Abstract
The solution of the optimization problem for convective pins with uniform internal heat generation is presented. Pins with constant thickness, triangular and parabolic profile are treated, and the cases considered are those of a given heat generation density, or total heat generation, when either the heat dissipation or the width of the pin is prescribed. The results are generalized, in a nondimensional form, and presented graphically. The effect of the pin's thermal conductivity upon the optimum dimensions is discussed, and limiting values of the heat generation and the heat dissipation, that may be imposed on the pin for a feasible optimization, are also obtained.
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