A cartesian-tensor solution of the viscous creeping-motion equations (Q1084989)

A solution to the viscous creeping-motion equations is developed, using cartesian tensors. The solution is motivated by the form of the boundary conditions of the problem and is, therefore, easily applicable to situations where the boundary conditions are expressible in cartesian- tensor form. Several illustrations of the method are given to show how the solutions for the pressure and velocity components can be constructed, directly and easily, from the general solution.