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Isolated Convection Modes for the Anomalous Thermoviscous Liquid in a Plane Cell

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Abstract

This work is devoted to the numerical research of free convection by a Newtonian anomalous thermoviscous fluid in a flat cell. The cell is heated from below, cooled from above; and the lateral boundaries are heat insulated. The viscosity anomaly of the fluid is modeled by the Gaussian function of temperature and is characterized by two parameters. A flow regime with isolated convective cells separated by a region of high viscosity, the so-called viscous barrier, was detected at a certain set of control parameters. For these flow regimes, current lines, heat fluxes, temperature fields, and contours of the components of the velocity vector of the fluid are given.

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Funding

This study was supported partially by the Russian Foundation for Basic Research, project no. 17-41-020576-r_a and partially by state task financing, no. 0246-2019-0052.

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Authors and Affiliations

  1. Institute of Mechanics UFIC, RAS, Ufa, Russia

    V. S. Kuleshov, K. V. Moiseev & S. F. Urmancheev

  2. Ufa State Petroleum Technological University, Ufa, Russia

    K. V. Moiseev

Authors
  1. V. S. Kuleshov
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  2. K. V. Moiseev
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  3. S. F. Urmancheev
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Corresponding authors

Correspondence to V. S. Kuleshov, K. V. Moiseev or S. F. Urmancheev.

Additional information

Russian Text © The Author(s), 2019, published in Prikladnaya Matematika i Mekhanika, 2019, Vol. 83, No. 3, pp. 484–494.

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Kuleshov, V.S., Moiseev, K.V. & Urmancheev, S.F. Isolated Convection Modes for the Anomalous Thermoviscous Liquid in a Plane Cell. Fluid Dyn 54, 983–990 (2019). https://doi.org/10.1134/S0015462819070097

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  • DOI: https://doi.org/10.1134/S0015462819070097

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