Slow Motion of a Sphere Away from a Wall: Effect of Surface Roughness on the Viscous Force

[摘要] 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 velocity 𝑉. 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.

[学科分类] 数学（综合）

[关键词] Viscous force;slip flow;meridional plane.