Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-28T00:07:25.914Z Has data issue: false hasContentIssue false

Natural Convection of Temperature-Sensitive Magnetic Fluids in Porous Media

Published online by Cambridge University Press:  03 June 2015

Valentin Roussellet*
Affiliation:
Applied Mathematics and Systems Laboratory, École Centrale Paris, 92295 Châtenay-Malabry, France Department of Mechanical Engineering, Doshisha University, Kyoto 610-0321, Japan
Xiaodong Niu*
Affiliation:
Department of Mechanical Engineering, Doshisha University, Kyoto 610-0321, Japan
Hiroshi Yamaguchi*
Affiliation:
Department of Mechanical Engineering, Doshisha University, Kyoto 610-0321, Japan
Frédéric Magoulés*
Affiliation:
Applied Mathematics and Systems Laboratory, École Centrale Paris, 92295 Châtenay-Malabry, France
*
Corresponding author. URL: http://kenkyudb.doshisha.ac.jp/rd/search/researcher/108197/index-j.html Email: [email protected]
Get access

Abstract

In this article, natural convection of a temperature-sensitive magnetic fluid in a porous media is studied numerically by using lattice Boltzmann method. Results show that the heat transfer decreases when the ball numbers increase. When the magnetic field is increased, the heat transfer is enhanced; however the average wall Nusselt number increases at small ball numbers but decreases at large ball numbers due to the induced flow being more likely confined near the bottom walls with a high number of obstacles.

Type
Research Article
Copyright
Copyright © Global-Science Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Rosensweig, R. E., Ferrohydrodynamics, Cambridge University Press, London, 1985.Google Scholar
[2] Yamaguchi, H., Engineering Fluid Mechanics, Springer, Netherlands, 2008.Google Scholar
[3] Hiegeister, R., Andra, W., Buske, N., Hergt, R., Hilger, I., Richter, U., AND Kaiser, W., Application of magnetite ferrofluids for hyperthermia, J. Magn. Magn. Mater., 201 (1999), pp. 420422.Google Scholar
[4] Shuchi, S., Sasatani, K., and Yamaguchi, H., J. Magn. Magn. Mater., 289 (2005), pp. 257.Google Scholar
[5] Berkovsky, B. M., Magnetic Fluids Engineering Applications, Oxford University Press, New York, 1993.Google Scholar
[6] Finlayson, B. A., Convective instability of ferromagnetic fluids, J. Fluid. Mech., 40 (1970), pp. 753767.Google Scholar
[7] Schwab, L., Hildebrandt, U., and Stierstadt, K., Magnetic Bénard convection, J. Magn. Magn. Mater., 39 (1983), pp. 113114.Google Scholar
[8] Krakov, M. S., and Nikiforov, I. V., To the influence of uniform magnetic field on thermo-magnetic convection in square cavity, J. Magn. Magn. Mater., 252 (2002), pp. 209211.Google Scholar
[9] Yamaguchi, H., Kobori, I., Uehata, Y., and Shimada, K., Natural convection of magnetic fluid in a rectangular box, J. Magn. Magn. Mater., 201 (1999), pp. 264–167.Google Scholar
[10] Yamaguchi, H., Kobori, I., and Uehata, Y., Heat transfer in natural convection of magnetic fluids, J. Thermophys. Heat. Transfer., 13 (1999), pp. 501507.Google Scholar
[11] Nield, D. A., and Bejan, A., Convection in Porous Media, third ed., Springer, New York, 2006.Google Scholar
[12] Ingham, D. B., and Pop, I., Transport Phenomena in Porous Media, Elsevier, Oxford, 2005.Google Scholar
[13] Chen, S., and Doolen, G. D., Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid. Mech., 30 (1998), pp. 329364.Google Scholar
[14] Krakov, M. S., and Nikiforov, I. V., To the influence of uniform magnetic field on thermo-magnetic convection in square cavity, J. Magn. Magn. Mater., 252 (2002), pp. 209211.Google Scholar
[15] Niu, X. D., Yamaguch, H., and Yoshikawa, K., Lattice Boltzmann model for simulating temperature-sensitive ferrofluids, Phys. Rev. E., 79(4) (2009), 046713.Google Scholar
[16] Lallemand, P., and Luo, L.-S., Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability, Phys. Rev. E., 61 (2000), pp. 65466562.Google Scholar
[17] Wolf-Gladrow, D. A., Lattice-Gas Cellula Automata and Lattice Boltzmann Models, Springer, Berlin, 2000.Google Scholar