Onsager’s principle consistent 13 moments transport equations

Abstract

In this work, a new set of generalized transport equations consistent with Onsager’s reciprocity principle are derived using moments based approach. The utilized distribution function can be expressed in terms of thermodynamic forces and their fluxes and satisfies the Boltzmann H-theorem. The derived equations are compared with Grad’s 13 moments equations for monatomic gas modeled as Maxwellian molecule. The merits of the proposed distribution function against Grad’s distribution function are discussed along with other advantages of our approach.