Mathematical and numerical modeling of non-Newtonian thermo-hydrodynamic flow in non-Darcy porous media

Bég, O. Anwar, Bég, Tasveer A., Takhar, Harmindar S. and Raptis, Andreas (2004) Mathematical and numerical modeling of non-Newtonian thermo-hydrodynamic flow in non-Darcy porous media. International journal of fluid mechanics research, 31 (1). ISSN 1064-2277

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Abstract

We analyse the steady convection boundary layer flow of a second order non-Newtonian fluid near a wedge structure embedded in a Darcy−Brinkman porous medium. The governing equations are formulated using a boundary layer theory, then transformed into pseudo-similarity equations and these equations are subsequently solved using the powerful Nakamura finite difference method. Solutions are produced for surface shear stress and local heat transfer at the wedge face. The effects of viscoelasticity coefficient, K, Reynolds number, Re, Prandtl number, Pr, and Darcy number, Da, are presented graphically and discussed.