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Traveling waves of a colloidal suspension in a closed cell

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Abstract

Two-dimensional oscillatory flows in the convective cell filled with a colloidal suspension are investigated. We consider transient and permanent evolution scenarios of the traveling wave that were found in experimental investigation (Donzelli et al. in Phys Rev Lett 102:104503, 2009). The nanoparticle transport mechanisms (thermodiffusion and gravity settling) are analyzed and elucidated with the help of finite-difference numerical simulations for Hyflon MFA colloidal suspension. The spatiotemporal characteristics of the stable (permanent) traveling waves are determined. The dependence of the Rayleigh number on the Lewis number at the boundary of existence of the stable traveling wave is obtained.

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Acknowledgements

This work was supported by the Russian Foundation for Basic Researches (Project No. 20-01-00491).

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Authors and Affiliations

  1. Department of Radio Electronics and Information Security, Perm State University, 15 Bukirev Street, Perm, Russia, 614990

    Ivan Cherepanov

  2. Department of Physics of Phase Transitions, Perm State University, 15 Bukirev Street, Perm, Russia, 614990

    Boris Smorodin

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  1. Ivan Cherepanov
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  2. Boris Smorodin
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Contributions

B.L. Smorodin made contribution to the conception and design of the study, developing methodology, analysis and interpretation of numerical results, drafting the paper and final approval of its version to be published; he also acts as the corresponding author. I.N. Cherepanov contributed to the statement of the problem, the computer modeling, performance of simulations, analysis and interpretation of numerical results, as well as final approval of the article version to be published.

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Correspondence to Boris Smorodin.

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Cherepanov, I., Smorodin, B. Traveling waves of a colloidal suspension in a closed cell. Eur. Phys. J. E 45, 39 (2022). https://doi.org/10.1140/epje/s10189-022-00192-4

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  • DOI: https://doi.org/10.1140/epje/s10189-022-00192-4

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