Abstract

This paper uses the entropy generation minimization (EGM) method to optimize a single-phase, convective, fully developed flow with uniform and constant heat flux. For fixed mass flow rate and fixed total heat transfer rate, and the assumption of uniform and constant heat flux, an optimal Reynolds number for laminar and turbulent flow is obtained. The study also compares optimal Reynolds number and minimum entropy generation for cross sections: square, equilateral triangle, and rectangle with aspect ratios of two and eight. The rectangle with aspect ratio of eight had the smallest optimal Reynolds number, the smallest entropy generation number, and the smallest flow length.

References

1.
Bejan
,
A.
,
1982
, “
Second-Law Analysis in Heat Transfer and Thermal Design
,”
Adv. Heat Transfer
,
15
, pp.
1
58
.
2.
Bejan, A., 1982, Entropy Generation Through Heat and Fluid Flow, Wiley, New York.
3.
Bejan
,
A.
,
1980
, “
Second Law Analysis in Heat Transfer
,”
Energy
,
5
, pp.
721
732
.
4.
Bejan
,
A.
,
1978
, “
General Criterion for Rating Heat-Exchanger Performance
,”
Int. J. Heat Mass Transfer
,
21
, pp.
655
658
.
5.
Bejan
,
A.
,
1979
, “
A Study of Entropy Generation in Fundamental Convective Heat Transfer
,”
ASME J. Heat Transfer
,
101
(
4
), pp.
718
725
.
6.
Bejan, A., 1988, Advanced Engineering Thermodynamics, Wiley, New York, pp. 594–598.
7.
Sahin
,
A. Z.
,
1996
, “
Thermodynamics of Laminar Viscous Flow Through a Duct Subjected to Constant Heat Flux
,”
Energy
,
21
(
12
), pp.
1179
1187
.
8.
Sahin
,
A. Z.
,
2002
, “
Entropy Generation and Pumping Power in a Turbulent Fluid Flow Through a Smooth Pipe Subjected to Constant Heat Flux
,”
Exergy-an International Journal
,
2
, pp.
314
321
.
9.
Sahin
,
A. Z.
,
1998
, “
Irreversibilities in Various Duct Geometries With Constant Wall Heat Flux and Laminar Flow
,”
Energy
,
23
(
6
), pp.
465
473
.
10.
Nag
,
P. K.
, and
Mukherjee
,
P.
,
1987
, “
Thermodynamic Optimization of Convective Heat Transfer Through a Duct With Constant Wall Temperature
,”
Int. J. Heat Mass Transfer
,
30
, pp.
401
405
.
11.
Sahin
,
A. Z.
,
2000
, “
Entropy Generation in Turbulent Liquid Flow Through a Smooth Duct Subjected to Constant Wall Temperature
,”
Int. J. Heat Mass Transfer
,
43
, pp.
1469
1478
.
12.
Ratts, E. B., and Raut, A., 2003, “Entropy Generation Minimization of Fully-Developed Internal Convective Flows With Constant Heat Flux,” Proceedings of 2003 ASME Summer Heat Transfer Conference, ASME, New York.
13.
Cengel, Y. A., 2003, Heat Transfer: A Practical Approach, 2nd Ed., McGraw-Hill, New York, p. 437.
14.
Ozisik, M. N., 1985, Heat Transfer: A Basic Approach, 1st Ed., McGraw-Hill, New York.
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