An unsteady flow due to eccentrically rotating porous disk and a fluid at infinity. (English) Zbl 0627.76113

An exact solution of the unsteady Navier-Stokes equations is obtained for the flow due to non-coaxial rotatings of a porous disk, executing non- torsional oscillations in its own plane, and a fluid at infinity. It is shown that the infinite number of solutions existing for a flow confined between two disks reduce to a single unique solution in the case of a single disk. The adjustment of the unsteady flow near the rotating disk to the flow at infinity rotating about a different axis is explained.


76S05 Flows in porous media; filtration; seepage
76U05 General theory of rotating fluids
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