On the Beavers–Joseph Interface Condition for Non-parallel Coupled Channel Flow over a Porous Structure at High Reynolds Numbers

A channel flow coupled with a transversal stream through porous structures is investigated numerically in this study. Velocity profiles are obtained on the pore scale and averaged to the macroscale in order to evaluate the validity of the Beavers–Joseph interface condition. For this purpose, differe...

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Bibliographic Details
Published in:	Transport in porous media 2019-06, Vol.128 (2), p.431-457
Main Authors:	Yang, Guang, Coltman, Edward, Weishaupt, Kilian, Terzis, Alexandros, Helmig, Rainer, Weigand, Bernhard
Format:	Article
Language:	eng
Subjects:	Channel flow Civil Engineering Classical and Continuum Physics Computational fluid dynamics Computer simulation Critical velocity Earth and Environmental Science Earth Sciences Fluid flow Geotechnical Engineering & Applied Earth Sciences Hydrogeology Hydrology/Water Resources Industrial Chemistry/Chemical Engineering Mathematical models Momentum transfer Ratios Reynolds number Velocity Velocity distribution
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Summary:	A channel flow coupled with a transversal stream through porous structures is investigated numerically in this study. Velocity profiles are obtained on the pore scale and averaged to the macroscale in order to evaluate the validity of the Beavers–Joseph interface condition. For this purpose, different ratios between the velocity at the inlet of the channel and the velocity at the base of the porous structure are considered. The effects of Reynolds number, velocity ratio, and geometrical arrangement of the porous structure on the Beavers–Joseph constant are then examined. A critical velocity ratio is found where, for lower ratios, the interface momentum transfer is mainly affected by the channel flow and, for higher ratios, the flow in the porous structure governs. The uniformity of the Beavers–Joseph constant at the interface is found to decrease with increasing velocity ratios. The present results have then been compared with simulations from a coupled Navier–Stokes/Darcy–Forchheimer model.
ISSN:	0169-3913 1573-1634