M. Rahimi-Gorji - Master Student in mechanical Engineering Babol Noshirvani university of technology
O Pourmehran - Master Student in mechanical Engineering Babol Noshirvani university of technology
A.K Rostami - Master Student in mechanical Engineering Babol Noshirvani university of technology
M. Gorji-Bandpy - Professor in mechanical Engineering Babol Noshirvani university of technology

In this Paper for solving the heat transfer equation of a fin with the power-law temperature-dependent both thermal conductivity and heat transfer coefficient, Numerical Method (Fourth order Runge- Kutta) is used. NuM solve the equations directly and no simplifications are needed. This is one of themost important different between NuM and approximation methods. The numerical investigation is carried out for different governing parameters. It was shown that NuM gave accurate results. These results have been indicated that this approach is very efficient and easy, so it can be applied forvarious differential equations particularly for difficult ones. Results are presented for the dimensionless temperature distribution and fin efficiency for different values of the problem parameters that on all of them an excellent accuracy is observed

Heat transfer equation; Power-law temperature-dependent; Numerical Method (Fourth order Runge-Kutta); Temperature distribution; Fin efficiency