Campus Units

Chemical and Biological Engineering, Mechanical Engineering

Document Type

Article

Research Focus Area

Computational Fluid Dynamics

Publication Version

Submitted Manuscript

Publication Date

5-2018

Journal or Book Title

Applied Mathematical Modelling

Volume

57

First Page

432

Last Page

447

DOI

10.1016/j.apm.2018.01.011

Abstract

The hyperbolicity condition of the system of partial differential equations (PDEs) of the incompressible two-fluid model, applied to gas–liquid flows, is investigated. It is shown that the addition of a dispersion term, which depends on the drag coefficient and the gradient of the gas volume fraction, ensures the hyperbolicity of the PDEs, and prevents the nonphysical onset of instabilities in the predicted multiphase flows upon grid refinement. A constraint to be satisfied by the coefficient of the dispersion term to ensure hyperbolicity is obtained. The effect of the dispersion term on the numerical solution and on its grid convergence is then illustrated with numerical experiments in a one-dimensional shock tube, in a column with a falling fluid, and in a two-dimensional bubble column.

Comments

This is a manuscript of an article published as Panicker, N., A. Passalacqua, and R. O. Fox. "On the hyperbolicity of the two-fluid model for gas–liquid bubbly flows." Applied Mathematical Modelling (2018). DOI: 10.1016/j.apm.2018.01.011. Posted with permission.

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Copyright Owner

Elsevier Inc.

Language

en

File Format

application/pdf

Available for download on Wednesday, May 01, 2019

Published Version

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