A general solution of unsteady Stokes equations is suggested and its completeness is proved. A simple method of solution for the problem of an arbitrary unsteady Stokes ow in the presence of a sphere is discussed. Some physical properties like drag and torque experienced by the sphere are given and compared with some earlier known results.

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In this paper, we study five different types of problems in potential and viscous flows past intersecting circles or spheres in two and three dimensions, respectively, with different angles of intersection. We observe a striking resemblance in the form of the solutions in all these cases by introducing certain operators L and M which generate a group G. By introducing a procedure called ‘closure’ which determines the order of the group G, we give a general method to discuss the problem of flow past two intersecting circles or spheres in potential and Stokes flows with different angles of intersection.

In this note, we introduce a new representation of the complete general solution of the Brinkman [1] equations. We also show that the representation for the velocity and pressure given by Padmavathi et al. [2] is a complete general solution of the Brinkman [1] equations.

We give a general solution of Stokes equations for an incompressible, viscous flow past a sphere with mixed slip-stick boundary conditions. The Faxen's law for drag and torque on the sphere is also given and illustrated with an example.