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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
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UNSTEADY POISEUILLE FLOW IN A POROUS ROTATING CHANNEL
ABSTRAKT
Viscous flow in a channel filled with a porous medium is a fundamental problem. The channel may also rotate as in a centrifuge, spacecraft, or under earth's self-rotation. The extended Darcy−Brinkman equations are solved for impulsive and oscillatory pressure gradients. The results show strong interactions among rotation, unsteadiness, and porous permeability. Phenomena such as secondary flow, inertial oscillations and resonances may occur. Increase of the porous parameter (inverse square root of permeability) depresses both the magnitude and (spatial and temporal) oscillations. For a given rotation, the optimum porous medium for maximized steady through flow is found.
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