Oscillatory Flow of Couple Stress Fluid Past a Fluid Sphere with Slip Condition: Exact Solution

Resumo

This article is about the usage of interfacial slip on the boundary and the exact solution for an oscillatory flow of couple stress fluid (CSF) beyond a fluid sphere filled with a (CSF) couple stress fluid. The stream functions and drag are computed analytically. Special cases are deduced for drag force which were observed and ratified with data in literature. The numerical results are tabulated and represented in graphs. It was observed that at a fixed value of a couple stress parameter value, there is a direct relation between slip parameter and real drag values and inverse relation among the imaginary drag values. In addition, oscillatory Newtonian flow beyond a viscous fluid sphere is analyzed and the oscillatory couple stress fluid (CSF) flow over a viscous fluid sphere and vice versa were also analyzed.