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Analysis of Thermovibrational Convection Modes in Square Cavity Under Microgravity Conditions

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Abstract

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.

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Authors and Affiliations

  1. Perm National Research Polytechnic University, Komsomolsky prospect, 29, 614990 Perm, Russia

    A. V. Perminov & S. A. Nikulina

  2. Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, Acad. Koroleva Str., 1, 614013 Perm, Russia

    T. P. Lyubimova

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  1. A. V. Perminov
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  2. S. A. Nikulina
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  3. T. P. Lyubimova
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Correspondence to T. P. Lyubimova.

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The authors declare that they have no conflict of interest. The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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This article belongs to the Topical Collection: The effect of gravity on non-equilibrium processes in fluids

Guest Editors: Tatyana Lyubimova, Valentina Shevtsova

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Perminov, A.V., Nikulina, S.A. & Lyubimova, T.P. Analysis of Thermovibrational Convection Modes in Square Cavity Under Microgravity Conditions. Microgravity Sci. Technol. 34, 34 (2022). https://doi.org/10.1007/s12217-022-09956-1

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