The optimum dimensions of trapezoidal profile radiating and convective-radiating circular fins have been determined. A step-by-step derivation of the governing equations is given, which are set forth in a non-dimensional form and solved numerically. Consideration is given to both zero and non-zero environmental temperature and environmental irradiation. The analysis is based on the following simplifying assumptions: one-dimensional conduction, insulated tip, length of arc idealization (LAI), and negligible fin-to-base radiant interaction. The influence of the thermal conductivity, emissivity and other parameters upon the optimum dimensions has been analyzed. The results are generalized by expressing the optimum bore thickness, tip radius, heat dissipation, and volume in dimensionless form. Simple correlations have been derived that can be employed to readily obtain the optimum fin dimensions for a specified heat transfer rate or fin's weight without the use of any graphs and/or interpolations. Two example...

The Optimum Design of Radiating and Convective-Radiating Circular Fins

This article presents the optimum design of a radiating radial fin of trapezoidal profile. Optimum parameters for rectangular and triangular profiles are given in the form of simple correlations. Using these, the base thickness and the length of the fin can be easily determined from the given data of heat dissipation, thermal conductivity, emittance, base radius, base temperature, and environment temperature.

C. K. Krishnaprakas

Papers

Minimum Mass Design of Radiating Radial Fin of Trapezoidal Profile