Solutions Manual For Fundamentals of Heat and Mass Transfer 8th Edition By Bergman, Lavine, Incropera, DeWitt (All Chapters, 100 Original Verified, A+ Grade)

Solutions Manuall




CONVECTIVE HEAT & l l l




MASS TRANSFER l




4TH EDITION
l



William M. Kays, Michael E. Crawford & Bernhard Weigand
l l l l l l l l

, SolutionslManual 1
ConvectivelHeatlandlMasslTransfer,l4thlEd.,lKays,lCrawford,landlWeigand




SolutionslManualltolaccompany

CONVECTIVE HEAT AND MASS TRANSFER
l l l l

FourthlEdition

WilliamlKays
EmerituslProfessorloflMechanicallEngineeringlStanf
ordlUniversity

Michaell CrawfordlProfessor
loflMechanicallEngineering

ThelUniversityloflTexaslatlAustin

BernhardlWeigand
ProfessorlandlHead,lInstituteloflAerospacelThermodynamicslUniversityl
oflStuttgart

,2 SolutionslManual
ConvectivelHeatlandlMasslTransfer,l4thlEd.,lKays,lCrawford,landlWeigand


AnlIntroductorylNote

Someloflthelproblemslinltheltextlarelbrieflexerciseslleadingltolsinglelnumericallorlalgeb
raiclresults,lbutlthelgreatlmajoritylarelmuchlmorelextensivelinvestigations,lsomelapproaching
lthelmagnitudelofltermlprojects.l Inlthellatterlcases,ltherelislusuallylnolsimplelanswer.lStudentli

nitiativelislencouragedlandlthislleadsltolresultslthatlmayldifferlnumericallylorlmaylinvolvelres
ultslnotlaskedlforlinlthelproblemlstatement.lInlanylcase,lthelauthorslplacelmorelvaluelonlalwritt
enldiscussionlatlthelendloflthelstudent'slpapers,landlonltheldevelopmentloflthelanalysis,lthanlo
nlnumericallresults.

Itlislnotlpracticableltolprovidelal"solutionslmanual"lcontaininglexamplesloflcompletelpa
perslforlassignmentsloflthislkind.lThelauthorslhavelchosenlratherltolprovide,linlalsomewhatlab
breviatedlform,lsomeloflthelkeylresultslforltheselproblems.lInlsomelcaseslratherlthanlgivelnum
ericallresults,lalbriefldiscussionloflhowltolattacklthelproblemlislprovided.lOnlylalsmalllfractionl
oflthelproblemslcanlbelusedlinlanylonelcourse,landlitlislhopedlthatlinstructorslwilllfindlalsuffici
entlnumberloflproblemsltolsatisfylalvarietyloflneeds,lincludingldifferingltasteslandlinterests,lan
dldifferinglteachinglstyles.

, SolutionslManuall-lChapterl4
ConvectivelHeatlandlMasslTransfer,l4thlEd.,lKays,lCrawford,landlWeigand revl092004


4-1

Considerlsteadylflowloflalconstant-
propertylfluidlinlallonglductlformedlbyltwolparallellplanes.lConsiderlalpointlsufficientlylfarlremovedlfro
mlthelductlentrancelthatlthelylcomponentloflvelocitylislzerolandl thel flowl isl entirelyl inl thelxl direction.l Wri
tel thelNavier–
Stokesl equationsl forl bothlthel xl andlyldirections.lWhatlcanlyouldeducelaboutlthelpressurelgradients?

Letlxl =lx,lxl =ly,lul =lu,landlul =lvlinlEq.l(4-17),landlthelx-directionlequationlbecomes
1 2 1 2


Pll 2u
=l
x x2

Similarly,lthelyl-ldirectionlequationlbecomes

Pl
=l0
y

Pl dP
Thus,lPl=lP(x)land =l .lThelfinallformloflthelx-directionlequationlbecomes
x dx

dPl dl2uld
=l l
x dly2l




3