Abstract
The unsteady hydromagnetic flow of a one-fluid plasma confined between two infinitely large and infinitely separated magnetic pole-pieces in investigated. The resistive and ion-cyclotron terms are retained in the governing equations. The time-dependent motion is set up by the impulsive change in velocity of one of the pole-pieces. By means of Laplace transform technique, a solution is obtained which provides the smooth transition from zero to infinite conductivity of the plasma in addition to the effects of viscosity and the Hall current. The resulting two-dimensional flow is found to be permeated by hydromagnetic waves generated by the interaction of the skin-effect, Alfven propagation and ion-cyclotron gyration. At the stages of motion the shearing stress at the pole-piece is found to be oscillatory.
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