Effect of slippage on a translational motion of two interacting non-concentric spheres squeezed by couple stress fluid

This investigation shows the couple stress fluid filled the space between the two non-concentric spheres under the effect of slippage. Therefore, this work is innovative due to the application of the velocity slip conditions to the surfaces of the spheres. In addition, the two spheres are translating axially at various linear speeds. The solution is obtained semi-analytically at low Reynolds numbers utilizing the superposition with the numerical collocation approach. This paper discusses the hydrodynamic drag force exerted by the fluid on the internal particle. Consequently, it is found that all the results agreed with the corresponding numerical analysis in the traditional viscous liquids and the traveling of two eccentric rigid spheres with no slippage.