A scaling analysis to characterize thermomagnetic convection

被引:66
作者
Mukhopadhyay, A
Ganguly, R
Sen, S
Puri, IK [1 ]
机构
[1] Virginia Polytech Inst & State Univ, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
[2] Jadavpur Univ, Dept Power Engn, Kolkata 700032, W Bengal, India
[3] Univ Illinois, Dept Mech & Ind Engn, Chicago, IL 60607 USA
[4] Jadavpur Univ, Dept Mech Engn, Kolkata 700032, W Bengal, India
关键词
D O I
10.1016/j.ijheatmasstransfer.2005.03.021
中图分类号
O414.1 [热力学];
学科分类号
摘要
Thermomagnetic convection is characterized using scaling arguments. We consider a square enclosure filled with a ferrofluid that is under the influence of an external magnetic field created by a line dipole. The height-averaged Nusselt number scales with the magnetic Rayleigh number as Nu similar to Ra-m(0.25) M. This result is in excellent agreement with predictions obtained from detailed numerical simulations. Use of the Langevin equation of ferrofluid magnetization identifies an optimum enclosure height for which the Nusselt number reaches a maximum value for a given line dipole strength. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3485 / 3492
页数:8
相关论文
共 30 条
[1]  
Bejan A., 1984, CONVECTION HEAT TRAN
[2]  
BERKOVSKY B, P INT ADV COURS WORK, P149
[3]  
BERKOVSKY B, 1996, MAGNETIC FLUIDS APPL, P549
[4]   CONVECTIVE INSTABILITY OF FERROMAGNETIC FLUIDS [J].
FINLAYSON, BA .
JOURNAL OF FLUID MECHANICS, 1970, 40 :753-+
[5]   Thermomagnetic convection in a square enclosure using a line dipole [J].
Ganguly, R ;
Sen, S ;
Puri, IK .
PHYSICS OF FLUIDS, 2004, 16 (07) :2228-2236
[6]   Heat transfer augmentation using a magnetic fluid under the influence of a line dipole [J].
Ganguly, R ;
Sen, S ;
Puri, IK .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2004, 271 (01) :63-73
[7]  
GIGNOUX D, 2002, MAGNETISM, V1, P19
[8]  
GRIFFITHS DJ, 2002, INTRO ELECTRODYNAMIC
[9]   Numerical analysis of unsteady gas-liquid two-phase flow of magnetic fluid [J].
Kamiyama, S ;
Ueno, K ;
Yokota, Y .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1999, 201 :271-275
[10]   Buoyant convection in a cubical enclosure under time-periodic magnetizing force [J].
Kim, KH ;
Hyun, JM .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2004, 47 (24) :5211-5218