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Weakly Nonlinear Convective Structures for Ternary Fluid in a Horizontal Layer

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Abstract

In this article weakly nonlinear stationary convective regimes in a horizontal layer filled with ternary mixture are studied. Effect of thermal diffusion, linear dependence of viscosity on temperature and concentrations of components are described. The dependence of viscosity on temperature and concentrations are supposed weak in some sense. The boundaries of layer are poorly conducting, impermeable slabs of finite depths. Weakly nonlinear regimes are considered in the form of rolls, squares, hexagons, octagons, and dodecagons. The instability of these regimes are investigated. For this purpose multi-scale method is used. Only hexagons and squares can be stable. Hexagons are always stable for sufficiently small supecriticalities. Squares are stable for values of Rayleigh number exceeding a critical value for sufficiently small supercriticalities. Octagons appear in the point of exchange instability of squares into stability. For sufficiently small Prandtl number, phase chaos can be observed.

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Acknowledgements

The authors are grateful to the Ministry of Higher Education and Science for financial support (Grant number 121031700169-1).

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This work was supported by the Ministry of Higher Education and Science (Grant number 121031700169-1).

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  1. Department, Institute of Continuous Media Mechanics UrB RAS, Koroleva, Perm, 614013, Russia

    E. S. Sadilov

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

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Sadilov, E.S. Weakly Nonlinear Convective Structures for Ternary Fluid in a Horizontal Layer. Microgravity Sci. Technol. 34, 101 (2022). https://doi.org/10.1007/s12217-022-10019-8

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