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

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.