ARTICLE:

• RANGES AND LIMITATIONS OF OPTIMUM DESIGN FOR CONVECTING-RADIATING ANNULAR FINS OF TRAPEZOIDAL PROFILE  download article

B. T. F. Chung
University of Akron, Akron, USA

Y. Zhou
Global Communications Inc., Hollywood, USA

Y. Wang
University of Akron, Akron, USA

L. T. Yeh
Boeing Co. Houston, USA

ABSTRACT

This paper deals with a controversial problem in answering the question “Does the optimum fin design always exist? If not, what are the optimization ranges and limitations?” These authors employ a general example of convecting-radiating trapezoidal annular fin with heat transfer at the tip and wall resistance at the interface. The present results indicate that the answer to the above first question is negative. The ranges of fin optimum design under different thermal and physical conditions are proposed. The effects of Biot number, radiation number, the heat loss at the tip, fin profile and overall wall resistance on fin optimization range are investigated and discussed.

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