Campus Units

Chemical and Biological Engineering, Ames Laboratory

Document Type

Article

Research Focus Area

Computational Fluid Dynamics

Publication Version

Submitted Manuscript

Publication Date

10-9-2019

Journal or Book Title

International Journal of Multiphase Flow

First Page

103138

DOI

10.1016/j.ijmultiphaseflow.2019.103138

Abstract

In this work, we present a rigorous derivation of the volume-filtered viscous compressible Navier–Stokes equations for disperse two-phase flows. Compared to incompressible flows, many new unclosed terms appear. These terms are quantified via a posteriori filtering of two-dimensional direct simulations of shock-particle interactions. We demonstrate that the pseudo-turbulent kinetic energy (PTKE) systematically acts to reduce the local gas-phase pressure and consequently increase the local Mach number. Its magnitude varies with volume fraction and filter size, which can be characterized using a Knudsen number based on the filter size and inter-particle spacing. A transport equation for PTKE is derived and closure models are proposed to accurately capture its evolution. The resulting set of volume-filtered equations are implemented within a high-order Eulerian–Lagrangian framework. An interphase coupling strategy consistent with the volume filtered formulation is employed to ensure grid convergence. Finally PTKE obtained from the volume-filtered Eulerian–Lagrangian simulations are compared to a series of two- and three-dimensional direct simulations of shocks passing through stationary particles.

Comments

This is a manuscript of an article published as Shallcross, Gregory S., Rodney O. Fox, and Jesse Capecelatro. "A volume-filtered description of compressible particle-laden flows." International Journal of Multiphase Flow (2019): 103138. DOI: 10.1016/j.ijmultiphaseflow.2019.103138. Posted with permission.

Copyright Owner

Elsevier Ltd.

Language

en

File Format

application/pdf

Published Version

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