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TECHNICAL PAPERS: Natural and Mixed Convection

Convection Induced by a Cusp-Shaped Magnetic Field for Air in a Cube Heated From Above and Cooled From Below

[+] Author and Article Information
Masayuki Kaneda

Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga koen 6-1, Kasuga 816-8580, Japan

Toshio Tagawa, Hiroyuki Ozoe

Institute of Advanced Material Study, Kyushu University, Kasuga koen 6-1, Kasuga 816-8580, Japan

J. Heat Transfer 124(1), 17-25 (Jun 12, 2001) (9 pages) doi:10.1115/1.1418369 History: Received November 07, 2000; Revised June 12, 2001
Copyright © 2002 by ASME
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References

Figures

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Schematic drawing of magnetic field with two coils at opposing side walls
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Transient numerical responses of the average Nusselt number at the top hot plate (Nuh) and bottom cold plate (Nuc)
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Summary of computed results for the two coils at opposing side walls and non-gravity field at γRa=0.5×105, Pr=0.71, and g=0: (a) streak lines of four particles; (b) velocity vectors in a vertical plane of X=0.5; (c) a perspective view of isotherms; (d) isothermal contours in a vertical plate of X=0.5; (e) magnetizing force vectors of −γRa Pr T∇B2 (the scale is the same as in Figs. 5(e) and 6(e); (f) magnetizing force vectors in (e) enlarged five times; (g) contour maps of local Nusselt numbers on the top hot plate; and (h) contour maps of local Nusselt numbers on the bottom cold plate.
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Schematic of the magnetic field with four coils
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Summary of the computed result with four coils and non-gravity field at γRa=0.5×105, Pr=0.71 and g=0. Except for (e), (a) to (h) are the same as those of Fig. 3. Figure 5(e) is a perspective view of magnetizing force vectors in three vertical planes at X=0.15, 0.5 and 0.85.
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Summary of the computed result with four coils and the gravity field at γ=0.5, Ra=105 and Pr=0.71. Except for (e) and (f), (a) to (h) are the same as those of Fig. 3. Figure 6(e) shows magnetizing force vectors at X=0.5. Figure 6(f) shows the magnetizing and buoyancy forces in a vertical plane of X=0.5. Figure 6(g) and (h) are the same as those of Fig. 3.
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Schematics of experimental setup: (a) schematic side view of the four electromagnets and the experimental cube located in the center; and (b) photograph of the side view of the experimental magnets and air box.
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Flow visualization with incense smoke. Three consecutive photographs at Th−Tc=32 [K]: (a) non-magnetic field; and (b) cusp-shaped magnetic field with the maximum magnetic induction of 1.0 [T].

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