On the magnetohydrodynamics of a conducting fluid between two flat plates

Details On the magnetohydrodynamics of a conducting fluid between two flat plates On the magnetohydrodynamics of a conducting fluid between two flat plates

Aug 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phpl....6.3030b&link_type=abstract

Physics of Plasmas, Volume 6, Issue 8, pp. 3030-3046 (1999).

Physics

2

Plasma Dynamics And Flow, Electrostatic Waves And Oscillations, Magnetohydrodynamics And Plasmas, Solar Interior

Scientific paper

The time-dependent flow of a viscous, electrically conducting fluid contained within the space between two parallel, semi-infinite, perfectly conducting plates is considered. A uniform magnetic field directed perpendicular to the plate surfaces is assumed to pervade the fluid. Oscillatory motion of one of the plates in its own plane is induced through the application of a prescribed acceleration, the magnitude and direction of which vary sinusoidally in time. For a system forced in this manner, the resulting flow and transverse field component are solved for, as well as for the motion of the plate as a function of time. The magnetic and viscous stresses exerted on the boundary plate by the contiguous field and fluid are explicitly incorporated into the treatment of its motion. The physical properties and behavior of this system are investigated by examining analytic and numerical solutions obtained for a range of forcing periods, Reynolds numbers, and plate mass column densities. The relevance of these results to the interpretation of a model for Alfvénic torsional oscillations in the solar interior are discussed.

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