Heat transfer problem of a dense gas described by the Enskog equation with a modification of the Enskog factor

Abstract

Heat transfer in a dense gas between two parallel plates is studied for assessing the quantitative difference of two variants of the Enskog equation, i.e., the original Enskog equation and the Enskog equation with a modified Enskog factor recently proposed in Phys. Rev. E \textbf{111}, 065108 (2025). The main advantage of the latter is that the H theorem, which is lacking in the former, has been established. The influence of the modification is assessed by comparing the macroscopic quantities in details. It is found that the influence of this modification is quite limited in the density, temperature, and heat flow vector. However, the influence on the stress tensor is visible in some severe setting of parameters.