Slip flow through porous media with permeable boundaries: implications for the dimensional scaling of packed beds

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Abstract:

ABSTRACT:

A theoretical description of single-phase flow through porous media having permeable boundaries is presented. The volume averaged momentum transfer equation is solved numerically by a finite difference technique after neglecting the nonlinear inertia term. The influence of fluid slip on axial velocity profiles and wall skin friction is analyzed as a function of cross-flow and the porous medium shape factor. Boundary effects on momentum transfer are quantified. The implications for the design of scale models for porous media such as filters, adsorber columns, and aeration towers are discussed. In accordance with experimental data obtained by other researchers, it is shown that in most cases, additional viscous dissipation effects due to the presence of boundaries are expected to be insignificant even in laboratory-scale models only a few packing element diameters wide.

Keywords: air stripping; filtration; non-Darcy flow; porous media; slip velocity; wall effects

Document Type: Research Article

DOI: http://dx.doi.org/10.2175/WER.65.6.6

Publication date: September 1, 1993

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  • Water Environment Research® (WER®) publishes peer-reviewed research papers, research notes, state-of-the-art and critical reviews on original, fundamental and applied research in all scientific and technical areas related to water quality, pollution control, and management. An annual Literature Review provides a review of published books and articles on water quality topics from the previous year.

    Published as: Sewage Works Journal, 1928 - 1949; Sewage and Industrial Wastes, 1950 - 1959; Journal Water Pollution Control Federation, 1959 - Oct 1989; Research Journal Water Pollution Control Federation, Nov 1989 - 1991; Water Environment Research, 1992 - present.
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