Approximate Analytical Solutions for the Nonlinear Brinkman-Forchheimer-Extended Darcy Flow Model - Applied Mathematics

AM > Vol.2 No.12, December 2011

Applied Mathematics

Volume 2, Issue 12 (December 2011)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Approximate Analytical Solutions for the Nonlinear Brinkman-Forchheimer-Extended Darcy Flow Model ()

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DOI: 10.4236/am.2011.212202 5,908 Downloads 11,237 Views Citations

Author(s)

Basant K. Jha, Muhammad L. Kaurangini

Affiliation(s)

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

KEYWORDS

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

Share and Cite:

Jha, B. and Kaurangini, M. (2011) Approximate Analytical Solutions for the Nonlinear Brinkman-Forchheimer-Extended Darcy Flow Model. Applied Mathematics, 2, 1432-1436. doi: 10.4236/am.2011.212202.

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