Twenty-six moment equations for the Enskog–Vlasov equation

The Enskog–Vlasov equation is a phenomenological kinetic that extends the Enskog for dense (non-ideal) hard-sphere fluid by adding an attractive soft potential tail to purely repulsive contribution. Simplifying assumptions about pair correlations lead Vlasov-like self-consistent force field adds non-local collision integral. Within limitations imposed underlying assumptions, extension gives ability give unified description of ideal and non-ideal flows as well those states in which liquid vapour regions coexist, being separated resolved interface. Furthermore, can be arbitrarily far from equilibrium. Thus model provides excellent, although approximate, tool modelling processes with liquid–vapour interfaces adjacent Knudsen layers, allows us look at slip, jump evaporation coefficients different perspective. Here, set 26 moment equations derived means Grad method. provide meaningful approximation equation, include layers. This work focuses on – rather involved derivation equations, only few applications shown.