HEAT CONDUCTED THROUGH FINS OF VARYING CROSS-SECTIONS

Abstract

The conduction of heat takes place through the fins or spines from particle to particle due to a temperature gradient in the direction of decreasing temperature. Heat is not lost equally by each element of the fin but is lost mostly near the base of the fin. Thus there would be a waste of the material if a uniform fin is used. These aspects demand the construction of fins of varying cross-sections like triangular fin, hyperbolic fin, and parabolic fin. The paper analyzes a triangular fin and a parabolic fin to find the rate of conduction of heat through them via Laplace Transform means. The results obtained are the same as obtained with other methods.