Analytical Investigation of Slip Effects on Boundary Drag in Flow Around of a Nano Spherical Particle at Low Reynolds Numbers

In this paper, Oseen differential equation and continuity equations are solved for viscous flow around a stationary sphere using Lamb relations for velocity and pressure components. It is assumed that the tangential stress is proportional to the slip velocity on the surface. Slip considerably affects the tangential and radial velocity profiles such that increasing slip at a given Reynolds number delays flow separation and inflect point creation in velocity profiles. Slip effects on total drag coefficient at lower Reynolds number are relatively limited. Increasing slip on the surface decreases the shear drag coefficient, while the radial drag coefficient increases. At full-slip conditions, shear drag coefficient is basically zero and radial drag coefficient reaches its maximum value. Therefore, it is concluded that flow around the spherical nano particle at full-slip condition is not equal to potential flow around the spherical particle.