Selfoscillating MHD flow in a channel in the presence of a transverse magnetic field
Abstract
The stability of a parallel flow between two planes in a constant external magnetic field directed along the flow velocity is studied. The nonlinear equations for disturbances are analyzed under the assumption of a small magnetic Reynolds number. The analysis of selfoscillations, which is based on series expansion in terms of a small parameter, assumes that the amplitude of oscillations is finite but sufficiently small. The results obtained make it possible to predict the stable selfoscillating regime of flow in the channel for Reynolds numbers exceeding the critical value in a linear theory and for Hartmann number greater than 15.5. Selfoscillation energy is calculated assuming sinusoidal oscillations.
 Publication:

Magnitnaia Gidrodinamika
 Pub Date:
 September 1975
 Bibcode:
 1975MagGi.......15L
 Keywords:

 Channel Flow;
 Flow Stability;
 Magnetohydrodynamic Flow;
 Parallel Flow;
 Self Oscillation;
 Hartmann Flow;
 Oscillating Flow;
 Reynolds Number;
 Small Perturbation Flow;
 Plasma Physics