NDLI: Darcy–Brinkman Flow Through a Corrugated Channel

Content Provider	Springer Nature Link
Author	Ng, Chiu On Wang, C. Y.
Copyright Year	2010
Abstract	A perturbation analysis is carried out to the second order to give effective equations for Darcy–Brinkman flow through a porous channel with slightly corrugated walls. The flow is either parallel or normal to the corrugations, and the corrugations of the two walls are either in phase or half-period out of phase. The present study is based on the assumptions that the corrugations are periodic sinusoidal waves of small amplitude, and the channel is filled with a sparse porous medium so that the flow can be described by the Darcy–Brinkman model, which approaches the Darcian or Stokes flow limits for small or large permeability of the medium. The Reynolds number is also assumed to be so low that the nonlinear inertia can be ignored. The effects of the corrugations on the flow are examined, quantitatively and qualitatively, as functions of the flow direction, the phase difference, and the wavelength of the corrugations, as well as the permeability of the channel. It is found that the corrugations will have greater effects when it is nearer the Stokes’ flow limit than the Darcian flow limit, and when the wavelength is shorter. For the same wavelength and phase difference, cross flow is more affected than longitudinal flow by the corrugations. Opposite effects can result from 180° out-of-phase corrugations, depending on the flow direction, the wavelength, as well as the permeability.
Starting Page	605
Ending Page	618
Page Count	14
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	85
Issue Number	2
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-04-16
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Stokes flow Darcy–Brinkman Corrugated channel Classical Continuum Physics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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