Statistics – Computation
Scientific paper
Aug 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..86...33s&link_type=abstract
Astrophysics and Space Science, vol. 86, no. 1, Aug. 1982, p. 33-42.
Statistics
Computation
1
Benard Cells, Free Convection, Magnetohydrodynamic Flow, Prandtl Number, Temperature Gradients, Vertical Distribution, Computational Fluid Dynamics, Inviscid Flow, Magnetohydrodynamic Stability, Plasma Oscillations, Plasma Physics, Rayleigh Number, Viscous Fluids
Scientific paper
A theoretical study of the occurrence of the oscillatory mode in a magnetized fluid in the presence of vertical and horizontal temperature gradients is presented. The occurrence of oscillatory solutions to the Benard problem is examined for both highly viscous and low-viscosity fluids as a function of Prandtl number, magnetic number, resistivity number, and the ratio of applied temperature gradients. In the case of low Prandtl number fluids, the primary flow is stable against stationary longitudinal roll-cell modes, but becomes increasingly susceptible to oscillatory instabilities which may prevail in the presence of even the smallest horizontal temperature gradient. In the case of high Prandtl numbers, the critical Rayleigh number increases as the horizontal temperature gradient increases.
Singhal R.
Srivastava Manoj K.
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