APPLICATION OF THE EIGENFREQUENCY
OF A CONVECTIVE CELL TO DETERMINATION
OF THE FREQUENCY CHARACTERISTICS
OF OSCILLATORY THERMAL GRAVITATIONAL
AND THERMOCAPILLARY CONVECTION
IN CLOSED VOLUMES

A. I. Feonychev

UDC 532.5:532.6

The notion of the eigenfrequency of a convective cell 
has been introduced and three methods for determination of this parameter 
in numerical experiments have been proposed. The effect of resonance 
of the stream function in the field of a rotating gravity vector (this 
effect has been found earlier) is used for thermal gravitational convection 
in a square cavity. Thermocapillary convection is investigated in 
a rectangular cavity and in a cylinder. In these cases use is made 
of the resonance effect and the variation of the parameters with eigenfrequency 
under the action of a heat flux harmonically oscillating and acting 
on the free surface of the liquid. The correspondence between the 
obtained eigenfrequencies of the convective cell and the frequencies 
of oscillatory convection, obtained in numerical calculations and 
experiment, has been established.

Moscow Aviation Institute (MAI), 5 Leningrad Highway, 
Moscow, 125080, Russia; email: ab2546@mail.sitek.ru. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 77, No. 5, pp. 105-112, September-October, 
2004. Original article submitted September 3, 2003.