ON THE STRUCTURE OF HYDROMAGNETIC SHOCK WAVES WITH TRANSVERSE FIELD AND VISCOUS DISSIPATION

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Nucl. Fusion, Suppl.

OSTI ID:4718258

Geiger, W; Kaeppeler, H J; Mayser, B

The problem of hydromagnetic shock waves has recently received increasing interest in connection with experiments carried out to obtain extremely high temperatures for fusion processes. In such experiments a tendency toward appreciable densities (obtained, e.g., by magnetic compression) becomes noticeable. Theories of hydromagnetic shock structure available at present either neglect the inertial term in the differential equation for the magnetic field if dissipation processes are considered, or if the rigorous equntions for the magnetic field are used, a collision-free plasma is considered. This paper deals with a study of the effect of viscous dissipation in the rigorous hydromagnetic shock structure equations for the purpose of deriving a theory applicable to relatively high densities. First, the shock structure for a pure hydromagnetic case (neglecting viscosity but considering ohmic resistance as a damping mechanism) is considered in some detnil. A stability investigations is carried out and it is shown that there exist two regimes for the shock transition, one characterized by an oscillatory transition, the other by an aperiodic damped transition. Considering viscosity, the range for which this dissipation mechanism becomes appreciable is determined. It can furthermore be shown that whereas solutions for Mach numbers M < l behind the shock do not exist for the collision-free hydromagnetic case, the inclusion of viscous dissipntion in the NavierStokes approximation indicates the possibility for such solutions. (auth)

• Research Organization: Technische Hochschule, Stuttgart
• NSA Number: NSA-17-009723
• OSTI ID: 4718258
• Journal Information: Nucl. Fusion, Suppl., Journal Name: Nucl. Fusion, Suppl.
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFINEMENT
DENSITY
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
HEAT TRANSFER
HEATING
HYDROMAGNETIC WAVES
INTERACTIONS
LOSSES
MAGNETIC COMPRESSION
MAGNETIC FIELDS
MAGNETIC MIRRORS
MAGNETOHYDRODYNAMICS
NAVIER- STOKES EQUATIONS
OSCILLATIONS
PHYSICS
PLASMA
SHOCK WAVES
STABILITY
THERMONUCLEAR REACTIONS
VELOCITY
VISCOSITY