Flows driven by a combination of source/sink Part 1: Exterior creeping flows

In this paper, the two-dimensional creeping flows outside a circular cylinder induced by source/sink with various boundary conditions is studied. Analytical solutions for the flow field are obtained by straight forward application of the Fourier method. The streamline patterns are sketched for a number of special cases where the boundary conditions is varying from no slip to perfect slip boundary conditions. Some interesting flow patterns are observed in the parameter space which may have potential significance in studies of various flows including flows in journal bearing, mixing flows, etc. We also investigate into the way the streamline topologies change as the parameters are varied.