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Influence of uniform magnetic field on laminar regimes of natural convection in an enclosure

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Thermophysics and Aeromechanics Aims and scope

Abstract

A numerical analysis of spatial laminar regimes of natural convection in an enclosure is conducted in the presence of a uniform magnetic field. The mathematical model formulated in dimensionless natural variables “velocity-pressure-temperature” has been implemented numerically by the method of control volume. The influence of the Rayleigh number (103 ≤ Ra ≤ 105) and the Hartmann number (0 ≤ Ha ≤ 100), the orientation of the magnetic induction vector (0 ≤ φ ≤ π/2) as well as of the geometric parameter (0.2 ≤ A ≤ 5), which reflects the enclosure relative length, on the velocity and temperature distributions as well as the average Nusselt number on a typical isothermal boundary has been studied in detail. A possibility of describing the integral heat exchange in the spatial object under consideration on the basis of the two-dimensional model has been established.

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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    N. S. Bondareva & M. A. Sheremet

  2. Tomsk Polytechnic University, Tomsk, Russia

    M. A. Sheremet

Authors
  1. N. S. Bondareva
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  2. M. A. Sheremet
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Correspondence to M. A. Sheremet.

Additional information

The work was financially supported by the Russian Foundation for Basic Research (Grant No. 14-08-31137 mol_a) and the Council for grants of the RF President for young Russian scientists (Grant No. MD-6942.2015.8).

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Bondareva, N.S., Sheremet, M.A. Influence of uniform magnetic field on laminar regimes of natural convection in an enclosure. Thermophys. Aeromech. 22, 203–216 (2015). https://doi.org/10.1134/S0869864315020079

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  • DOI: https://doi.org/10.1134/S0869864315020079

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