Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity

Most engineering problems, especially heat transfer equations, are mostly nonlinear. Homotopy analysis method (HAM) has been applied to solve many differential equations. In this paper, we use HAM to detect the fin efficiency of convective straight fins with temperature-dependent thermal conductivity. The results of the homotopy analysis method are compared with those of the exact solution and Adomian’s decomposition method (ADM) solved by Cihat Arslanturk.