Abstract
In the present study the optimum dimensions of circular rectangular and triangular profile fins with fin-to-fin and fin-to-base radiant interaction are determined. The basic assumptions are one-dimensional heat conduction and black surface radiation. The governing equations are formulated by means of dimensionless variables and solved numerically. The optimum fin dimensions, bore thickness and height, are presented in generalized dimensionless form and explicit correlations are provided for the dimensionless optimum parameters. The results are analyzed and reported in diagrams that give insight to the operational characteristics of the heat rejection mechanism.
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