The dynamic effect of flux ropes on Rayleigh-Benard convection

Details The dynamic effect of flux ropes on Rayleigh-Benard convection The dynamic effect of flux ropes on Rayleigh-Benard convection

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jfm....90..273p&link_type=abstract

Journal of Fluid Mechanics, vol. 90, Jan. 29, 1979, p. 273-287.

Physics

15

Benard Cells, Boundary Layer Flow, Convective Flow, Magnetic Flux, Solar Atmosphere, Solar Magnetic Field, Boussinesq Approximation, Magnetic Effects, Peclet Number, Reynolds Number, Solar Physics, Temperature Effects, Velocity Distribution

Scientific paper

The paper presents an analysis of convection with an axisymmetric poloidal velocity field and a magnetic field in a Boussinesq fluid in a cylinder (the Rayleigh-Benard problem). The analysis is along the lines developed by Busse (1975) for a two-dimensional Rayleigh-Benard problem for very small magnetic field, but the cylindrical geometry allows the boundary-layer methods of Galloway et al. (1978) to be applied. The results differ qualitatively from Busse's. For the axisymmetric case higher values of magnetic Reynolds number can be obtained only for larger temperature contrasts, when magnetic contrasts are small. For larger fluxes, however, subcritical bifurcation is possible.

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