On the flow of fluids through inhomogeneous porous media due to high pressure gradients Academic Article

abstract

• 2015 Elsevier Ltd. All rights reserved. Most porous solids are inhomogeneous and anisotropic, and the flows of fluids taking place through such porous solids may show features very different from that of flow through a porous medium with constant porosity and permeability. In this short paper we allow for the possibility that the medium is inhomogeneous and that the viscosity and drag are dependent on the pressure (there is considerable experimental evidence to support the fact that the viscosity of a fluid depends on the pressure). We then investigate the flow through a rectangular slab for two different permeability distributions, considering both the generalized Darcy and Brinkman models. We observe that the solutions using the Darcy and Brinkman models could be drastically different or practically identical, depending on the inhomogeneity, that is, the permeability and hence the Darcy number.

authors

• Rajagopal, Kumbakonam

published proceedings

• INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

author list (cited authors)

• Srinivasan, S., & Rajagopal, K. R.

citation count

• 9

complete list of authors

• Srinivasan, Shriram||Rajagopal, KR

publication date

• January 2016

publisher

• Elsevier  Publisher

published in

• International Journal of Non-Linear Mechanics  Journal

keywords

• Barus Formula
• Brinkman Model
• Darcy Equation
• Inhomogeneity
• Porous Rigid Solid
• Pressure-dependent Viscosity

Digital Object Identifier (DOI)

• 10.1016/j.ijnonlinmec.2015.09.003

start page

• 112

end page

• 120

volume

• 78

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.ijnonlinmec.2015.09.003