An Inertial Cell Model for the Drag Force in Multi-phase Flow

TL;DR

This paper introduces a novel inertial cell model for calculating drag force in multi-phase flow, combining a cell-averaged approach with Reynolds number extrapolation, enhancing Euler-Lagrange and Euler-Euler simulations.

Contribution

It presents a new inertial cell model for drag coefficient estimation applicable across various flow regimes, improving multi-phase flow modeling accuracy.

Findings

Model effectively predicts drag force across Reynolds numbers.

Provides a dynamic bed equation for Euler-Euler modeling.

Offers an alternative to isolated particle drag coefficients.

Abstract

A new model for the drag coefficient of a sphere in a concentrated system is described. It is based upon a cell-averaged model for the Stokes regime combined with a physically motivated extrapolation to arbitrary Reynolds number. It can be used as an alternative to the isolated particle drag coefficient in Euler-Lagrange modelling of solid-liquid multi-phase flow.The corresponding drag force also provides a dynamic bed equation for use in Euler-Euler modelling.