16.5.3 TURBULENCEOFTHEOUTERFLOW ...................... 513 16.5.4 EDGESOFTURBULENTREGIONSANDINTERMITTENCE ....... 514 16.6BOUNDARYLAYEREQUATIONSFORPLANEFLOWS ................ 515 17. INTERNALFLOWS ............................................ 519 17.1COUETTEFLOW .......................................... 519 17.1.1 TWOLAYERSTRUCTUREOFTHEVELOCITYFIELD ANDTHELOGARITHMICOVERLAPLAW .................. 519 17.1.2 UNIVERSALLAWSOFTHEWALL ........................ 524 17.1.3 FRICTIONLAW ..................................... 536 17.1.4 TURBULENCEMODELS ............................... 538 17.1.5 HEATTRANSFER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541 17.2FULLYDEVELOPEDINTERNALFLOWS( A =CONST) ................ 543 17.2.1 CHANNELFLOW .................................... 543 17.2.2 COUETTEPOISEUILLEFLOWS .......................... 544 17.2.3 PIPEFLOW ....................................... 549 17.3SLENDERCHANNELTHEORY ................................ 554 18. TURBULENTBOUNDARYLAYERS WITHOUTCOUPLINGOFTHEVELOCITYFIELD TOTHETEMPERATUREFIELD ................................. 557 18.1TURBULENCEMODELS ..................................... 557 XVI CONTENTS 18.1.1 REMARK ......................................... 557 18.1.2 ALGEBRAICTURBULENCEMODELS ...................... 559 18.1.3 TURBULENTENERGYEQUATION . . . . . . . . . . . . . . . . . . . . . . . . 560 18.1.4 TWOEQUATIONMODELS ............................ 562 18.1.5 REYNOLDSSTRESSMODELS ........................... 565 18.1.6 HEATTRANSFERMODELS ............................. 568 18.1.7 LOWREYNOLDSNUMBERMODELS .................... 570 18.1.8 LARGEEDDYSIMULATION ANDDIRECTNUMERICALSIMULATION ................... 571 18.2ATTACHEDBOUNDARYLAYERS .............................. 572 18.2.1 LAYEREDSTRUCTURE ................................ 572 18.2.2 BOUNDARYLAYEREQUATIONSUSING THEDEFECTFORMULATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574 18.2.3 FRICTIONLAWANDCHARACTERISITICQUANTITIES OFTHEBOUNDARYLAYER ............................ 577 18.2.4 EQUILIBRIUMBOUNDARYLAYERS ...................... 580 18.2.5 BOUNDARYLAYERONAPLATEATZEROINCIDENCE ........ 582 18.3BOUNDARYLAYERSWITHSEPARATION ......................... 589 18.3.1 STRATFORDFLOW ................................... 589 18.3.2 QUASIEQUILIBRIUMBOUNDARYLAYERS ................ 591 18.4COMPUTATIONOFBOUNDARYLAYERSUSINGINTEGRALMETHODS ... 594 18.4.1 DIRECTMETHOD ................................... 594 18.4.2 INVERSEMETHOD .................................. 597 18.5COMPUTATIONOFBOUNDARYLAYERSUSINGFIELDMETHODS ...... 598 18.5.1 ATTACHEDBOUNDARYLAYERS ........................ 598 18.5.2 BOUNDARYLAYERSWITHSEPARATION .................. 601 18.5.3 LOWREYNOLDSNUMBERTURBULENCEMODELS .......... 602 18.5.4 ADDITIONALEFFECTS ................................ 604 18.6COMPUTATIONOFTHERMALBOUNDARYLAYERS ................ 606 18.6.1 FUNDAMENTALS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 606 18.6.2 COMPUTATIONOFTHERMALBOUNDARYLAYERS USINGFIELDMETHODS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609 19. TURBULENTBOUNDARYLAYERS WITHCOUPLINGOFTHEVELOCITYFIELD TOTHETEMPERATUREFIELD ................................. 611 19.1FUNDAMENTALEQUATIONS ................................. 611 19.1.1 TIMEAVERAGINGFORVARIABLEDENSITY ................ 611 19.1.2 BOUNDARYLAYEREQUATIONS ........................ 613 19.2COMPRESSIBLETURBULENTBOUNDARYLAYERS ................. 617 19.2.1 TEMPERATUREFIELD ................................ 617 19.2.2 OVERLAPLAW ..................................... 619 19.2.3 SKINFRICTIONCOEFFICIENTANDNUSSELTNUMBER ........ 621 19.2.4 INTEGRALMETHODSFORADIABATICWALLS ............... 623 CONTENTS XVII 19.2.5 FIELDMETHODS ................................... 625 19.2.6 SHOCKBOUNDARYLAYERINTERACTION ................. 625 19.3NATURALCONVECTION ..................................... 627 20. AXISYMMETRICANDTHREEDIMENSIONAL TURBULENTBOUNDARYLAYERS ............................... 631 20.1AXISYMMETRICBOUNDARYLAYERS .......................... 631 20.1.1 BOUNDARYLAYEREQUATIONS ........................ 631 20.1.2 BOUNDARYLAYERSWITHOUTBODYROTATION ........... 632 20.1.3 BOUNDARYLAYERSWITHBODYROTATION ............... 635 20.2THREEDIMENSIONALBOUNDARYLAYERS ...................... 637 20.2.1 BOUNDARYLAYEREQUATIONS ........................ 637 20.2.2 COMPUTATIONMETHODS ............................ 641 20.2.3 EXAMPLES ....................................... 643 21. UNSTEADYTURBULENTBOUNDARYLAYERS .................... 645 21.1AVERAGINGANDBOUNDARYLAYEREQUATIONS ................. 645 21.2COMPUTATIONMETHODS .................................. 648 21.3EXAMPLES .............................................. 649 22. TURBULENTFREESHEARFLOWS .............................. 653 22.1REMARK ............................................... 653 22.2EQUATIONSFORPLANEFREESHEARLAYERS .................... 655 22.3PLANEFREEJET ......................................... 659 22.3.1 GLOBALBALANCES .................................. 659 22.3.2 FARFIELD ........................................ 660 22.3.3 NEARFIELD ....................................... 665 22.3.4 WALLEFFECTS ..................................... 665 22.4MIXINGLAYER .......................................... 667 22.5PLANEWAKE ............................................ 669 22.6AXISYMMETRICFREESHEARFLOWS .......................... 671 22.6.1 BASICEQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 671 22.6.2 FREEJET ......................................... 672 22.6.3 WAKE ........................................... 674 22.7BUOYANTJETS ........................................... 675 22.7.1 PLANEBUOYANTJET ................................ 675 22.7.2 AXISYMMETRICBUOYANTJET ........................ 677 22.8PLANEWALLJET ......................................... 677 XVIII CONTENTS PARTV.NUMERICALMETHODSINBOUNDARYLAYERTHEORY 23. NUMERICALINTEGRATIONOFTHEBOUNDARYLAYEREQUATIONS . 683 23.1LAMINARBOUNDARYLAYERS ............................... 683 23.1.1 REMARK ......................................... 683 23.1.2 NOTEONBOUNDARYLAYERTRANSFORMATIONS ........... 684 23.1.3 EXPLICITANDIMPLICITDISCRETISATION ................. 685 23.1.4 SOLUTIONOFTHEIMPLICITDIFFERENCEEQUATIONS . . . . . . . . . 689 23.1.5 INTEGRATIONOFTHECONTINUITYEQUATION .............. 691 23.1.6 BOUNDARYLAYEREDGEANDWALLSHEARSTRESS ........ 691 23.1.7 INTEGRATIONOFTHETRANSFORMEDBOUNDARYLAYER EQUATIONSUSINGTHEBOXSCHEME ................... 692 23.2TURBULENTBOUNDARYLAYERS .............................. 695 23.2.1 METHODOFWALLFUNCTIONS ......................... 695 23.2.2 LOWREYNOLDSNUMBERTURBULENCEMODELS .......... 700 23.3UNSTEADYBOUNDARYLAYERS .............................. 701 23.4STEADYTHREE*DIMENSIONALBOUNDARYLAYERS ............... 703 LISTOFFREQUENTLYUSEDSYMBOLS .............................. 709 REFERENCES .................................................... 717 INDEX ......................................................... 795
any_adam_object	1
author	Schlichting, Hermann 1907-1982 Gersten, Klaus 1929-
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author_facet	Schlichting, Hermann 1907-1982 Gersten, Klaus 1929-
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callnumber-first	T - Technology
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ctrlnum	(OCoLC)313467799 (DE-599)BVBBV012932783
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dewey-sort	3629.132 237
dewey-tens	620 - Engineering and allied operations
discipline	Physik Verkehr / Transport Geographie
edition	8., rev. and enl. ed.
format	Book
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spelling	Schlichting, Hermann 1907-1982 Verfasser (DE-588)121428095 aut Grenzschicht-Theorie Boundary-layer theory with 22 tables Herrmann Schlichting ; Klaus Gersten Boundary layer theory 8., rev. and enl. ed. Berlin [u.a.] Springer 2000 XXIII, 799 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 715 - 791 Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Grenzschicht (DE-588)4022005-9 gnd rswk-swf Grenzschichttheorie (DE-588)4158151-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Grenzschicht (DE-588)4022005-9 s DE-604 Grenzschichttheorie (DE-588)4158151-9 s Strömungsmechanik (DE-588)4077970-1 s 2\p DE-604 Gersten, Klaus 1929- Verfasser (DE-588)121428281 aut SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008806099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Schlichting, Hermann 1907-1982 Gersten, Klaus 1929- Boundary-layer theory with 22 tables Strömungsmechanik (DE-588)4077970-1 gnd Grenzschicht (DE-588)4022005-9 gnd Grenzschichttheorie (DE-588)4158151-9 gnd
subject_GND	(DE-588)4077970-1 (DE-588)4022005-9 (DE-588)4158151-9 (DE-588)4123623-3
title	Boundary-layer theory with 22 tables
title_alt	Grenzschicht-Theorie Boundary layer theory
title_auth	Boundary-layer theory with 22 tables
title_exact_search	Boundary-layer theory with 22 tables
title_full	Boundary-layer theory with 22 tables Herrmann Schlichting ; Klaus Gersten
title_fullStr	Boundary-layer theory with 22 tables Herrmann Schlichting ; Klaus Gersten
title_full_unstemmed	Boundary-layer theory with 22 tables Herrmann Schlichting ; Klaus Gersten
title_short	Boundary-layer theory
title_sort	boundary layer theory with 22 tables
title_sub	with 22 tables
topic	Strömungsmechanik (DE-588)4077970-1 gnd Grenzschicht (DE-588)4022005-9 gnd Grenzschichttheorie (DE-588)4158151-9 gnd
topic_facet	Strömungsmechanik Grenzschicht Grenzschichttheorie Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008806099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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