Axisymmetric convection with a magnetic field

  • D. J. Galloway
V. Rotation and Magnetic Fields
Part of the Lecture Notes in Physics book series (LNP, volume 71)


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.


Nusselt Number Rayleigh Number Heat Transport Magnetic Reynolds Number Induction Equation 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • D. J. Galloway
    • 1
  1. 1.Astronomy CentreUniversity of SussexBrightonEngland

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