Abstract—The paper is based on the analysis of unsteady heat conduction through short fin with applicability of quasi theory. “The area exposed to the surrounding is frequently increased by the attachment of protrusions to the surfaces, and the arrangement provides a means by which heat transfer rate can be substantially improved. The protrusions are called fins”. The fins are commonly used on small power developing machine as engine used for motor cycle as well as small capacity compressor. Earlier, Work under steady state conduction had been carried out extensively. Unsteady heat conduction analysis for the fins is being done for calculation of heat transfer. Unsteady Closed form solutions had been derived earlier by various researchers. Exact solutions are given for the unsteady temperature in flux-base fins with the method of Green’s Functions (GF) in the form of infinite series for three different tip conditions. The time of convergence is improved by replacing the series part by closed form solution. The present study supplies a new approach to calculate the thermal performance of the short fin. For the short fin case, exact fin solution and a quasi-steady solution is presented. Numerical values are presented and the conditions under which the quasi-steady solution is accurate are determined. Dimensionless temperature distribution is presented for both quasi steady theory and exact fin theory.

Index Terms—Unsteady heat, Green function, Protrusion, Heat transfer

Cite: Tejpratap Singh, Sanjeev Shrivastava, and Harbans Singh Ber, "Analysis of Unsteady Heat Conduction through Short Fin with Applicability of Quasi Theory," International Journal of Mechanical Engineering and Robotics Research, Vol.2, No. 1, pp. 269-283, January 2013.