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Unsteady flow of an oscillating porous disk and a fluid at infinity. (English) Zbl 0959.76089

Summary: We obtain an exact analytic solution of unsteady Navier-Stokes equations for the flow caused by non-coaxial rotations of a porous disk and of the fluid at infinity. The porous disk executes oscillations in its own plane with superimposed injection or suction. We also discuss an increasing or decreasing velocity amplitude of the oscillating porous disk. Further, it is shown that a combination of suction/injection and decreasing/increasing velocity amplitude is possible as well. In addition, we consider the flow due to porous oscillating disk and the fluid at infinity rotating about an axis parallel to the \(z\)-axis.

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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