| Summary: | Nowadays, with the development of heat transfer in various industrial fields, like as electrical and mechanical fields, we see the more effect of fins in this improvement. The computational price is hidden term of optimizing that can be included of CPU time and material optimizing can be included to modify the profile of fins. So in this paper have been investigated the heat transfer of fins with different profile (Convex, Concave, Triangular, Rectangular) in unsteady condition. The differential transform method (DTM) has been employed to solve this problem due in addition investigation of differences of temperature in fins, computational space become lesser. The boundary conditions are insulated tip with limited length and the thermal functions have been assumed for coefficient of heat transfer and conductivity. Then has been investigated the effect of relationship parameters like as (ε,β,θ,M). In unsteady condition these parameters are limited to one number that is useful in making optimum number. When β are increasing the temperate plot going in the upper level that show the efficiency going upper. In unsteady condition this parameter is limited to one number that it is very important for optimization by to build fins. Keywords: Rectangular fin, Convex fin, Concave fin, Triangular fin, DTM, Temperature-dependent thermal conductivity
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