A second order constitutive theory for polyatomic gases: theory and applications

TL;DR

This paper develops second-order constitutive equations for polyatomic gases within the classical irreversible thermodynamics framework, incorporating quadratic nonlinearities in the entropy flux to improve modeling accuracy.

Contribution

It introduces a novel derivation of second-order constitutive equations for polyatomic gases, allowing quadratic nonlinearities in the entropy flux, extending classical models.

Findings

Derived second-order constitutive equations for polyatomic gases.

Incorporated quadratic nonlinearities in the entropy flux.

Enhanced the theoretical framework for gas modeling.

Abstract

In the classical irreversible thermodynamics (CIT) framework, the Navier Stokes Fourier (NSF) constitutive equations are obtained so as they satisfy the entropy inequality, by and large assuming that the entropy flux is equal to the heat flux over the temperature. This article is focused on the derivation of second-order constitutive equations for polyatomic gases; it takes the basis of CIT, but most importantly, allowing up to quadratic nonlinearities in the entropy flux.