Analysis of Transient Heat Transfer in Straight Fins of Various Shapes with Its Base Subjected to a Constant Heat Flux

Abstract

The theoretical study of the heat flow within finned heat exchangers is of considerable practical Importance because of the extensive utilization of a finned surface for heat transfer enchancement in applications varying from air-cooled heat exchangers in the process industries to heat rejection equipment in space vehicles. This paper investigates the transient heat transfer in two-dimensional straight fins of various shapes with the base subjected to a constant heat flux. In order to obtain the solutions of the governing equation which is a partial differential equation, the following procedures of analysis should be performed: •Normalize the governing partial differential equation subjected to the appropriate tuitial and boundary conditions.•Take the Laplace transform with respect to time.•Utilize the integral method to solve the transformed system.•Achieve the inverse Laplace transform by the Fourier series technique.