Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Journal of Porous Media
Impact-faktor: 1.752 5-jähriger Impact-Faktor: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

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

Volumes:
Volumen 23, 2020 Volumen 22, 2019 Volumen 21, 2018 Volumen 20, 2017 Volumen 19, 2016 Volumen 18, 2015 Volumen 17, 2014 Volumen 16, 2013 Volumen 15, 2012 Volumen 14, 2011 Volumen 13, 2010 Volumen 12, 2009 Volumen 11, 2008 Volumen 10, 2007 Volumen 9, 2006 Volumen 8, 2005 Volumen 7, 2004 Volumen 6, 2003 Volumen 5, 2002 Volumen 4, 2001 Volumen 3, 2000 Volumen 2, 1999 Volumen 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i8.40
pages 723-748

SLIP-BRINKMAN FLOW THROUGH CORRUGATED CHANNEL WITH STATIONARY RANDOM MODEL

M. S. Faltas
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
H. H. Sherief
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
M. A. Mansour
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

ABSTRAKT

This paper applies the Brinkman-extended Darcy model to investigate the flow in micro-channels between two parallel corrugated walls. The stationary random model is used to imitate the stochastic surface roughness of the walls. The channel is filled with a sparse porous medium. A boundary perturbation method is used to obtain the stochastic volume flow rates and the pressure gradients up to the second order of the normalized amplitude of the corrugations. The present study is based on using a linear slip of Basset-type boundary condition at the impermeable surfaces of the corrugated channel. The parallel and perpendicular flows to the corrugations are investigated. Also, in-phase and out-of-phase cases are considered. The effect of wall roughness, slip at the channel walls, and the permeability of the medium on the rate of flow and pressure gradient are discussed. The particular cases of Stokes and Darcy's flows and the no-slip case are also discussed.


Articles with similar content:

EFFECTS OF SLIP ON PULSATING FLOW OF AN INCOMPRESSIBLE MICROPOLAR FLUID THROUGH A POROUS MEDIUM BETWEEN TWO PARALLEL PLATES
Journal of Porous Media, Vol.16, 2013, issue 8
T. K. V. Iyengar, Punnamchandar Bitla
Hydromagnetic Two-Phase Viscous-Ideal Fluid Flow in a Parallel Plate Channel under a Pulsatile Pressure Gradient
International Journal of Fluid Mechanics Research, Vol.39, 2012, issue 4
G. Prabhakar Rao, R. Siva Prasad, S. Ravikumar
FLOW IN A CHANNEL FILLED BY HETEROGENEOUS POROUS MEDIUM WITH A LINEAR PERMEABILITY VARIATION
Special Topics & Reviews in Porous Media: An International Journal, Vol.3, 2012, issue 3
Sunil Datta, Vineet Kumar Verma
Nonlinear Effects in Multiple Regime Transport of Momentum in Longitudinal Capillary Porous Medium Morphology
Journal of Porous Media, Vol.2, 1999, issue 3
Ivan Catton, V. S. Travkin
STEADY SOLUTE DISPERSION IN COMPOSITE POROUS MEDIUM BETWEEN TWO PARALLEL PLATES
Journal of Porous Media, Vol.16, 2013, issue 12
J. Prathap Kumar, Ali J. Chamkha, Jawali C. Umavathi