Abstract
In this paper, a new analytical method for the boundary value problem of the nonlinear unsteady heat conduction with temperature dependent thermal properties is presented. Two non-equilibrium integral functions have been introduced : the function of the thermal conductivity φ1(ψ) and the function of the heat capacity φ2(ψ). By setting the integration intervals of these functions to satisfy the relation φ1(ψ) =φ2(ψ), the nonlinear heat conduction equation could be linearlized. This method is applicable to the cases such as linear, quadratic and exponential variations of the thermal conductivity and heat capacity.
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