Magnetohydrodynamics stability of a rotating flow with heat transfer

被引:17
作者
Bessaih, Rachid [2 ]
Boukhari, Ali [2 ]
Marty, Philippe [1 ]
机构
[1] LEGI, F-38041 Grenoble 9, France
[2] Univ Mentouri, Lab Energet Appl & Pollut, Dept Genie Mecan, Fac Sci Ingenieur, Constantine 25000, Algeria
关键词
Mixed convection; Magnetic field; Instabilities; Heat transfer; AXISYMMETRICAL VORTEX BREAKDOWN; CYLINDRICAL CONTAINER; SWIRLING FLOW; STEADY-STATES; CYLINDER; CONVECTION; ENDWALL; TOP;
D O I
10.1016/j.icheatmasstransfer.2009.06.009
中图分类号
O414.1 [热力学];
学科分类号
摘要
We study the magnetohydrodynamic stability of an axisymmetric rotating flow in a cylindrical enclosure filled with a liquid metal (Pr=0.015), having an aspect ratio equal to 2, and subjected to a vertical temperature gradient and an axial magnetic field. The finite volume method is used in order to solve the equations of continuity, momentum, energy, and electric potential. Without magnetic field, the critical Reynolds number is a decreasing function of the Richardson number owing to the destabilizing contribution of natural convection. In the presence of a vertical magnetic field, the flow stability is preserved for higher values of the Reynolds number. The stability diagram which is established shows the dependence of the critical Reynolds number with the increase of the Hartmann number. Ha, for various values of the Richardson number. This study confirms the possibility of stabilization of a liquid metal flow in mixed convection by application of an axial magnetic field. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:893 / 901
页数:9
相关论文
共 21 条
[1]   The VKS experiment: turbulent dynamical dynamos [J].
Aumaitre, Sebastien ;
BerhanU, Michael ;
Bourgoin, Mickael ;
Chiffaudel, Arnaud ;
Daviaud, Francois ;
Dubrulle, Berengere ;
Fauve, Stephan ;
Marie, Louis ;
Monchaux, Romain ;
Mordant, Nicolas ;
Odier, Philippe ;
Petrelis, Francois ;
Pinton, Jean-Francois ;
Plihon, Nicolas ;
Ravelet, Florent ;
Volk, Romain .
COMPTES RENDUS PHYSIQUE, 2008, 9 (07) :689-701
[2]   Magnetic field reversals in an experimental turbulent dynamo [J].
Berhanu, M. ;
Monchaux, R. ;
Fauve, S. ;
Mordant, N. ;
Petrelis, F. ;
Chiffaudel, A. ;
Daviaud, F. ;
Dubrulle, B. ;
Marie, L. ;
Ravelet, F. ;
Bourgoin, M. ;
Odier, Ph. ;
Pinton, J.-F. ;
Volk, R. .
EPL, 2007, 77 (05)
[3]   Numerical study of disk driven rotating MHD flow of a liquid metal in a cylindrical enclosure [J].
Bessaih, R ;
Marty, P ;
Kadja, M .
ACTA MECHANICA, 1999, 135 (3-4) :153-167
[4]  
Bessaih R., 2003, INT J TRANSP PHENOM, V5, P259
[5]   A numerical study of the recirculation zones during spin-up and spin-down for confined rotating flows [J].
Cui, XJ .
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2003, 17 (01) :31-49
[6]   OBSERVATIONS OF THE FLOW PRODUCED IN A CYLINDRICAL CONTAINER BY A ROTATING ENDWALL [J].
ESCUDIER, MP .
EXPERIMENTS IN FLUIDS, 1984, 2 (04) :189-196
[7]   Stability of multiple steady states of convection in laterally heated cavities [J].
Gelfgat, AY ;
Bar-Yoseph, PZ ;
Yarin, AL .
JOURNAL OF FLUID MECHANICS, 1999, 388 :315-334
[8]   Steady states and oscillatory instability of swirling flow in a cylinder with rotating top and bottom [J].
Gelfgat, AY ;
BarYoseph, PZ ;
Solan, A .
PHYSICS OF FLUIDS, 1996, 8 (10) :2614-2625
[9]  
GRANGER RA, 1986, V KARMAN I LECT SERI, V1, P1986
[10]   Flow pattern and heat transfer of swirling flows in cylindrical container with rotating top and stable temperature gradient [J].
Iwatsu, R .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2004, 47 (12-13) :2755-2767