A NEW APPROACH IN THE VIBRATIONAL CONVECTION THEORY

The generation of time-averaged flows in non-uniform fluid due to high frequency vibrations of the container or oscillations of solid bodies immersed in a liquid is considered. The general equations for the tim e-averaged and pulsating components of hydrodynamical fields are obtai ned for a situation when the non-uniformity of density is caused by no n-uniform healing. It has been shown that in the general case thermovi brational effect is linear with respect to the characteristic temperat ure difference, whereas in some particular situations, for instance wh en the rigid-wailed container, completely filled with the fluid, does not change its orientation over the vibrational period, the thermovibr ational effect is quadratic. As an example the flow between two solid spheres is analyzed for a situation where the inner sphere vibrates al ong a fixed direction and is kept at a temperature different from that of the outer sphere.