A Mixture theory approach for a power-law fluid flow through a porous channel

Jesús A. Puente Angulo, Maria Laura Martins-Costa, Heraldo da Costa Mattos


The steady-state saturated flow of an incompressible power-law  fluid  through  a porous channel limited by two impermeable flat plates is modeled using a mixture theory, which considers fluid and porous matrix as superimposed continuous constituents of a binary mixture. After some simplifying assumptions, the mechanical model gives rise to a coupled system of ordinary differential equations that is simulated by employing a Runge-Kutta method coupled with a shooting strategy. Despite the strong  nonlinearity  of  the  problem,  this  simple methodology provides stable and accurate results, for both shear-thinning and shear-thickening behaviors.

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DOI: https://doi.org/10.5540/03.2015.003.01.0244


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