s rezazadeh - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Ayatollah Amoli, Iran
d.d ganji - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Ayatollah Amoli, Iran

In this study, highly accurate and simple analytical methods, Homotopy Analysis Method (HAM) is applied for predicting the temperature distribution in a trapezoidal and rectangular profiles Fin with Temperature Dependent Heat transfer Coefficient, thermal conductivity and Emissivity. It has been attempted to show the capabilities and wide-range applications of the HAM in comparison with the numerical method namely Boundary Value Problem method (BVP) in solving this problems. The results reveal that this method is very effective and simple

Homotopy Analysis Method, Fin, heat transfer coefficient, thermal conductivity, Emissivity