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The Quarterly Journal of Mechanics and Applied Mathematics 1987 40(3):303-314; doi:10.1093/qjmam/40.3.303
© 1987 by Oxford University Press
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CELL SIZES AT THE ONSET OF OSCILLATORY CONVECTIVE INSTABILITY IN A LAYER OF LOW-PRANDTL-NUMBER FLUID SUBJECT TO ROTATION AND A VERTICAL MAGNETIC FIELD

J. M. LOPEZ and J. O. MURPHY

( Aerodynamics Division, Aeronautical Research Laboratories Port Melbourne, Victoria 3207, Australia
Department of Mathematics, Monash University Clayton, Victoria 3168, Australia )

The computed theoretical predictions of cell sizes at the onset of direct and oscillatory instabilities when a rotating layer of mercury is heated from below and subjected to the influence of a vertical magnetic field are compared with the experimentally determined values of Nakagawa (1). The point of transition from oscillatory instability to direct instability which is manifested in a discontinuous change in the cell sizes is also investigated.


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