Publicou 12 edições por ano
ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508
Indexed in
POWER-LAW FLUID FLOWS IN CHANNELS WITH A PERMEABLE WALL
RESUMO
The flow of an incompressible non-Newtonian fluid limited by two impermeable flat plates is studied by considering two distinct flow regions: one with the fluid only (without a porous matrix) and the second one with this fluid flowing through a porous medium. A mixture theory model is employed to describe these two adjacent flow regions in which the fluid has a power-law behavior. Adequate compatibility conditions at the interface between the two regions are considered. Numerical simulations have been performed employing a Runge-Kutta methodology coupled with a shooting strategy. Such problem is interesting in order to verify the coupled influence of material parameters and compatibility conditions. Employing this numerical strategy, the solution of the problem is essentially reduced to finding the root of a real function. The flow behavior for distinct values of the power-law index, characterizing what is usually referred as shear-thinning and shear-thickening fluids, was investigated. Comparison with some limit cases has validated the numerical procedure.
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