A constant heat transfer coefficient is often assumed in the computation of the temperature distribution along an extended surface. This assumption permits the use of a well-established closed form analytical solution thus simplifying the mathematical complexity of the conservation energy equation. For certain fin geometries, this assumption will lead to poor prediction of the thermal performance of the extended surface especially for tapered and triangular fins. In this study, a generalized analytical solution was developed that permits the computation of heat loss from an extended surface based on variable heat transfer coefficient, fin geometry, and surface curvature. The influence of these parameters on fin efficiency for typical fins is reported.

1.
Incropera, F. P., and Dewitt, D. P., 2000, Fundamentals of Heat Transfer, John Wiley and Sons, Inc., New York.
2.
Kraus, A. D., Aziz, A., and Welty, J., 2001, Extended Surface Heat Transfer, John Wiley and Sons, Inc., New York.
3.
Heggs
,
P. J.
,
Ingham
,
D. B.
, and
Manzoor
,
M.
,
1981
, “
The Effects of Non-Uniform Heat Transfer from an Annular Fin of Triangular Profile
,”
ASME J. Heat Transfer
,
103
, pp.
184
185
.
4.
Hung
,
H. M.
, and
Appl
,
F. C.
,
1967
, “
Heat Transfer of Thin Fins with Temperature-Dependent Thermal Properties and Internal Heat Generation
,”
ASME J. Heat Transfer
,
89
, pp.
155
162
.
5.
Unal
,
H. C.
,
1985
, “
Determination of the Temperature Distribution in an Extended Surface with a Non-Uniform Heat Transfer Coefficient
,”
Int. J. Heat Mass Transfer
,
28
, pp.
2279
2284
.
6.
Laor
,
K.
, and
Kalman
,
H.
,
1996
, “
Performance and Optimum Dimensions of Different Cooling Fins with a Temperature-Dependent Heat Transfer Coefficient
,”
Int. J. Heat Mass Transfer
,
39
, pp.
1993
2003
.
7.
Stachiewicz
,
J. W.
,
1969
, “
Effect of Variation of Local Film Coefficients on Fin Performance
,”
ASME J. Heat Transfer
,
91
, pp.
21
26
.
8.
Beck, J. V., Cole, K., Haji-Sheikh, A., and Litkouhi, B., 1992, Heat Conduction Using Green’s Functions, Hemisphere Publ. Corp., Washington, DC.
9.
Kantorovich, L. V., and Krylov, V. I., 1956, Approximate Methods of Higher Analysis, Wiley, New York.
10.
Wolfram, S., 1996, The Mathematica, Cambridge University Press, Cambridge, UK.
11.
The I-DEAS Electronic System Cooling User’s Guide, 1995, MAYA Heat Transfer Technologies.
You do not currently have access to this content.