Abstract
The theoretical study of heat flow within finned heat exchangers is of considerable practical importance because of the extensive utilization of finned surfaces for heat transfer enhancement 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 its base subjected to a decayed exponential function of time in a 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: (1) normalize the governing partial differential equation subjected to the appropriate initial and boundary conditions, (2) take a Laplacian transform with respect to time, (3) utilize the integral method to solve the transformed system and (4) achieve and inverse Laplace transform by the Fourier series technique.
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