Microspheres Transport in a Viscous Fluid Induced by an External Oscillator Field

The movement of nano/micro-particles in a viscous media has recently received attention due to its diverse applications in applied science and engineering. In the current chapter, the interactions of a two-solid microspheres system in Stokes ow at low Reynolds number power by an external oscillator field is studied analytically. A conducting microsphere moves under the action of an external field, and the other nonconducting sphere moves due to the induced ow oscillation generated by the motion of the active sphere. The governing equation in the vector form for the two-sphere system is formulated and solved asymptotically using the two-timing method. For illustrations, by applying a simple oscillatory external FIeld, the results show that no collisions occur between two spheres as the system moves in a circular motion with a fixed separation distance, and that its trajectory was found to be inversely proportional to the frequency of the external field.