الفهرس | Only 14 pages are availabe for public view |
Abstract In Chapter one (Paper 1), An analytical and numerical study for the creeping flow caused by a solid spherical particle with a slip-flow surface is considered in the presence of a fluid–fluid plane interface. The particle rotating about or translating along an axis perpendicular to the interface. The motion is investigated in the limit of low capillary number where in this situation the interface is of negligible deformation. Using a bipolar coordinate system, the stream functions are constructed for both fluid phases as Reynolds number tends to zero. The novelty of this work is allowing the slip on the surface of the particle. In addition to compression with collocation techniques, we also studied the predicted changes in the drag force and torque due to the presence of the plane interface and the slippage at the surface of the particle. The work is motivated by its possible application as an analytical tool in the study of locomotion of microswimmers near an interface such as synthetic swimmers and microorganisms. |