Flow of Viscous Fluid at Small Reynolds Numbers past a Porous Body

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  • Yamamoto Kyoji
    Department of Aeronautical Engineering, Faculty of Engineering, Kyoto University

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  • Flow of viscous fluid at small reynolds numbers past a porous sphere

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The flow of viscous fluid past a porous and permeable body of arbitrary but smooth shape is considered on the basis of the Stokes equation and the generalized Darcy’s law which is assumed to hold throughout the prorous medium. In particular, the asymptotic behavior of the flow tor small permeability of the porous medium is investigated, and it is shown that the flow in the porous medium is governed essentially by ordinary Darcy’s law except in the boundary layer near the surface. The velocity distribution in the boundary layer is given in a universal form. Proper boundary conditions connecting the Stokes and Darcy equations are then obtained when the latter equation is applied to the whole of the porous medium on neglecting the boundary layer.

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