Towards a better understanding of granular flows

TL;DR

This paper discusses a modified kinetic theory-based two-fluid model for granular flows that incorporates interparticle friction and saltation effects, aligning well with simulations and experiments to improve understanding of particle transport in fluids.

Contribution

It introduces a novel two-fluid model that accounts for interparticle friction and saltation, enhancing the predictive capability of granular flow behavior.

Findings

Model agrees with discrete simulations for various densities.

The model is consistent with experimental observations.

Incorporates friction and inelasticity effects into continuum modeling.

Abstract

Understanding the transport of particles immersed in a carrier fluid (bedload transport) is still an exciting challenge. Among the different types of gas-solid flows, when the dynamics of solid particles is essentially dominated by collisions between them, kinetic theory can be considered as a reliable tool to derive continuum approaches from a fundamental point of view. In a recent paper, Chassagne et al. [J. Fluid Mech. 964, A27, (2023)] have proposed a two-fluid model based on modifications to a classical kinetic theory model. First, in contrast to the classical model, the model proposed by Chassagne et al. (2023) takes into account the interparticle friction not only in the radial distribution function but also through an effective restitution coefficient in the rate of dissipation term of granular temperature. As a second modification, at the top of the bed where the volume fraction is quite small, the model accounts for the saltation regime in the continuum framework. The theoretical results derived from the model agree with discrete simulations for moderate and high densities and they are also consistent with experiments. Thus, the model proposed by Chassagne et al. (2023) helps to a better understanding on the combined impact of friction and inelasticity on the macroscopic properties of granular flows.