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Rayleigh–Bénard convection and pattern formation in magnetohydrodynamics

Published online by Cambridge University Press:  01 October 1998

RENU BAJAJ  and
S. K. MALIK
RENU BAJAJ
Affiliation:
Department of Mathematics, Panjab University, Chandigarh 160014, India
S. K. MALIK
Affiliation:
Department of Mathematics, Panjab University, Chandigarh 160014, India
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Abstract

A nonlinear thermal instability in a layer of electrically conducting fluid in the presence of a magnetic field is discussed. Steady-state bifurcation results in the formation of patterns: rolls, squares and hexagons. The stability of various patterns is also investigated. It is found that in the absence of a magnetic field only rolls are stable, but when the magnetic field strength exceeds a certain finite value, squares and hexagons also become stable.

Type
Research Article
Information
Journal of Plasma Physics , Volume 60 , Issue 3 , October 1998 , pp. 529 - 539
Copyright
1998 Cambridge University Press

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