Three-dimensional Rayleigh–Bénard convection of molten gallium in a rotating cuboid under the influence of a vertical magnetic field

The present work deals with magnetoconvection of molten gallium in a cuboid rotating about a vertical axis passing through its center. The governing equations are derived in a non-inertial frame of reference considering both centrifugal and Coriolis forces. A vertical magnetic field is applied throu...

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Bibliographic Details
Published in:International journal of heat and mass transfer Vol. 78; pp. 341 - 353
Main Authors: Jena, Sofen Kumar, Yettella, Vineel Kumar Reddy, Sandeep, Chinta Phani Rama, Mahapatra, Swarup Kumar, Chamkha, Ali J.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.11.2014
Subjects:
Algorithms
Centrifugal force
Coriolis force
Magnetic fields
Magnetoconvection
Mass transfer
Mathematical analysis
Mathematical models
Operator splitting algorithm
Rotating
Rotating cavity
Three dimensional
Rotating cavity
Centrifugal force
Magnetoconvection
Operator splitting algorithm
Coriolis force
ISSN:0017-9310, 1879-2189
Online Access:Get full text
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Summary:The present work deals with magnetoconvection of molten gallium in a cuboid rotating about a vertical axis passing through its center. The governing equations are derived in a non-inertial frame of reference considering both centrifugal and Coriolis forces. A vertical magnetic field is applied through the center opposite to the direction of gravity. The cuboid is heated from below and cooled at top, while the remaining walls of the cuboid are thermally insulated. The modified Marker and Cell method is adopted for the numerical solution of the governing equations. The gradient dependent consistent hybrid upwinding scheme of second order is adopted for the discretization of the convective terms in the momentum equations. The operator splitting algorithm is used for the numerical treatment of the energy equation. The effects of cavity rotation and applied magnetic field on heat and momentum transport processes have been investigated. The uniform thorough mixing of fluids by rotation and regularization of flow by magnetic field are observed. The governing flow field and temperature distribution are shown graphically to elucidate the intricate physics of the phenomenon.
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ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2014.06.036