Unsteady small perturbations of plane flows of a highly conducting plasma in a channel
Abstract
The present paper analyzes, in a linear approximation, the unsteady magnetohydrodynamic perturbations of plane flows in a plasma subjected to a transverse magnetic field. An inviscid, nonheatconducting, quasineutral plasma in a channel with slowly varying cross section and containing sectional electrodes is considered. The Hall effect is taken into account. It is shown that the evolution of perturbations in the isomagnetic parameter (equal to the ratio of the magneticfield strength to the plasma density) comprises translation along the channel together with plasma flow, translation along unperturbed electron trajectories, and diffusion due to the finite plasma conductivity. The time for establishment of a steady flow is equal to the time required for the plasma to pass through the channel (the region occupied by the magnetic field).
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 February 1975
 Bibcode:
 1975PMTF........19S
 Keywords:

 Channel Flow;
 Magnetohydrodynamic Flow;
 Plasma Control;
 Small Perturbation Flow;
 Two Dimensional Flow;
 Differential Equations;
 Flow Equations;
 Hall Effect;
 Inviscid Flow;
 Linear Equations;
 Perturbation Theory;
 Unsteady Flow;
 Plasma Physics