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POWER-LAW FLUIDS IN POROUS MEDIA

1987; Taylor & Francis; Volume: 53; Issue: 1-6 Linguagem: Inglês

10.1080/00986448708911879

1563-5201

Richard S. Parnas, Yoram Cohen,

Lattice Boltzmann Simulation Studies

An analysis is presented to describe the parallel flow of power-law fluids within a channel bounded by porous media. It is shown that there is an excess flow above the Darcy's law prediction for the porous medium region adjacent to the channel/ porous medium boundary. This also leads to a higher flow rate in the channel. The excess flow increases with a decreasing value of the power law index, and with increasing permeability. The excess flow is found to reach a maximum at an intermediate value of the dimensionless channel width (=½H/K½and it vanishes in the limit of h→∞and h→0. Experimental evidence is also presented to demonstrate the excess flow. The experimental data are found to be in reasonable agreement with the proposed flow model.