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

Authors