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Thermocapillary and thermogravitational convection in a two-layer system with curved interface

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Abstract

In an earlier study [1], the present authors used the complete nonlinear hydrodynamic equations to investigate thermocapillary convection in a two-layer system. Oscillatory instability of the equilibrium was established for some ratios of the parameters. In the present paper, a study is made of the influence on the thermocapillary convective motions of two different factors — curvature of the interface and gravity. It is established that curvature of the interface can lead to significant changes in the flow structure and hysteresis transitions between convection regimes. In the case of the joint influence of the thermogravitational and thermocapillary instability mechanisms, many different flow regimes are found: steady motions with different directions of rotation of the vortices and periodic and nonperiodic oscillatory motions with different spatial structures.

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Literature cited

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Authors and Affiliations

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    A. A. Nepomnyashchii & I. B. Simanovskii

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  1. A. A. Nepomnyashchii
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  2. I. B. Simanovskii
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 175–179, May–June, 1984.

We thank E. M. Zhukovitskii for discussing the results.

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Nepomnyashchii, A.A., Simanovskii, I.B. Thermocapillary and thermogravitational convection in a two-layer system with curved interface. Fluid Dyn 19, 494–499 (1984). https://doi.org/10.1007/BF01093920

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  • DOI: https://doi.org/10.1007/BF01093920

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