H-Theorem and Boundary Conditions for Two-Temperature Model: Application to Wave Propagation and Heat Transfer in Polyatomic Gases

TL;DR

This paper develops a reduced two-temperature model for polyatomic gases, incorporating boundary conditions consistent with the second law, to improve understanding of heat transfer and sound propagation in non-equilibrium conditions.

Contribution

It introduces a novel reduced two-temperature model with phenomenological boundary conditions for polyatomic gases, enhancing simulation accuracy and computational efficiency.

Findings

Accurate modeling of heat transfer between plates.

Insights into sound wave behavior in polyatomic gases.

Analysis of Rayleigh-Brillouin scattering phenomena.

Abstract

Polyatomic gases find numerous applications across various scientific and technological fields, necessitating a quantitative understanding of their behavior in non-equilibrium conditions. In this study, we investigate the behavior of rarefied polyatomic gases, particularly focusing on heat transfer and sound propagation phenomena. By utilizing a two-temperature model, we establish constitutive equations for internal and translational heat fluxes based on the second law of thermodynamics. A novel reduced two-temperature model is proposed, which accurately describes the system's behavior while reducing computational complexity. Additionally, we develop phenomenological boundary conditions adhering to the second law, enabling the simulation of gas-surface interactions. The phenomenological coefficients in the constitutive equations and boundary conditions are determined by comparison with relevant literature. Our computational analysis includes conductive heat transfer between parallel plates, examination of sound wave behavior, and exploration of spontaneous Rayleigh-Brillouin scattering. The results provide valuable insights into the dynamics of polyatomic gases, contributing to various technological applications involving heat transfer and sound propagation.