The problem on the flow of an ideal fluid along a flat surface in the presence of a fixed granular layer on it in the form of a semi-infinite step of finite thickness consisting of an infinite number of identical spherical granules statistically uniformly distributed in the layer is considered. The problem is solved based on using the previously developed method of the self-consistent field, which allows studying the effects of hydrodynamic interaction of a large number of spherical particles in flows of an ideal fluid, including in the presence of external boundaries, and obtaining the averaged dynamic characteristics of such flows. In the first approximation in the volume fraction of granules in a layer, an analytical function is obtained that describes the averaged velocity field of the fluid both inside and outside this layer.
O. B Gus’kov (Wed,) studied this question.