Applications of Heat, Mass and Fluid Boundary Layers PDF
Preview Applications of Heat, Mass and Fluid Boundary Layers
WOODHEAD PUBLISHING SERIES IN ENERGY APPLICATIONS OF HEAT, MASS AND FLUID BOUNDARY LAYERS Edited by R.O. FAGBENLE, O.M. AMOO, S. ALIU, A. FALANA 9780128179499.indd All Pages 21/01/2020 09:29 Applications of Heat, Mass and Fluid Boundary Layers This page intentionally left blank Woodhead Publishing Series in Energy Applications of Heat, Mass and Fluid Boundary Layers Edited by R.O. Fagbenle Center for Petroleum, Energy Economics and Law, CPEEL (A John D. and Catherine T. McArthur Center of Excellence) University of Ibadan Ibadan, Oyo State, Nigeria O.M. Amoo Department of Mechanical Engineering University of Ibadan Ibadan, Oyo State, Nigeria S. Aliu Department of Mechanical Engineering University of Benin Benin City, Nigeria A. Falana Department of Mechanical Engineering University of Ibadan Ibadan, Oyo State, Nigeria WoodheadPublishingisanimprintofElsevier TheOfficers’MessBusinessCentre,RoystonRoad,Duxford,CB224QH,UnitedKingdom 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates TheBoulevard,LangfordLane,Kidlington,OX51GB,UnitedKingdom Copyright©2020ElsevierLtd.Allrightsreserved. MATLAB®isatrademarkofTheMathWorks,Inc.andisusedwithpermission. TheMathWorksdoesnotwarranttheaccuracyofthetextorexercisesinthisbook. Thisbook’suseordiscussionofMATLAB®softwareorrelatedproductsdoesnotconstituteendorsement orsponsorshipbyTheMathWorksofaparticularpedagogicalapproachorparticularuseofthe MATLAB®software. 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Practitionersandresearchersmustalwaysrelyontheirownexperienceandknowledgeinevaluatingand usinganyinformation,methods,compounds,orexperimentsdescribedherein.Inusingsuch informationormethodstheyshouldbemindfuloftheirownsafetyandthesafetyofothers,including partiesforwhomtheyhaveaprofessionalresponsibility. Tothefullestextentofthelaw,neitherthePublishernortheauthors,contributors,oreditors,assume anyliabilityforanyinjuryand/ordamagetopersonsorpropertyasamatterofproductsliability, negligenceorotherwise,orfromanyuseoroperationofanymethods,products,instructions,orideas containedinthematerialherein. LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN:978-0-12-817949-9 ForinformationonallWoodheadPublishingpublications visitourwebsiteathttps://www.elsevier.com/books-and-journals Publisher:BrianRomer AcquisitionEditor:MariaConvey EditorialProjectManager:JoannaCollett ProductionProjectManager:JoyChristelNeumarin HonestThangiah Designer:VictoriaPearson TypesetbyVTeX Thisseminalvolumeisdedicatedtotheblessedandlovingmemoryof ProfessorBeiTseChaooftheUniversityofIllinoisUrbana-Champaign (1918–2011)andtotherecentpassinginJune2019ofProfessorRichard OlayiwolaFagbenle(1943–2019),duringthecourseofthiswork,andalsoto allthoselookingtoexaminethingsfromadifferentperspective,toseethings withnotjusttheeyeofanalysis,butalsocuriosity.Prof.Fagbenlewasa doctoralstudentofProf.Chao,whilethethreeothereditorsofthisvolume werealldoctoralstudentsofProf.Fagbenle,intheareaoffluidboundary layertransfer. ProfessorBeiTseChao ProfessorRichardOlayiwolaFagbenle This page intentionally left blank Contents Listofcontributors xiii Preface xvii Acknowledgments xix 1 Physicsoffluidmotion 1 O.C.Okoye,B.O.Bolaji 1.1 Introduction 1 1.2 Thebasicequationsofviscousflow 2 1.3 Momentumequation 6 1.4 Velocityslipandtemperaturejump 19 References 20 2 Mechanismsofheattransferandboundarylayers 23 SufianuAliu,O.M.Amoo,FelixIlesanmiAlao,S.O.Ajadi 2.1 Introduction 23 2.2 Heattransfer 23 2.3 Modesofheattransfer 24 2.4 Theboundarylayerequations 29 2.5 Internalboundarylayerflows 40 2.6 Externalboundarylayerflows 40 2.7 Wakeandjetboundarylayers 42 2.8 Hydrodynamicboundarylayerstability 43 2.9 Practicalapplicationsofboundarylayerflow 48 2.10 Conclusions 52 References 52 3 Onsomebasicsofcompressiblefluidflows 55 FelixIlesanmiAlao,SamsonBabatunde Nomenclature 55 3.1 Introduction 56 3.2 Fundamentalassumption 57 3.3 Basicequationsofcompressiblefluidflow 58 3.4 Entropyfactors 63 3.5 Anoteonapplicationsofcompressiblefluidflow 65 References 65 viii Contents 4 Boundarylayerequationsinfluiddynamics 67 HafeezY.Hafeez,ChifuE.Ndikilar 4.1 Thecontinuityequation 67 4.2 Themomentumequations 68 4.3 Coutteflow 70 4.4 PlanePoiseuilleflow 71 4.5 HagenPoiseuilleflow(pipeflow) 72 4.6 Flowoverporouswall 74 4.7 Flowbetweenplateswithbottominjectionandtopsuction 75 4.8 Flowinaporousduct 78 4.9 Approximateanalyticsolution(perturbation) 81 4.10 Numericalsolution 84 4.11 Theboundary-layerequations 85 4.12 Influenceofboundarylayeronexternalflow 87 4.13 Theflat-plateboundarylayer 91 References 94 5 TheMerk–Chao–Fagbenlemethodforlaminarboundarylayer analysis 95 R.LayiFagbenle,LeyeM.Amoo,S.Aliu,A.Falana 5.1 Introduction 95 5.2 Historicalperspectivesofseries-basedmethodsandthe Merk–Chao–Fagbenle(MCF)procedure 97 5.3 MathematicalformulationsoftheMerk–Chao–Fagbenlemethod 101 5.4 Forcedconvectionflowoverasphere 119 5.5 Forcedconvectionoversears’airfoils 121 5.6 Considerationinforcedconvection(nonisothermal)boundary layertransfer 124 5.7 Considerationinmixedconvectionboundarylayertransfer 127 5.8 Considerationfornanofluidsandotherextensionsofthe methodology 127 5.9 Conclusion 128 References 128 6 Thespectral-homotopyanalysismethod(SHAM)forsolutionsof boundarylayerproblems 133 S.S.Motsa,Z.G.Makukula 6.1 Introduction 133 6.2 Thespectral-homotopyanalysismethod(SHAM) 133 6.3 Examples 137 6.4 ProsandConsoftheSHAM 146 6.5 Conclusion 147 References 147 Contents ix 7 OnanewnumericalapproachofMHDmixedconvectionflowwith heatandmasstransferofamicropolarfluidoveranunsteady stretchingsheetinthepresenceofviscousdissipationandthermal radiation 149 S.Shateyi,G.T.Marewo Nomenclature 149 7.1 Introduction 150 7.2 Mathematicalformulation 152 7.3 Similarityanalysis 153 7.4 Methodsofsolution 155 7.5 Resultsanddiscussion 159 7.6 Conclusion 172 Acknowledgment 175 References 175 8 Onthebivariatespectralquasilinearizationmethodfornonlinear boundarylayerpartialdifferentialequations 177 VusiM.Magagula,SandileS.Motsa,PreciousSibanda 8.1 Introduction 177 8.2 Bivariateinterpolatedspectralquasilinearizationmethod 179 8.3 Resultsanddiscussion 183 8.4 Conclusion 188 Acknowledgments 189 References 189 9 Mixedconvectionheattransferinrotatingellipticcoolantchannels 191 OlumuyiwaAjaniLasode 9.1 Introduction 191 9.2 Governingequationsforhorizontalellipticductrotatingin parallelmode 194 9.3 Governingequationsforverticalellipticductrotatinginparallel mode 199 9.4 Parameterperturbationanalysisforhorizontalellipticductsin parallelmoderotation 201 9.5 Parameterperturbationanalysisforverticalellipticductsin parallelmoderotation 221 9.6 Discussionandconclusionsoftheeffectsofthevariablesonfluid flowandheattransfer 225 References 230 10 Numericaltechniquesforthesolutionofthelaminarboundarylayer equations 233 O.M.Amoo,A.Falana 10.1 Introduction–laminarboundarylayerequations 233
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