M M M
SOLUTIONS MANUAL
M
,TABLE OF CONTENTS
M M
1. Classification of Heat Exchangers
M M M
2. Basic Design Methods of Heat Exchangers
M M M M M
3. Forced Convection Correlations for the Single-
M M M M M
Phase Side of Heat Exchangers
M M M M
4. Heat Exchanger Pressure Drop and Pumping Power
M M M M M M
5. Micro/Nano Heat Transfer M M
6. Fouling of Heat Exchangers
M M M
7. Double-Pipe Heat ExchangersM M
8. Design Correlations for Condensers and Evaporators
M M M M M
9. Shell-and-Tube Heat Exchangers M M
10. Compact Heat Exchangers
M M
11. Gasketed-Plate Heat Exchangers M M
12. Condensers and EvaporatorsM M
13. Polymer Heat Exchangers
M M
,ProblemM2.1
StartingMfromMEq.M(2.22),MshowMthatMforMaMparallelflowMheatMexchanger,MEq.M(2.26a)
becomes
T2 M 1
2
MexpM UA
TM M MC 1
T
SOLUTION:
TheMheatMtransferredMacrossMtheMareaMd
AMis: (1)
QM=MUThM MTcMdA
TheM heatM transferM rateM canM alsoM beM writtenM asM theM changeM inM enthalpyM ofM eachM flui
dM (withM theMcorrectMsign)MbetweenMtheMareaMAMandMA+dA:
* forMtheMhotMfluidM(dTh<0)
QM=M-mM hcp,hdTh (2)
* forMtheMcoldMfluidM(dTc>0)
QM=MmMccp,cdTc (3)
TheMnotionMofMheatMcapacityMcanMbeMintroduce
dMas: (4)
CM=MmMcp
ThisMparameterMrepresentsMtheMrateMofMheatMtransferredMbyMaMfluidMwhenMitsMtemperatur
eMvariesM withMoneMdegree.
TheMequationM(2)MandM(3)Mgive:
QM=M- (5)
ChdThM MCcdTc
EquationsM(1)MandM(5)Mgive:
M dThM U
M
MM
M
(6)
dAMThM MTc
Ch
dTc UM
MM (7)
M ThM dAMC
c
MTc
SubtractingMequationM(7)MfromM(6):
Md(ThM MTcM)M
M 1 - (8)
1 M M
M M Ud
A
ThMMTc MCcM M ChM
ConsideringMtheMoverallMheatMtransferMcoefficientMU=constant,MequationM(8)McanMbeMintegrated:
M 1 M
ln1TMMMMTM MM - (9)
M UAM+MlnB
h c C C
M M c hM
, M 1 1M
ThM MTcM MBexpM -M MUA
CM M
CM
c hM
M (10)