Unsteady Viscous Flow Induced by Eccentric-Concentric Rotation of a Disk and the Fluid at Infinity


Abstract: The unsteady viscous flow produced by a sudden coincidence of two axes while a disk and the fluid at infinity are initially rotating with the same angular velocity about non-coincident axes is examined. The velocity field and the shear stress components on the disk are found exactly with the use of the Laplace transform technique. In order to confirm the results obtained exactly, another solution that is valid at small times is also obtained. At the region near the disk, it is observed that the projections of the rotation centers of the fluid layers on the disk plane are in both the first and the second quadrant for the given flow geometry.

Keywords: Eccentric and Concentric Rotation, Unsteady Flow, Newtonian Fluid

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