Abstract

This paper reports on the time-dependent axisymmetric flow of a viscous, incompressible fluid along a moving circular cylinder having infinite extent. A mathematical account is given to unsteady motion, in which the governing non-dimensional equations are obtained in the presence of a velocity-slip boundary condition near the cylinder wall. In the case where the cylinder is started impulsively from rest in (initially) still air, the Bingham number is obtained by means of Laplace transform techniques with particular emphasis regarding the cylinder in motion with uniform velocity and acceleration. The effects of the momentum slip length parameter on the shear stress are determined and presented.

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