Temperature jump coefficients in polyatomic gas with strong translational/internal non-equilibrium

TL;DR

This paper investigates temperature jump coefficients in polyatomic gases under non-equilibrium conditions, deriving analytical expressions and numerical solutions for different collision regimes to improve understanding of gas flow behavior.

Contribution

It provides new analytical formulas for temperature jump coefficients in polyatomic gases with strong translational/internal non-equilibrium, validated by numerical solutions of the Boltzmann equation.

Findings

Derived analytical temperature profiles in near-continuum regime

Extracted first and second temperature jump coefficients

Fitted analytical expressions over a wide range of parameters

Abstract

The temperature jump problem in polyatomic gas flow with translational/internal non-equilibrium is investigated, where the internal temperature is excited by volumetric heating, while the translational temperature is heated via the inelastic translational-internal energy relaxation. In the near-continuum flow regime, analytical temperature profiles are derived, based on which the first and second temperature jump coefficients are extracted from the numerical solution of the Boltzmann equation. Analytical expressions for temperature jump coefficients are fitted over a wide range of inelastic collision number and accommodation coefficient.