Abstract
A numerical investigation was carried out for natural convection of air (paramagnetic fluid) in a cubic enclosure subjected to constant gravity and time-periodic magnetizing force. Since the magnetizing force expressed as the gradient of magnetic induction squared in each direction, has three-dimensional characteristics, three-dimensional modeling of system would be required to investigate the effect of magnetizing force more accurately. In this study as a sequent research, the basic analysis of Kang and Hyun [16] was extended to the case of three-dimensional and to cases when the magnitude of magnetizing force is varied. Two geometrical configurations for the location of electrical coils, were considered. The amplification characteristics of heat transfer rate in the cube according to the change of the magnitude of magnetizing force, were investigated especially when the resonance occurs. The numerical results showed that the heat transfer is enhanced appreciably by application of large magnitude of magnetizing force. In addition, the results for two- and three-dimensional cases were also compared.
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References
D. Braithwaite, E. Beaugnon and R. Tournier, Magnetically controlled convection in paramagnetic fluid, Nature, 354 (1991) 134–136.
B. Bai, A. Yabe, J. Qi and N. I. Wakayama, Quantitative analysis of air convection caused by magnetic-fluid coupling, AIAA Journal, 37 (1999) 1538–1543.
J. Qi, N. I. Wakayama and A. Yabe, Magnetic control of thermal convection in electrically non-conducting or lowconducting paramagnetic fluids, International Journal of Heat and Mass Transfer, 44 (2001) 3043–3052.
T. Tagawa, R. Shigemitsu and H. Ozoe, Magnetizing force modeled and numerically solved for natural convection of air in a cubic enclosure: effect of the direction of the magnetic field, International Journal of Heat and Mass Transfer, 45 (2002) 267–277.
R. Shigemitsu, T. Tagawa and H. Ozoe, Numerical computation for natural convection of air in a cubic enclosure under combination of magnetizing and gravitational forces, Numerical Heat Transfer, Part A, 43 (2003) 449–463.
T. Tagawa, A. Ujihara and H. Ozoe, Numerical computation for Rayleigh-Benard convection of water in a magnetic field, International Journal of Heat and Mass Transfer, 46 (2003) 4097–4104.
P. Filar, E. Fornalik, M. Kaneda, T. Tagawa, H. Ozoe and J. S. Szmyd, Three-dimensional numerical computation for magnetic convection of air inside a cylinder heated and cooled isothermally from a side wall, International Journal of Heat and Mass Transfer, 48 (2005) 1858–1867.
T. Bednarz, E. Fornalik, T. Tagawa, H. Ozoe and J. S. Szmyd, Experimental and numerical analyses of magnetic convection of paramagnetic fluid in a cube heated and cooled from opposing verticals walls, International Journal of Thermal Sciences, 44 (2005) 933–943.
J. L. Lage and A. Bejan, The resonance of natural convection in an enclosure heated periodically from the side, International Journal of Heat and Mass Transfer, 36 (1993) 2027–2038.
B. V. Antohe and J. L. Lage, A dynamic thermal insulator: inducing resonance within a fluid saturated porous medium enclosure heated periodically from the side, International Journal of Heat and Mass Transfer, 37 (1994) 771–782.
B. V. Antohe and J. L. Lage, Amplitude effect on convection induced by time-periodic horizontal heating, International Journal of Heat and Mass Transfer, 39 (1996) 1121–1133.
H. S. Kwak and J. M. Hyun, Natural convection in an enclosure having a vertical sidewall with time-varying temperature, Journal of Fluid Mechanics, 329 (1996) 65–88.
H. S. Kwak, K. Kuwahara and J. M. Hyun, Prediction of the resonance frequency of natural convection in an enclosure with time-periodic heating imposed on one sidewall, International Journal of Heat and Mass Transfer, 41 (1998) 3157–3160.
H. S. Kwak, K. Kuwahara and J. M. Hyun, Resonant enhancement of natural convection heat transfer in a square enclosure, International Journal of Heat and Mass Transfer, 41 (1998) 2837–2846.
K. H. Kim, J. M. Hyun and H. S. Kwak, Buoyant convection in a side-heated cavity under gravity and oscillations, International Journal of Heat and Mass Transfer, 44 (2001) 857–861.
D. G. Kang and J. M. Hyun, Buoyant convection in an enclosure under time-periodic magnetizing force, International Journal of Heat and Mass Transfer, 50 (2007) 605–615.
S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere/McGraw-Hill, New York, USA (1980).
T. Hayase, J. A. C. Humphrey and R. Greif, A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures, Journal of Computational Physics, 98 (1992) 108–118.
S. Paolucci and D. R. Chenoweth, Transition to chaos in a differentially heated vertical cavity, Journal of Fluid Mechanics, 201 (1989) 379–410.
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Recommended by Associate Editor Hyoung-gwon Choi
Dong Gu Kang received his B.S. in mechanical engineering from Pusan National University. He then received M.S. in mechanical engineering and Ph.D. in nuclear and quantum engineering from KAIST. He is currently a Senior Researcher of Korea Institute of Nuclear Safety.
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Kang, D.G., Hyun, J.M. Resonant enhancement of natural convection in a cubic enclosure under time-periodic magnetizing force. J Mech Sci Technol 31, 717–724 (2017). https://doi.org/10.1007/s12206-017-0123-3
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DOI: https://doi.org/10.1007/s12206-017-0123-3