A Material Utilization Factor for Quantifying the Performance of Optimal Shape Extended Surfaces of Minimum Volume

Author:

Kobus Chris J.1

Affiliation:

1. Oakland University

Abstract

Research has been undertaken here to determine a new fundamental parameter to judge the performance of optimally-shaped fins. Much research has been published on optimal shapes, but the gains have not been quantified explicitly versus even the constant cross-sectional area fin. Implicitly, optimum fins use less material to achieve the same or similar performance to that of the standard pin fin. But what performance is comparative? Thermal energy dissipation, fin effectiveness and fin efficiency are a few examples. As will be shown in this paper, a material utilization factor will be defined and the performance of an optimally shaped fin will be quantified with that of the standard pin fin for a variety of design conditions.

Publisher

ASMEDC

Reference14 articles.

1. Kern, D.Q. and Kraus, A.D., Extended Surface Heat Transfer, Chap 2, McGraw-Hill Book Company, NY (1972).

2. Kraus A. D. , “Sixty-Five years of Extended Surface Technology,” Appl Mech Rev., Vol. 41, No. 9, pp. 321–364 (1988).

3. Eckert, E.R.G.and Drake, Jr., R.M., Analyses of Heat and Mass Transfer, Chap 3 and 9, McGraw-Hill Book Company, NY (1972).

4. Snider A. D. and KrausA. D., “The Quest for the Optimum Longitudinal Fin Profile,” ASME Journal of Heat Transfer, Vol. 64, pp. 43–48 (1986).

5. Chung B. T. F. , TalbotD. J. and Van DykeJ. M., “A New Look at the Optimum Dimensions of Convective Splines,” AIChE Journal, Vol. 263, No. 84, pp. 108–113 (1988).

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