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Titolo: The effect of an external magnetic field on oscillatory instability of convective flows in a rectangular cavity
Autore: Gelfgat, AY; BarYoseph, PZ;
 Indirizzi:
 Technion Israel Inst Technol, Fac Mech Engn, Computat Mech Lab, IL32000 Haifa, Israel Technion Israel Inst Technol Haifa Israel IL32000 L32000 Haifa, Israel
 Titolo Testata:
 PHYSICS OF FLUIDS
fascicolo: 8,
volume: 13,
anno: 2001,
pagine: 2269  2278
 SICI:
 10706631(200108)13:8<2269:TEOAEM>2.0.ZU;2G
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 LOWPRANDTLNUMBER; MOLTEN GALLIUM; NATURALCONVECTION; LIQUIDMETAL;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 21
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Gelfgat, AY Technion Israel Inst Technol, Fac Mech Engn, Computat Mech Lab, IL32000 Haifa, Israel Technion Israel Inst Technol Haifa Israel IL32000 a, Israel



 Citazione:
 A.Y. Gelfgat e P.Z. BarYoseph, "The effect of an external magnetic field on oscillatory instability of convective flows in a rectangular cavity", PHYS FLUIDS, 13(8), 2001, pp. 22692278
Abstract
The present study is devoted to the problem of onset of oscillatory instability in convective flow of an electrically conducting fluid under an externally imposed timeindependent uniform magnetic field. Convection of a lowPrandtlnumber fluid in a laterally heated twodimensional horizontal cavity is considered. Fixed values of the aspect ratio (length/height=4) and Prandtl number (Pr=0.015), which are associated with the horizontal Bridgman crystal growth process and are commonly used for benchmarking purposes, are considered. The effect of a uniform magnetic field with different magnitudes and orientations on the stability of the two distinct branches (with a singlecell or a twocell pattern) of the steady state flows is investigated. Stability diagrams showing the dependence of the critical Grashof number on the Hartmann number are presented. It is shown that a vertical magnetic field provides the strongest stabilization effect, and also that multiplicity of steady states is suppressed by the electromagnetic effect, so that at a certain field level only the singlecell flows remain stable. An analysisof the most dangerous flow perturbations shows that starting with a certain value of the Hartmann number, singlecell flows are destabilized inside thin Hartmann boundary layers. This can lead to destabilization of the flow with an increase of the field magnitude, as is seen from the stability diagrams obtained. Contrary to the expected monotonicity of the stabilization process with an increase of the field strength, the marginal stability curves show nonmonotonic behavior and may contain hysteresis loops. (C) 2001 American Institute of Physics.
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Documento generato il 29/09/20 alle ore 10:28:14