Effects of a Magnetic Modulation on the Stability of a Magnetic Liquid Layer Heated From Above-Reference-Cited by-同舟云学术

Effects of a Magnetic Modulation on the Stability of a Magnetic Liquid Layer Heated From Above

Published:2001-01-03 Issue:3 Volume:123 Page:428-433
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Aniss Saı¨d¹,Belhaq Mohamed¹,Souhar Mohamed²

Affiliation:

1. Faculte´ des Sciences Aı¨n chock, UFR de Me´canique, BP 5366 Maa^rif, Casablanca, Morocco

2. Lemta-Ensem, UMR 7563, 2 avenue de la Fore^t de Haye, BP 160, Vandoeuvre 54504, France

Abstract

The effect of a time-sinusoidal magnetic field on the onset of convection in a horizontal magnetic fluid layer heated from above and bounded by isothermal non magnetic boundaries is investigated. The analysis is restricted to static and linear laws of magnetization. A first order Galerkin method is performed to reduce the governing linear system to the Mathieu equation with damping term. Therefore, the Floquet theory is used to determine the convective threshold for the free-free and rigid-rigid cases. With an appropriate choice of the ratio of the magnetic and gravitational forces, we show the possibility to produce a competition between the harmonic and subharmonic modes at the onset of convection.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/123/3/428/5750615/428_1.pdf

Reference24 articles.

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4. Shwab, L., Hildebrandt, U., and Stierstadt, K., 1983, “Magnetic Be´nard Convection,” J. Magn. Magn. Mater., 39, p. 113113.

5. Stiles, P. J., and Kagan, M., 1990, “Thermoconvective Instability of a Horizontal Layer of Ferrofluid in a Strong Vertical Magnetic Field,” J. Magn. Magn. Mater., 85, pp. 196–198.

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