Entropy Minimum Principle Applied to Boundary Value Problem of Non-Linear Heat Conduction

Abstract

Author studied mechanism of unsteady heat conduction based upon 1st and 2nd law of irreversible thermodynamics, and arrived at "minimum principle of integrated entropy in the continious single component system. In order to compute by this principle, we must use calculus of variation" as its technique.In this paper, we can show the solution of boundary value problem of non-linear unsteady heat conduction in the heating process when thermal constants are leanear function of temperature by example of heating of plate, and obtain physical meaning of non-linear problem in heating.