Thirteen-moment model kinetic equation and its parameters

Abstract

We propose the generalized model kinetic equation that represents a hybrid of the Shakhov equation and the ellipsoidal statistical Holway equation; this is the thirteen-moment equation. The constants of the equation are expressed at first in the terms of the transport coefficients, namely, the viscosity of a gas, its heat conductivity, and the self-diffusion coefficient. Next, the transport coefficients are expressed in terms of integral brackets; for the molecule–rigid sphere model these coefficients are brought to a number in the first and second approximations.