Higher order heat and mass transfer equations and their justification in extended irreversible thermodynamics

Abstract

Three models leading to higher order heat conduction and diffusion equations are considered. A thermodynamic substantiation is suggested for constitutive equations in the framework of extended irreversible thermodynamics. Expressions for generalized temperature and generalized chemical potentials are presented, which are determined by the form of the constitutive laws describing the heat conduction and diffusion processes.