Vol. 3, No. 6, 2008
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Non-Newtonian fluid flow in a porous medium

Anita Uscilowska
Vol. 3 (2008), No. 6, 1151–1159
DOI: 10.2140/jomms.2008.3.
Abstract

This paper presents the properties of non-Newtonian fluid flow in a porous medium. A numerical study on Brinkman flow is considered. It is assumed that the flow is isothermal. The governing equations are included. The steady-state problem is considered. The problem is nonlinear, described by coupled equations and boundary conditions. To solve the problem, a method based on the method of fundamental solutions for solving nonlinear boundary problems is proposed. The numerical experiment is performed and results are discussed.

Keywords
non-Newtonian fluid, porous media, fundamental solutions method, Carreau model, Brinkman equation, method of fundamental solutions
Milestones
Received: 7 February 2008
Accepted: 25 March 2008
Published: 1 August 2008
Authors
Anita Uscilowska
Institute of Applied Mechanics
Poznan University of Technology
ul. Piotrowo 3
60-965 Poznan
Poland