Soft Matter and Complex Systems Seminar

The MHD viscous flow about a slip solid insulating sphere translating in a conducting Newtonian liquid parallel with an imposed uniform and steady magnetic fields is considered. The adopted slip condition on the sphere is the usual Navier condition with a prescribed slip length possibly varying in the direction of the sphere translation. A theoretical formulation valid for such an arbitrary slip distribution and providing both the flow about the sphere and the drag it experiences is proposed. An efficient numerical implementation is then performed for two illustrating examples: a uniform slip length and a slip length with constant slope. The resulting drag force sensitivity to the Hartmann number and the slip magnitude and distribution will be thereby reported and discussed for those examples.