摘要 : The paper presents an exact solution of a problem of a Couette-type steady-state diffusion-stratified flow of a viscous incompressible liquid binary mixture, induced by a parabolic wind specified at one of the boundaries of the fl... 展开 The paper presents an exact solution of a problem of a Couette-type steady-state diffusion-stratified flow of a viscous incompressible liquid binary mixture, induced by a parabolic wind specified at one of the boundaries of the flow region. The flow is simulated by the equations of concentration convection, consisting of the Navier-Stokes equations (in the Boussinesq approximation), the incompressibility equation, and the equation for the concentration change in the light phase of the binary mixture. The solution of this nonlinear overdetermined system of equations is sought in the Lin-Sidorov-Aristov class. The solvability of the reduced system of equations with respect to the velocity components, concentration, and pressure fields is shown. The flow region was a flat horizontal infinite layer of constant thickness. A distinctive feature of the exact solution constructed is taking into account the impermeability of a solid hydrophilic surface limiting the flow region from below. Analysis of the formulas obtained for the velocity field showed that sometimes the flow can be reduced to a unidirectional one. In the general case, each of the nonzero components of the velocity vector can have at most one zero point inside the layer, which will coincide other only if the flow is unidirectional. It was found that the corresponding shear stress field is stratified into two zones, within which the stress has a constant sign, which changes when passing from zone to zone. The study of the concentration field revealed the fundamental possibility of stratification of the background concentration field into two zones from the reference value. In this case, the background pressure field, in contrast to the reference pressure, will consist of three parts. Thus, the solution obtained can describe return flows, localized (for certain combinations of edge parameters and physical characteristics of the fluid) near the boundaries of the fluid layer considered. 收起