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Turbulent Rayleigh–Bénard convection in a strong vertical magnetic field

Published online by Cambridge University Press:  20 May 2020

R. Akhmedagaev Open the ORCID record for R. Akhmedagaev [Opens in a new window] ,
O. Zikanov Open the ORCID record for O. Zikanov [Opens in a new window] ,
D. Krasnov  and
J. Schumacher Open the ORCID record for J. Schumacher [Opens in a new window]
R. Akhmedagaev
Affiliation:
University of Michigan–Dearborn, 4901 Evergreen Road, Dearborn, MI 48128-1491, USA
O. Zikanov*
Affiliation:
University of Michigan–Dearborn, 4901 Evergreen Road, Dearborn, MI 48128-1491, USA
D. Krasnov
Affiliation:
Technische Universität Ilmenau, Postfach 100565, 98694Ilmenau, Germany
J. Schumacher
Affiliation:
Technische Universität Ilmenau, Postfach 100565, 98694Ilmenau, Germany
*
† Email address for correspondence: zikanov@umich.edu
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Abstract

Direct numerical simulations are carried out to study the flow structure and transport properties in turbulent Rayleigh–Bénard convection in a vertical cylindrical cell of aspect ratio one with an imposed axial magnetic field. Flows at the Prandtl number $0.025$ and Rayleigh and Hartmann numbers up to $10^{9}$ and $1400$, respectively, are considered. The results are consistent with those of earlier experimental and numerical data. As anticipated, the heat transfer rate and kinetic energy are suppressed by a strong magnetic field. At the same time, their growth with Rayleigh number is found to be faster in flows at high Hartmann numbers. This behaviour is attributed to the newly discovered flow regime characterized by prominent quasi-two-dimensional structures reminiscent of vortex sheets observed earlier in simulations of magnetohydrodynamic turbulence. Rotating wall modes similar to those in Rayleigh–Bénard convection with rotation are found in flows near the Chandrasekhar linear stability limit. A detailed analysis of the spatial structure of the flows and its effect on global transport properties is reported.

JFM classification

MHD and Electrohydrodynamics: Magneto convection MHD and Electrohydrodynamics: High-Hartmann-number flows
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 895 , 25 July 2020 , R4
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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