ON VIBRATION-CONVECTIVE FLOWS IN A HELE-SHAW CELL

I. A. Babushkin and V. A. Demin

UDC 532.516, 536.2:532/533

The influence of high-frequency horizontal vibrations on 
convective flow conditions in a Hele-Shaw cell located in a homogeneous 
gravitational field and heated from below has been studied theoretically 
and experimentally. The linear problem of stability of mechanical 
quasi-equilibrium in the case of model boundary conditions has been 
solved analytically. The supercritical conditions of vibrational convection 
have been investigated numerically by the finite-difference method. 
It has been shown that at small values of the thermal and vibration 
Rayleigh numbers in a fluid a state close to quasi-equilibrium is 
realized. The critical values of the thermal and vibration Rayleigh 
numbers at which a change of different stationary and nonstationary 
convective regimes takes place have been determined. A stability map 
of vibration-convective flows has been generated.

Perm State University, 15 Bukirev Str., Perm, 614990, 
Russia; email: demin@psu.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 81, No. 4, pp. 712-720, July-August, 2008. Original 
article submitted February 21,