Slow motion of a sphere away from a wall: Effect of surface roughness on the viscous force

An asymptotic analysis is given for the effect of roughness exhibited through the slip parameter β on the motion of the sphere, moving away from a plane surface with velocityV. The method replaces the no-slip condition at the rough surface by slip condition and employs the method of inner and outer regions on the sphere surface. For β > 0, we have the classical slip boundary condition and the results of the paper are then of interest in the microprocessor industry.