Some predictions from the mean field equations of magnetoconvection

Details Some predictions from the mean field equations of magnetoconvection Some predictions from the mean field equations of magnetoconvection

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980aujph..33...47r&link_type=abstract

Australian Journal of Physics, vol. 33, Mar. 1980, p. 47-58. NSF-supported research.

Physics

1

Boundary Layer Equations, Convective Heat Transfer, Magnetic Effects, Prediction Analysis Techniques, Heat Flux, Optimization, Propagation Modes, Rayleigh Number

Scientific paper

The mean field approximation is used to study nonlinear magnetic convection; the specific problem considered is the effect of a magnetic field on convection between two stress-free horizontal boundaries at large Rayleigh numbers. The boundary layer method is used assuming large Rayleigh number R for different ranges of the Chandrasekhar number Q. The heat flux F is determined for wavenumbers which optimize F. It is shown that there are a finite number of modes in the ranges Q much less than R to the 2/3 power and R to the 2/3 power much less than Q much less than R; and that the number of modes increases with increasing Q in the former range and decreases with decreasing Q in the latter range. For Q = O(R to the 2/3 power) ther are infinitely many modes, and F is proportional to R to the 1/3 power.

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