In the present study, the heat transfer rate and operating condi-
tions are specified. The specific entropy generation rate is consid-
ered as the objective function and the total heat transfer area is
taken as a constraint. The heat transfer area allocation ratio, two
side heat transfer areas, fin heights as well as the fin spacing are
considered as decision parameters. The above model can be solved
iteratively, thus, the specific entropy generation rate
_
S
gu
and the
corresponding geometrical parameters of a plate-fin heat exchan-
ger, i.e., fin heights of both the hot- and cold-side as well as the
fin spacing, can be determined for a specific value of x with consid-
ering the total heat transfer area A as a constraint. The specific
entropy generation rate
_
S
gu
can be minimized by choosing an opti-
mal x subject to a finite heat transfer area constraint. In the itera-
tive procedure, the numerical computation is considered to be
converged when the relative residual of the heat transfer rate
_
Q
is less than or equal to 10
3
for the specified heat transfer rate
_
Q
requirement. The above numerical model is programmed and
solved with the FORTRAN language, and the thermodynamic prop-
erties of working fluid are calculated with REFPROP software ver-
sion 7.1 [20] .
In the present study, the heat transfer rate and operating condi-tions are specified. The specific entropy generation rate is consid-ered as the objective function and the total heat transfer area istaken as a constraint. The heat transfer area allocation ratio, twoside heat transfer areas, fin heights as well as the fin spacing areconsidered as decision parameters. The above model can be solvediteratively, thus, the specific entropy generation rate_Sguand thecorresponding geometrical parameters of a plate-fin heat exchan-ger, i.e., fin heights of both the hot- and cold-side as well as thefin spacing, can be determined for a specific value of x with consid-ering the total heat transfer area A as a constraint. The specificentropy generation rate_Sgucan be minimized by choosing an opti-mal x subject to a finite heat transfer area constraint. In the itera-tive procedure, the numerical computation is considered to beconverged when the relative residual of the heat transfer rate_Qis less than or equal to 103for the specified heat transfer rate_Qrequirement. The above numerical model is programmed andsolved with the FORTRAN language, and the thermodynamic prop-erties of working fluid are calculated with REFPROP software ver-sion 7.1 [20] .
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