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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v2.i3.50
pages 277-294

Nonlinear Effects in Multiple Regime Transport of Momentum in Longitudinal Capillary Porous Medium Morphology

V. S. Travkin
Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, California 90024-1597
Ivan Catton
Morin, Martinelli, Gier Memorial Heat Transfer Laboratory, Department of Mechanical and Aerospace Engineering, School of Engineering and Applied Science, University of California, Los Angeles, USA

ABSTRACT

Equations and consistent closure models based on volume averaging theory (VAT) are developed for transport of momentum, heat, and mass species in a medium with irregularities in a substantially regular porous medium. One-dimensional straight parallel pore morphology (SPPM) is chosen because analytical solutions for bulk permeability and dispersion coefficients can be obtained. A single-phase fluid medium is considered with the potential for accompanying transport of a dilute specie. Numerical simulation results are presented for a canonical morphology consisting of specified, stationary distributions of binary and random diameter distributions of straight pores. Unexpected results were obtained for various flow regime momentum transports in irregular media, demonstrating the influence of deviations in the porous medium’s morphology. A Poiseuille-like equation is derived for this morphology that has no adjustable parameters.


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