Kinetic Theory and Hydrodynamics of Dense, Reacting Fluids far from Equilibrium

TL;DR

This paper develops a kinetic theory framework for dense, reacting fluids far from equilibrium, deriving exact balance equations and analyzing the applicability of reaction-diffusion models in complex fluid dynamics.

Contribution

It introduces a kinetic theory for reacting dense fluids, deriving Navier-Stokes-reaction equations using the Enskog approximation and Chapman-Enskog method.

Findings

Reaction-diffusion models have limited applicability in dense, reacting fluids.

Derived exact balance equations for concentration, density, velocity, and temperature.

Analyzed the impact of reaction speed assumptions on fluid dynamics equations.

Abstract

The kinetic theory for a fluid of hard spheres which undergo endothermic and/or exothermic reactions with mass transfer is developed. The exact balance equations for concentration, density, velocity and temperature are derived. The Enskog approximation is discussed and used as the basis for the derivation, via the Chapman-Enskog procedure, of the Navier-Stokes-reaction equations under various assumptions about the speed of the chemical reactions. It is shown that the phenomenological description consisting of a reaction-diffusion equation with a convective coupling to the Navier-Stokes equations is of limited applicability.