Structure of mass, momentum, and energy transfer equations under highly nonequilibrium conditions

Abstract

The structure of mass, momentum, and energy transfer equations under highly non-equilibrium conditions is considered when the traditional assumption of nonequilibrium thermodynamics (the local equilibrium condition) is violated. The derived transfer equations based on particle mass, momentum, and the law of energy conservation are related to heterogeneous systems with arbitrary density, i.e., for three aggregate states and their interfaces. Fluxes of the mentioned properties are described at the atomic-molecular level by nonequilibrium discrete unary and binary distribution functions (in the lattice gas model) with regard to interparticle potential interactions of system components. It is found that the total set of local transfer equations consists of five modified mass, momentum, and energy transfer equations for each of the system sites, and of 15 new equations describing the correlated characteristics of the density, rate, and temperature for the sites of a pair. The relationship between the derived equations and previous theories is discussed.