Pseudo-turbulence models for compressible flow through random particle suspensions

TL;DR

This paper develops models for pseudo-turbulent Reynolds stress and energy transport in compressible particle-laden flows, extending incompressible models to subsonic regimes and enabling improved Euler-Lagrange simulations.

Contribution

It introduces new models for pseudo-turbulence in compressible flows, including a Lagrangian model for local Reynolds stress and energy transport closures, based on particle-resolved simulation data.

Findings

Model extends incompressible pseudo-turbulence models to subsonic compressible flows.

Lagrangian model correlates Reynolds stress with drag force around particles.

First models for pseudo-turbulent energy transport in compressible particle suspensions.

Abstract

A model for the pseudo-turbulent Reynolds stress tensor in compressible flows through monodisperse particle clouds is developed based on data from particle resolved numerical simulations. This model extends previous models for the incompressible regime to subsonic bulk Mach numbers. A Lagrangian model for the local pseudo-turbulent Reynolds stress around a particle, based on the correlation of a local estimate of the Reynolds stress and the drag force on the particle, is also presented. This model can be employed in Euler-Lagrange type simulations. Additionally, corresponding models for the pseudo-turbulent transport of turbulence kinetic energy, the velocity triple-correlation in the volume averaged total energy equation, is also introduced as a first effort aimed at closing the energy equation.