THE NEW METHOD FOR SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS ARISING IN CONVECTIVE STRAIGHT FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY

In this study, fin efficiency of convective straight fins with temperature-dependent thermal conductivity is solved using an analytical method called the Parameterized Perturbation Method (PPM). The concept of Parameterized Perturbation Method is briefly introduced and employed to derive solutions of nonlinear equation. The obtained results from PPM are compared with those from the Numerical Method and also Homotopy Analysis Method (HAM) and Variational Iteration Method (VIM) to verify the accuracy of the proposed method. The results reveal that the Parameterized Perturbation Method can achieve suitable results in predicting the solution of such problems. After this verification, the effects of some physical applicable parameters have been analyzed in this problem such as thermo-geometric fin parameter and thermal conductivity parameter.

Fin efficiency, Temperature dependent, Thermal conductivity, Parameterized Perturbation Method (PPM), Numerical Method (NM), Homotopy Analysis Method (HAM), Variational Iteration Method (VIM).