Influence of Wall Deformation on a Slip Length
This paper presents the effect of a wall deformation on the boundaries conditions of a shear flow of the viscous fluid over a deformable wall which has a periodic deformation and small amplitude. The Reynolds number for the flow over a wall is low and the creeping flow equations apply. The no-slip boundary condition on the deformable wall applies. By using an asymptotic expansion, the analytic expression is obtained for the slip length.
KeywordsCreeping flow Shear flow Deformable wall Slip length Amplitude
- 5.Lamb, H.: Hydro Dynamics. 6th ed. 738. Dover, New York (1932)Google Scholar