Double–deck structure in the fluid flow induced by a uniformly rotating disk with small symmetric irregularities on its surface

Abstract

The stationary problem of a uniformly rotating disk with slightly perturbed surface immersed in a viscous fluid is considered. The asymptotic solutions with double-deck structure of the boundary layer are constructed for the symmetric periodic and localized types of irregularities on the disk surface for large Reynolds numbers. The numerical simulation of the flow near the surface shows that the radial component of the velocity prevails and the qualitative behavior of the flow depends on the amplitude of irregularities. Namely, the separation of the boundary layer from the streamlined surface occurs when a certain critical value of the amplitude of irregularities is exceeded and a laminar flow with a stationary vortex is observed in this case.