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Unsteady flow between two eccentric rotating disks executing non-torsional oscillations. (English) Zbl 1006.76103
Summary: An exact solution of time-dependent Navier-Stokes equations is obtained for the flow between two eccentric rotating disks executing non-torsional oscillations. This analytical solution describes the flow at large and small times after the start. The solutions depend on the ratio of oscillation frequency to the disc angular velocity, and on the ratio of the oscillation amplitude to the angular velocity and the distance between the axes of rotation. The solutions are discussed for three cases when the angular velocity is greater than, smaller than or equal to the frequency of oscillation. Finally, we determine the times required to attain steady flow regime for cosine and sine oscillations.
MSC:
76U05Rotating fluids
76D05Navier-Stokes equations (fluid dynamics)