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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Faraday, M., 1847, “On the Diamagnetic Condition of Flame and Gases,” Phil. Mag. S. 3, No. 210, p. 401.
Pauling,  L., Wood,  R. E., and Sturdivant,  J. H., 1946, “An Instrument for Determining of Partial Pressure of Oxygen in a Gas,” J. Am. Chem. Soc., 68, p. 795.
Wakayama,  N. I., 1991, “Behavior of Flow Under Gradient Magnetic Fields,” J. Appl. Phys., 69, No. 4, pp. 2734–2736.
Wakayama,  N. I., 1991, “Effect of a Decreasing Magnetic Field on the Flow of Nitrogen Gas,” Chem. Phys. Lett., 185, No. 5–6, pp. 449–451.
Wakayama,  N. I., 1993, “Magnetic Promotion of Combustion in Diffusion Flames,” Combust. Flame, 93, No. 3, pp. 207–214.
Wakayama,  N. I., Ito,  H., Kuroda,  Y., Fujita,  O., and Ito,  K., 1996, “Magnetic Support of Combustion in Diffusion Flames Under Mico Gravity,” Combust. Flame, 107, No. 1–2, pp. 187–192.
Bai,  B., Yabe,  A., Qi,  J., and Wakayama,  N. I., 1999, “Quantitative Analysis of Air Convection Caused by Magnetic-Fluid Coupling,” AIAA J., 37, No. 12, pp. 1538–1543.
Braithwaite,  D., Beaugnon,  E., and Tournier,  R., 1991, “Magnetically Controlled Convection in a Paramagnetic Field,” Nature (London), 354(6349), pp. 134–136.
Ikezoe,  Y., Hirota,  N., Nakagawa,  J., and Kitazawa,  K., 1998, “Making Water Levitate,” Nature (London), 393, pp. 749–750.
Ikezoe,  Y., Hirota,  N., Sakihama,  T., Mogi,  K., Uetake,  H., Homma,  T., Nakagawa,  J., Sugawara,  H., and Kitazawa,  K., 1998, “Acceleration Effect on the Rate of Dissolution of Oxygen in a Magnetic Field, (in Japanese),” Journal of Japan Institute of Applied Magnetics, 22, No. 4-2, pp. 821–824.
Uetake,  H., Nakagawa,  J., Hirota,  N., and Kitazawa,  K., 1999, “Nonmechanical Magnetothermal Wind Blower by a Superconducting Magnet,” J. Appl. Phys., 85, No. 8, pp. 5735–5737.
Nakagawa,  J., Hirota,  N., Kitazawa,  K., and Shoda,  M., 1999, “Magnetic Field Enhancement of Water Vaporization,” J. Appl. Phys., 86, No. 5, pp. 2923–2925.
Hellums,  J. D. and Churchill,  S. W., 1964, “Simplification of the Mathematical Description of Boundary and Initial Value Problem,” AIChE J., 10, pp. 110–114.
Hirt, C. W., Nichols, B. D., and Romero, N. C., 1975, “A Numerical Solution Algorithm for Transient Fluid Flows,” Technical Report, Los Alamos Scientific Laboratory, LA-5852.


Grahic Jump Location
Schematic drawing of magnetic field with two coils at opposing side walls
Grahic Jump Location
Transient numerical responses of the average Nusselt number at the top hot plate (Nuh) and bottom cold plate (Nuc)
Grahic Jump Location
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.
Grahic Jump Location
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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