Kinetic Theory of Dense Fluid Mixtures. II. Solution to the Singlet Distribution Functions for the Rice—Allnatt Model

Abstract

The Rice—Allnatt theory of dense fluids has been extended to binary mixtures. It is shown that the linearized Rice—Allnatt equation for the singlet distribution function is a linear integral equation of the second kind. Moreover, it is shown that a simple modification of the Rice—Allnatt equation, the modification being of the same order of approximation as those utilized in deriving the equation, results in a linear equation admitting mass, momentum, and kinetic energy as homogeneous solutions, thus allowing the local hydrodynamic variables to be completely specified by the zero‐order solution to the integral equation. The singlet distribution functions are solved, and the binary diffusivity, thermal diffusion ratio, and kinetic contributions to thermal conductivity and viscosity are obtained.