Oscillatory Flow of Couple Stress Fluid Flow over a Contaminated Fluid Sphere with Slip Condition

Abstract

This research paper aims at finding the analytic solution for an oscillatory flow of couple stress fluid flow over a contaminated fluid sphere, filled with a couple stress fluid which is considered with interfacial slip on the boundary. The stream functions and drags related to the findings were analytically obtained. The special cases as a result of this are deduced for drag force which satisfies with the available data mentioned in the literature. The numerical values that were obtained are represented in both tabular and graphical forms for ease of representation. It has also been observed that in the case of viscous fluid, there is an inverse relation between real drag, slip parameter and viscosity ratio. It was also found that, there is a direct relation between imaginary drag, slip parameter and viscosity ratio respectively. For instance, in the case of the couple stress fluid, at lower values of the couple stress parameter there is a reduction in real drag, and an increase in imaginary drag respectively. These findings can result in future research considering body forces and other non-Newtonian fluids