Some Problems in Inhomogeneous Viscous Flow
This thesis serves a dual purpose. First, a method is presented which simplifies the integration of the governing steady stage equations of an incomprehensible viscous fluid with vanishing body and inertia forces. The method takes advantage of potential theory to reduce any fluid problem to that of differential operators acting upon harmonic functions. This is in contrast to the conventional stream-function approach which employs a fourth-order partial differential equation. By this approach, the formulation for singularities in the interior of one of two immiscible fluids becomes straight forward.