Formulation of Gyarmati's principle for heat conduction equation

Abstract

Gyarmati's principle is formulated in various pictures for the heat conduction phenomenon in solid. Since the heat current density and the internal energy function can be given in three different pictures for heat conduction phenomena, we get the nine forms of the principle from which the heat conduction equation can be derived. This formulation has been shown using the generalized Γ picture. In the subsequent section the principle is formulated in proper Γ picture from which three proper pictures namely Fourier, entropy and energy follow.