Hydrodynamics of polydisperse gas-solid flows: Kinetic theory and multifluid simulation
Abstract
Polydisperse gas-solid flows, which is notoriously difficult to model due to the complex gas-particle and particle-particle interactions, are widely encountered in industry. In this article, a refined kinetic theory for polydisperse flow is developed, which features single-parameter Chapman-Enskog expansion (the Knudsen number) and exact calculation of the integrations related to pair distribution function of particle velocity without any mathematical approximations. The Navier-Stokes order constitutive relations for multifluid modeling of polydisperse gas-solid flow are then obtained analytically, including the solid stress tensor, the solid-solid drag force, the granular heat flux and the energy dissipation rate. Finally, the model is preliminarily validated by comparing to the discrete element simulation data of one-dimensional granular shear flow and by showing that the hydrodynamic characteristics of gas-solid flows in a bubbling fluidized bed containing bidisperse particles can be successfully predicted.
Cite
@article{arxiv.2311.09495,
title = {Hydrodynamics of polydisperse gas-solid flows: Kinetic theory and multifluid simulation},
author = {Bidan Zhao and Kun Shi and Mingming He and Junwu Wang},
journal= {arXiv preprint arXiv:2311.09495},
year = {2024}
}