In this paper, differential transform method (DTM) is used to solve the nonlinear
heat transfer equation of a fin with the power-law temperature-dependent both thermal
conductivity and heat transfer coefficient. Using DTM, the differential equation and the related
boundary conditions transformed into a recurrence set of equations and finally, the coefficients
of power series are obtained based on the solution of this set of equations. DTM overcame on
nonlinearity without using restrictive assumptions or linearization. Results are presented for the
dimensionless temperature distribution and fin efficiency for different values of the problem
parameters. DTM results are compared with special case of the problem that has an exact
closed-form solution, and an excellent accuracy is observed.
کلید واژگان :
Differential transform method; Nonlinear heat transfer equation; Power-law temperature dependent; Temperature distribu- tion; Fin efficiency
