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Oscillatory flow due to eccentrically rotating porous disk and a fluid at infinity. (English) Zbl 1163.76441

Summary: An analytical solution of the unsteady Navier-Stokes equations is obtained for the flow due to non-coaxial rotations of an oscillating porous disk and a fluid at infinity, rotating about an axis parallel to the axes of rotation of the disk through a fixed point. The velocity distributions and the shear stresses at the disk are obtained for three different cases when the frequency parameter is greater than, equal to or less than the rotation parameter. The flow has a boundary layer structure even in the case of blowing at the disk.

MSC:

76U05 General theory of rotating fluids
76S05 Flows in porous media; filtration; seepage
76D05 Navier-Stokes equations for incompressible viscous fluids
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References:

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