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Physics of Fluids / Volume 24 / Issue 2 / ARTICLES / Instability and Transition

Phys. Fluids 24, 024103 (2012); http://dx.doi.org/10.1063/1.3682374 (15 pages)

Transition between turbulent magnetically driven flow states in a Rayleigh-Bénard cell

I. Grants1,2 and G. Gerbeth2

1Institute of Physics, University of Latvia, Miera iela 32, LV-2169 Salaspils, Latvia
2Helmholtz-Zentrum Dresden-Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany

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(Received 4 May 2011; accepted 9 January 2012; published online 14 February 2012)

Transition between turbulent flow regimes is studied experimentally in a cylinder of liquid mercury heated from below under the influence of a rotating magnetic field. The latter creates a rotating flow which almost completely suppresses the temperature fluctuation near horizontal boundaries at a much lower angular velocity than a simple mechanical rotation. Our experiment confirms that this effect persists in the deep turbulent range to Grashof numbers as high as about 109. An intermediate range is observed for Gr > 2 × 108 with the temperature fluctuation suppressed in the core but near the sidewall. This is explained by turbulent friction replacing the Coriolis force as the leading retarding force. The linear instability of a simplified model is studied numerically. The model considers a base flow consisting of a uniform rotation and a formally independent uniform meridional flow in a cylinder with an adverse vertical temperature gradient. The model shows that the bulk meridional flow being itself much slower than the rotation is able to delay the Rayleigh-Bénard instability.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. EXPERIMENT DESCRIPTION
    1. Cell
    2. Temperature measurements
    3. Rotating field inductor
  3. LINEAR STABILITY OF A MODEL FLOW
  4. RESULTS
    1. Experiment
    2. Numerics
  5. DISCUSSION
  6. SUMMARY

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KEYWORDS, PACS, and IPC

Keywords

boundary layer turbulence, confined flow, fluctuations, friction, heat transfer, laminar to turbulent transitions, liquid metals, magnetohydrodynamics, mercury (metal), numerical analysis, Rayleigh-Benard instability, rotational flow

PACS

  • 47.27.Cn

    Transition to turbulence

  • 47.32.Ef

    Rotating and swirling flows

  • 05.40.-a

    Fluctuation phenomena, random processes, noise, and Brownian motion

  • 47.27.nb

    Boundary layer turbulence

  • 47.27.te

    Turbulent convective heat transfer

  • 47.65.-d

    Magnetohydrodynamics and electrohydrodynamics

International Patent Classification (IPC)

  • F28

    Heat exchange in general

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3682374

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    I. Grants, A. Pedchenko, and G. Gerbeth, “Experimental study of the suppression of Rayleigh-Bénard instability in a cylinder by combined rotating and static magnetic fields,” Phys. Fluids 18, 124104 (2006)PHFLE6000018000012124104000001.

    R. Touihri, H. Ben Hadid, and D. Henry, “On the onset of convective instabilities in cylindrical cavities heated from below. II. Effect of a magnetic field,” Phys. Fluids 11, 2089 (1999)PHFLE6000011000008002089000001.

    J. Friedrich, Y.-S. Lee, B. Fischer, C. Kupfer, D. Vizman, and G. Müller, “Experimental and numerical study of Rayleigh-Bénard convection affected by a rotating magnetic field,” Phys. Fluids 11, 853 (1999)PHFLE6000011000004000853000001.


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