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has been cited by the following article:

• TITLE: Approximate Analytical Solutions for the Nonlinear Brinkman-Forchheimer-Extended Darcy Flow Model

  AUTHORS: Basant K. Jha, Muhammad L. Kaurangini

  KEYWORDS: Non-Linear, Darcy, Time Dependent Flow, Steady State

  JOURNAL NAME: Applied Mathematics, Vol.2 No.12, December 5, 2011

  ABSTRACT: New approximate analytical solutions for steady flow in parallel-plates channels filled with porous materials governed by non-linear Brinkman-Forchheimer extended Darcy model for three different physical situations are presented. These results are compared with those obtained from an implicit finite-difference solution of the corresponding time dependent flow problem. It is seen that the time dependent flow solutions yield the almost same steady state values as obtained by using the new approximate analytical solutions