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Development and instability of steady convective flows in a square cavity heated from below and a field of vertically directed vibrational forces

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Abstract

The present paper is devoted to numerical investigation of the spatial structure and stability of secondary vibrational convective flows resulting from instability of the equilibrium of a fluid heated from below. Vibrations parallel to the vector of the gravitational force (vertical vibrations) are considered. As in earlier work [7–9], a region of finite size is used — a square cavity heated from below. It is shown that enhancement of the vibrational disturbance of the natural convective flow may either stabilize or destabilize flows with different spatial structures; it may also stabilize certain solutions of the system of convection equations that are unstable in the absence of vibrational forces. In addition, increase of the vibrational Rayleigh number can lead to a change of the mechanisms responsible for equilibrium instability and oscillatory instability of the secondary steady flows.

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  1. Riga

    A. Yu. Gel'fgat

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  1. A. Yu. Gel'fgat
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 9–18, March–April, 1991.

I thank G. Z. Gershuni for assistance and extremely fruitful discussions of the results of the paper.

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Gel'fgat, A.Y. Development and instability of steady convective flows in a square cavity heated from below and a field of vertically directed vibrational forces. Fluid Dyn 26, 165–172 (1991). https://doi.org/10.1007/BF01050134

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  • DOI: https://doi.org/10.1007/BF01050134

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