Magnetic flux ropes and convection

Details Magnetic flux ropes and convection Magnetic flux ropes and convection

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jfm....87..243g&link_type=abstract

Journal of Fluid Mechanics, vol. 87, July 26, 1978, p. 243-261.

Physics

53

Convection, Magnetic Diffusion, Magnetic Field Configurations, Magnetic Flux, Magnetohydrodynamic Flow, Boundary Layer Flow, Boussinesq Approximation, Conducting Fluids, Kinematics, Reynolds Number, Solar Physics, Temperature Distribution, Three Dimensional Flow, Two Dimensional Flow

Scientific paper

Three-dimensional cellular convection concentrates magnetic flux into ropes when the magnetic Reynolds number is large. Amplification of the magnetic field is limited by the Lorentz force and the maximum field in a flux rope can be estimated. Boundary-layer analysis yields a completely self-consistent solution for a model of convection driven by imposed horizontal temperature gradients, and the transition from a kinematic to a dynamic regime can be followed in detail. The maximum value of the amplified field is proportional to the square root of the ratio of the viscous to the magnetic diffusivity.

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