Axisymmetric convection with a magnetic field
The non-linear Boussinesq equations describing axisymmetric convection in a cylinder with an initially uniform magnetic field have been integrated forward in time numerically. When the field is weak a strong central fluxrope is formed at the axis. In this case the maximum field strength can be limited either kinematically or by dynamical effects, and the equipartition prediction B2max ∼ 4πϱu2 is easily exceeded. If the field is strong oscillations can occur and hysteresis is possible as the field is increased and decreased.
KeywordsNusselt Number Rayleigh Number Heat Transport Magnetic Reynolds Number Induction Equation
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- Galloway, D.J., Proctor, M.R.E., and Weiss, N.O. 1976. Nature, to be publishedGoogle Scholar
- Galloway, D.J., 1976. Ph.D. Thesis, University of CambridgeGoogle Scholar
- Jones, C.A., Moore, D.R., and Weiss, N.O., 1976. J.Fluid Mech. 73, 353Google Scholar
- Weiss, N.O., 1966. Proc. Roy. Soc. A, 293, 310Google Scholar