Slow viscous flow which results from the translation of a concentric annular disk in arbitrary direction in otherwise quiescent fluid is studied under Stokes' approximation. Slow flow due to the rotation of the annular disk about its own axis is also investigated.
When the disk translates along the axis of symmetry, or rotates about the axis, a set of triple integral equations is obtained by utilization of integral transform method. And when the disk translates parallel to its own plane, a pair of simultaneous triple integral equations are obtained. The triple integral equations are reduced to Fredholm integral equations of the second kind or combined Volterra-Fredholm integral equations, which are solved by means of numerical quadratures.
Pressure and shear stress distributions on the disk are calculated, and the drag or torque exerted on the disk is also determined. In addition, the volume flux through the hole is calculated when the disk moves along the axis of symmetry.
