SUPERSONIC FLOW OF INVISCID COMPRESSIBLE PLASMAS WITH A FINITE TENSOR CONDUCTIVITY IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD.
TORONTO UNIV (ONTARIO) INST FOR AEROSPACE STUDIES
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A method of determining the macroscopic interaction between the motion of a compressible plasma and electromagnetic fields was developed. The plasma is considered as an electrically conducting fluid with finite conductivity. The viscosity and heat conduction are neglected. The effects of Hall current and ion slip are considered. Since in general insulated walls may be present to influence the Hall current distribution, charge separation occurs and an electric field is necessary to satisfy the continuity equation for the electric current and the boundary conditions. This electric field was taken into account. The flow under consideration is supersonic and for the practical calculations cases are selected in which a finite expansion around a sharp corner is present. Cases are considered in which the magnetic Reynolds number, although small, cannot be assumed to be zero. The procedure used is based upon a method of successive approximations and is capable of giving solutions for the effect of the induced magnetic field. Numerical computations were made for both two-dimensional and axisymmetric models for cases in which the flow first expands around a sharp corner, then flows through a divergent duct with insulated walls. The applied magnetic field is parallel to the undisturbed upstream flow direction. Author
- Plasma Physics and Magnetohydrodynamics