Analysis of Thermovibrational Convection Modes in Square Cavity Under Microgravity Conditions

The modes of thermovibrational convection in square cavity with rigid boundaries under microgravity conditions are investigated. The cavity undergoes linearly polarized high-frequency vibrations in the direction parallel to the gravitational field. External temperature gradient is perpendicular to the vibration direction. The parameter V proportional to the ratio of the vibration acceleration to the gravity acceleration and independent of the temperature difference has been chosen as a dimensionless parameter characterizing the vibration intensity. The map of convection modes in the parameter plane Grashof number - vibration parameter and the boundary of stationary average convection stability have been obtained. It is found that depending on the values of the vibration parameter and Grashof number, one-, three- or four-vortex stationary modes of convection can be realized. When the Gr number increases, the stationary average motion becomes unstable and oscillatory convection modes arise.