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

Svetlana Aleksandrova; Sergei Molokov

doi:10.1016/j.fluiddyn.2004.04.002

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 journal › Article › peer-review

38 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 language	English
Pages (from-to)	37-66
Number of pages	30
Journal	Fluid Dynamics Research
Volume	35
Issue number	1
DOIs	https://doi.org/10.1016/j.fluiddyn.2004.04.002
Publication status	Published - Jul 2004

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

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10.1016/j.fluiddyn.2004.04.002

Cite this

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

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.",

keywords = "MHD, Magnetohydrodynamics, strong magnetic fields, Convection",

author = "Svetlana Aleksandrova and Sergei Molokov",

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 {\textcopyright} 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. ",

year = "2004",

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T1 - Three-dimensional buoyant convection in a rectangular cavity with differentially heated walls in a strong magnetic field

AU - Aleksandrova, Svetlana

AU - Molokov, Sergei

N1 - 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.

PY - 2004/7

Y1 - 2004/7

N2 - 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.

AB - 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.

KW - MHD

KW - Magnetohydrodynamics

KW - strong magnetic fields

KW - Convection

U2 - 10.1016/j.fluiddyn.2004.04.002

DO - 10.1016/j.fluiddyn.2004.04.002

M3 - Article

SN - 0169-5983

VL - 35

SP - 37

EP - 66

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

IS - 1

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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