LAUSR

Equations for thermal vibrational convection in a nonuniformly heated liquid with thermal density inversion subjected to high-frequency small-amplitude vibrations are obtained by averaging method. The problem of thermal vibrational convection in a horizontal cylinder filled with a liquid with quadratic temperature dependence of density is studied analytically on the basis of these equations for arbitrary orientations of temperature gradient, gravity and vibration axis. The heating is carried out in such a way that the point of temperature inversion of density is located at the cylinder axis. It is shown that by changing the direction of vibrations and their intensity, it is possible to control the structure and intensity of average flow.