Analytical Solution of Temperature Distribution in Space Radiator with Variable Thermal Conductivity

In this paper, variational iteration method is used to determine the temperature distribution of straight fins with temperature-dependent thermal conductivity. It is useful and practical method, which can be used to solve nonlinear heat radiation equations which are associated with variable thermal conductivity conditions. In this method, general Lagrange multipliers are introduced to construct correction functionals for the problems. The multipliers in the functionals can be identified optimally via variational theory. Comparison between numerical results and the approximate solutions obtained by this method shows a good agreement confirming the applicability of the proposed method.