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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v2.i3.60
pages 295-308

A Continuum Approach to Multiphase Flows in Porous Media

Shijie Liu
Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Canada T6G 2G6

ABSTRACT

The volume averaging technique is revisited for multiphase flows in isotropic rigid porous media/packed columns. The tortuosity effect is introduced into the averaging procedure for gradients and flow velocities. Seven averaging rules are derived including summation, product, gradient, and divergence rules. Closures are proposed for the evaluation of the extra surface/intrinsic phase integral terms arising from the averaging of the divergence of a flux. Applying the volume averaging rules, the governing equations for multiphase flows are obtained. Both inertia and interphase interactions are retained in the volume averaged equations. Therefore, the governing equations derived in this study can be used to solve for the problems of multiphase flows in packed distillation and absorption towers. It is found that the dispersion term is present in the continuity equation as well as the momentum equations.


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