POF Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter iResearch App Facebook

Physics of Fluids / Volume 16 / Issue 7 / ARTICLES

Phys. Fluids 16, 2228 (2004); http://dx.doi.org/10.1063/1.1736691 (9 pages)

Thermomagnetic convection in a square enclosure using a line dipole

Ranjan Ganguly, Swarnendu Sen, and Ishwar K. Puri

Department of Mechanical and Industrial Engineering, m/c 251, University of Illinois at Chicago, 842 West Taylor Street, Chicago, Illinois 60607-7022

(Received 30 October 2003; accepted 9 March 2004; published online 18 May 2004)

We have simulated thermomagnetic convection in a differentially heated square cavity with an infinitely long third dimension. The cavity is under the influence of an imposed two-dimensional magnetic field that conforms to the Maxwell’s equations. Our objective is to characterize the thermomagnetic convection in terms of the geometric length scales, magnetic fluid properties, temperature differences, and strengths of the imposed magnetic fields. Fluid motion occurs due to both the gradients of the magnetic field and the temperature. Colder fluid that has a larger magnetic susceptibility is attracted toward regions with larger field strength during thermomagnetic convection, which displaces warmer fluid of lower susceptibility. The height-averaged Nusselt number Nuav increases with increasing magnetic dipole strength and temperature but decreases with increasing fluid viscosity. Thermomagnetic heat transfer increases when the length scale decreases if the dipole strength of the source magnet is constant. This makes thermomagnetic convection a potentially viable option for microscale heat transfer applications. Thermomagnetic convection can be correlated with a dimensionless magnetic Rayleigh number Ram = (μ0ρ0βρχm,0m2 ΔT Pr/η2h2) and heat transfer due to this form of convection in the range Ram = 2×104–2×107 is as effective as buoyancy-induced convection in the range Ra = 1000–106. © 2004 American Institute of Physics.

© 2004 American Institute of Physics

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

convection, confined flow, magnetic fluids, two-phase flow, Maxwell equations, magnetic susceptibility, viscosity

PACS

  • 47.27.T-

    Turbulent transport processes

  • 66.20.-d

    Viscosity of liquids; diffusive momentum transport

  • 47.60.-i

    Flow phenomena in quasi-one-dimensional systems

  • 47.55.Kf

    Particle-laden flows

  • 75.60.-d

    Domain effects, magnetization curves, and hysteresis

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1736691

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.

    References

    P. D. Ye, D. Weiss, K. von Klitzing, and K. Eberl, "Fabrication and characterization of micromagnet on top of GaAs/AlGaAs heterostructures," Appl. Phys. Lett. 67, 1441 (1995)APPLAB000067000010001441000001.

    M. Drndic, K. S. Johnson, J. H. Thywissen, M. Prentiss, and R. M. Westervelt, "Micro-electromagnets for atom manipulation," Appl. Phys. Lett. 72, 2906 (1998)APPLAB000072000022002906000001.

    A. Lange, "Thermomagnetic convection of magnetic fluids in a cylindrical geometry," Phys. Fluids 14, 2059 (2002)PHFLE6000014000007002059000001.

    H. W. Müller and A. Engel, "Dissipation in ferrofluids: Mesoscopic versus hydrodynamic theory," Phys. Rev. E 60, 7001 (1999).


For access to citing articles, you need to log in.



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Thermomagnetic convection in a square enclosure using a line dipole
Go to AIP Home   © AIP Publishing LLC
close