On the law of isorotation and laboratory experiments

Details On the law of isorotation and laboratory experiments On the law of isorotation and laboratory experiments

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976plph...18..143a&link_type=abstract

Plasma Physics, vol. 18, Feb. 1976, p. 143-154.

Physics

Plasma Physics

2

Astronomical Models, Incompressible Fluids, Rotating Plasmas, Stellar Rotation, Toroidal Plasmas, Boundary Conditions, Boundary Value Problems, Dynamic Models, Electrical Resistivity, Equations Of Motion, Magnetic Field Configurations, Magnetohydrodynamic Flow, Space Environment Simulation, Steady State, Two Dimensional Models, Velocity Distribution

Scientific paper

The present work was motivated by Faelthammar's (1961) experiment in which an attempt was made at laboratory simulation of a star and its surrounding plasma. In this paper, the behavior of a rotating magnetized body immersed in an incompressible electrically conducting fluid is analyzed to check the validity of the assumption that poloidal fluid velocity may be neglected in the presence of toroidal fluid velocity. The steady-state equations of the problem are obtained, and it is shown that the nature of the velocity profile is determined by the boundary conditions and the Hartmann number. The importance of boundary conditions is illustrated with a simplified two-dimensional model, and the condition is identified which must hold for the law of isorotation to be obeyed. Time-dependent equations are obtained which indicate that only applied poloidal magnetic fields need be considered in laboratory experiments. Faelthammar's results are reviewed along with the results of a similar experiment by Heiser and Shercliff (1965). It is concluded that the present theory demonstrated the correctness of the basic ideas behind Faelthammar's experiment.

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