Flow past a slippery cylinder: part 2 - elliptic cylinder

Part 2 of this paper is devoted to two-dimensional unsteady flow of a viscous incompressible fluid past an inclined elliptic cylinder subject to impermeability and Navier slip conditions on the surface. As in Part 1, the flow is calculated using two methods: an approximate analytical solution in the form of an asymptotic expansion and a numerical solution based on a spectral-finite difference scheme. The results reveal excellent agreement between the analytical and numerical solutions for small times and moderately large Reynolds numbers. Extensive results focussing on asymmetrical flows are presented for Reynolds numbers 500 and 1000 for various aspect ratios, inclinations, and slip lengths. Comparisons with the no-slip case are also made to elicit the effects of the Navier slip condition. The main findings include a reduction in drag as well as a suppression in vortex shedding.