Three-dimensional buoyant convection in a rectangular cavity with differentially heated walls in a strong magnetic field

Svetlana Aleksandrova, Sergei Molokov

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

Three-dimensional buoyant convection in a rectangular cavity with a horizontal temperature gradient in a strong, uniform magnetic field is considered. The walls of the cavity are electrically insulating. An asymptotic solution to the problem in the inertialess approximation is obtained for high values of the Hartmann number, Ha. In the presence of either the vertical or the horizontal longitudinal fields, the three-dimensional flow is characterised by high-velocity jets at the walls of the cavity parallel to the magnetic field. The velocity of the jets is O(Ha) times higher than in the bulk of the fluid. On the other hand, in the presence of the horizontal transverse magnetic field, the velocity in the core is O(Ha) times higher than in the other two cases. However, no jets are present in the parallel layers. The analysis of the convective heat transfer for low values of the Peclet number shows that either the vertical, or the longitudinal field is the most efficient in damping of the convective heat transfer, depending on the dimensions of the cavity.
Original languageEnglish
Pages (from-to)37-66
Number of pages30
JournalFluid Dynamics Research
Volume35
Issue number1
DOIs
Publication statusPublished - Jul 2004

Fingerprint

Convection
Cavity
Magnetic Field
Magnetic fields
Three-dimensional
Convective Heat Transfer
Horizontal
Heat transfer
Peclet number
Vertical
Thermal gradients
Three-dimensional Flow
Asymptotic Solution
Damping
Transverse
Fluids
Gradient
Fluid
Approximation

Bibliographical note

This is an author-created, un-copyedited version of an article accepted for publication/published in Fluid Dynamics Research. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://dx.doi.org/10.1016/j.fluiddyn.2004.04.002

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

Keywords

  • MHD
  • Magnetohydrodynamics
  • strong magnetic fields
  • Convection

ASJC Scopus subject areas

  • Mechanical Engineering
  • Applied Mathematics

Cite this

Three-dimensional buoyant convection in a rectangular cavity with differentially heated walls in a strong magnetic field. / Aleksandrova, Svetlana; Molokov, Sergei.

In: Fluid Dynamics Research, Vol. 35, No. 1, 07.2004, p. 37-66.

Research output: Contribution to journalArticle

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