Abstract
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.
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References
D. T. J. Hurle, Temperature oscillations in melted metals and their connection with striated solute, Phil. Mag., 13, 305–310 (1967).
H. P. Utech and M. C. Flemings, Influence of magnetic field on thermoconvection under growth of metal crys-tals, J. Appl. Phys., 37, 2021–2032 (1967).
G. Muller, in: H. C. Freyhardt (ed.), Convection and Inhomogeneities in Crystal Growth from the Melt [Russian translation], Vol. 12, Growth, Properties, and Applications, Mir, Moscow (1991), pp. 76–139.
A. I. Feonychev, I. S. Kalachinskaya, and V. I. Pokhilko, Deformation of liquid column by action of axial vi-bration and some aspects of high rate thermocapillary convection, in: Proc. of Third Microgravity Fluid Physics Conference, Cleveland, USA, June 1996, NASA Conference Publication 3338 (1996), pp. 491–494.
A. I. Feonychev and I. S. Kalachinskaya, Influence of variable accelerations on crystal growth by the floating-zone method aboard spacecraft, Kosmich. Issled., 39, No. 4, 400–406 (2001).
D. Schwabe, Surface-tension-driven flow in crystal growth melts, Crystals, 11, Springer-Verlag, Berlin, Heidel-berg (1988).
S. Osrach and Ya. Kamotani, Recent developments in oscillatory thermocapillary flows, in: Proc. AIAA/IKI Mi-crogravity Science Symp., Moscow, USSR, 13–17 May, 1991, pp. 25–32.
A. I. Feonychev, I. S. Kalachinskaya, V. I. Pokhilko, A. V. Klyuchnikova, and T. G. Elizarova, Application of the resonance effect and oscillatory convection regimes to identification of the eigenfrequencies of convective volumes, in: Proc. 3rd Int. Conf. "Identification of the Dynamic Systems and Inverse Problems" [in Russian], Moscow– St. Petersburg (1998), pp. 219–235.
V. S. Avduevskii, A. V. Korol'kov, and V. V. Savichev, Study of thermal gravitational convection in the field of weak variable accelerations, Prikl. Mekh. Tekh. Fiz., No. 1, 54–59 (1987).
S. V. Ermakov and A. I. Feonychev, Thermal convection in the field of variable acceleration of a body force and microsegregation of an impurity in crystals, in: Hydromechanics and Heat Transfer in Zero Gravity [in Russian], Institute of Hydrodynamics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1988), pp. 20–34.
A. I. Feonychev and S. V. Ermakov, Parametric resonance in nonisothermal fluid subjected to harmonical mass transfer, Adv. Space Res., 11, No. 7, 177–180 (1991).
A. V. Boyarevich and L. A. Gorbunov, Influence of magnetic fields of different orientation on thermogravita-tional convection in a conducting liquid in a horizontal heat flux, Magnit. Gidrodinam., No. 2, 17–24 (1988).
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Feonychev, A.I. Application of the Eigenfrequency of a Convective Cell to Determination of the Frequency Characteristics of Oscillatory Thermal Gravitational and Thermocapillary Convection in Closed Volumes. Journal of Engineering Physics and Thermophysics 77, 990–998 (2004). https://doi.org/10.1023/B:JOEP.0000049541.00197.21
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DOI: https://doi.org/10.1023/B:JOEP.0000049541.00197.21