Studies of flows induced by diffusion on topography are stimulated by the search for mechanisms of the formation of intense slope winds in the stable stratified atmosphere [1] and flows in the ocean [2, 3]. The analytical solution describing a single-scale steady flow induced by diffusion on an infinite inclined plane has singularities for small slopes [4]. In the exact solution of the problem of flow formation that is induced by diffusion on the infinite inclined plane, the fields of velocity and density are characterized by different scales [5]. The asymptotic solutions of the problem of the formation of two-dimensional diffusion-induced flows on the plane [6], in the channel [7], and in the wedge cavity [8] in the short-time approximation agree with each other and with the solution presented in [5]. However, in the long-time approximation, they do not transform to the steady solution [4] or asymptotic solution [6].
展开▼
