Abstract
The optimum dimensions of rectangular longitudinal radiating fins with radiant interaction between the fin and its base are determined. The basic assumptions are one-dimensional heat conduction and ideal black-surface radiation. The governing differential equation is formulated by means of dimensionless variables and is solved using a variable-step Runge-Kutta [1, 2] algorithm, with local extrapolation [3], in order to carry out the required minimization procedure. The optimum thickness, height, and percent contribution of the fin heat dissipation are presented in dimensionless form in several diagrams that give insight into the operational characteristics of the heat rejection mechanism. It has been found that the results are strongly affected by the surface Biot number Br = hrR/k. Several examples that highlight design criteria with regard to the selection of the material, amount of heat rejected, and tube and fin base temperature are given. A comparison of our results with those existing in the literature shows some significant differences that are discussed.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call