RESEARCH PAPERS: Natural Convection

Enhancement of Heat Transfer Rate by Application of a Static Magnetic Field During Natural Convection of Liquid Metal in a Cube

[+] Author and Article Information
T. Tagawa

Interdisciplinary Graduate School of Engineering Science, Kyushu University, Kasuga, Fukuoka 816, Japan

H. Ozoe

Institute of Advanced Material Study, Kyushu University, Kasuga, Fukuoka 816, Japan

J. Heat Transfer 119(2), 265-271 (May 01, 1997) (7 pages) doi:10.1115/1.2824219 History: Received June 24, 1996; Revised December 20, 1996; Online December 05, 2007


Natural convection of liquid metal in a cubical enclosure under an external magnetic field was investigated by three-dimensional numerical analyses. The system parameters were Ra = 105 and 106 , Pr = 0.025, and Ha = 0–1000. One vertical wall of the cubical enclosure was heated, and the opposing vertical wall was cooled, both isothermally; the other four walls were thermally insulated. A uniform horizontal magnetic field was applied parallel to the heated and cooled walls. At Ra = 105 and Ha = 50, the average Nusselt number on the heated wall attained almost the maximum value and was greater than that at Ha = 0. The velocity vectors along the vertical walls, and those along the horizontal planes, were rectified in a two-dimensional way at Ha = 50 or over, and the average Nusselt number decreased gradually for higher values of the Hartmann number. Similar characteristics were obtained at Ra = 106 . The agreement with our earlier experiments was moderately good.

Copyright © 1997 by The American Society of Mechanical Engineers
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