Abstract
The problem of the creeping flow field induced by a spinning sphere including couple stress effects is studied analytically. The solution turns out to be somewhat more complex, in an algebraic sense, than the problems of a uniformly translating sphere or a sphere in a shear flow. By the same token, the spinning sphere problem should provide more information regarding rheological parameters and boundary conditions employed in couple stress theories. The solution for the boundary condition of no slip of rotation is written out in full detail. An interesting feature of the solution is that it is necessary to employ a non solenoidal (in fact, irrotational) component in the “inherent angular velocity” or “spin velocity” field to properly satisfy the boundary conditions.
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