Journal of Applied Mathematics & Bioinformatics

Approximate Solutions of the Brinkman-Forscheimer Model

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• Abstract

  This article discusses approximation methods for solving the strongly nonlinear Brinkman-Forscheimer equation describing the unidirectional flow of fluid through a horizontal channel filled with porous medium. Comparisons were made of approximations by semi-analytic methods and the finite difference method for this nonlinear problem. The results indicated that the approximations by the finite difference method compared well with solutions by semi-analytic methods in the literature.