Hydromagnetic Ionizing Waves


Book Description

A theory of hydromagnetic ionizing waves has been developed which is valid in the region in which gas pressure is negligible, compared with magnetic pressure. The theory takes into account the energy expended in partial ionization of the gas behind the wave. The usual high conductivity boundary condition behind the wave is not employed. The electric field in front of the wave is taken as a parameter. Results of this theory are compared with available experimental measurements, and show good agreement. (Author).




Hydromagnetic Ionizing Waves


Book Description

ABS>It is possible to generate plasma by passing a discharge between electrodes arranged such that the current is forced to flow across an initial strong magnetic field. The magnetic induction due to the discharge causes a bending of the original field. If the discharge is operated with a lowimpedance current source, electric breakdown starts in a limited region near the current- input connections and propagates as a well-defined front in the manner of a hydromagnetic shock wave. Such a shock is usually compressive, i.e. the sudden increase in temperature and ionization is usually accompanied by an abrupt onset of both transverse and longitudinal components of plasma flow. Consequently the front must be followed by a rarefaction wave in which the longitudinal flow is brought to rest. This phenomenon is analyzed as a one-dimensional single-fluid hydromagnetic problem, neglecting dissipation behind the wave. The assumptions are made of zero conductivity in front and thermodynamic equilibrium behind the wave. In the limit of essentially complete ionization behind the front, the problem can be solved analytically if the transverse magnetic field there remains small compared with the longitudinal field. In this case, the front velocity, plasma temperature and density, and the electric field behind the wave, as well as the structure of the rarefaction wave, can be ex pressed as simple functions of the initial magnetic field, the discharge current, the ionization energy, snd the initial gas density. Over a certain range of operating conditions, the electric field is relatively independent of the driving current and is primarily determined by the ionization energy per unit mass of the gas. Conditions are derived for noncompressive waves, hence also for production of uniform plasma. (auth).




Hydromagnetic Ionizing Waves


Book Description

A theory of hydromagnetic ionizing waves has been developed which is valid in the region in which gas pressure is negligible, compared with magnetic pressure. The theory takes into account the energy expended in partial ionization of the gas behind the wave. The usual high conductivity boundary condition behind the wave is not employed. The electric field in front of the wave is taken as a parameter. Results of this theory are compared with available experimental measurements, and show good agreement. (Author).




Effects of Partial Ionization and Pressure on Hydromagnetic Ionizing Waves


Book Description

The transverse hydromagnetic ionizing wave is studied theoretically without the assumption of infinite conductivity behind the wave. Finite gas pressures are included, as well as a variable degree of ionization behind the wave. The electric field in front of the wave is employed as a parameter. Jump conditions across the wave are solved. It is shown that finite pressure and variation of the degree of ionization are important in some regions. (Author).




Study of the Interaction of Electromagnetic Radiation and Hydromagnetic Waves and Shocks in an Ionized Medium


Book Description

A review of the classical Bailey-Martyn theory of cross modulation (Luxembourg effect) is given. A theory is developed for electromagnetic waves in a plasma leading to a dispersion relation that depends explicitly on the velocity-distribution function f(q, t) of the electrons. The complex index of refraction is determined by the isotropic part, of, f, and a formula for the time independent part of f is derived. The time dependent part of the function is reduced to a problem of determining the solution of a pair of simultaneous second order differential equations. Next follows a detailed discussion of the coupled pair of (quasi hypergeometric) differential equations. The magnetohydrodynamic interaction of a partially ionized gas with electromagnetic waves is considered and the resulting dispersion relation illustrates the coupling between mechanical and electromagnetic waves. (Author).







Self-Consistent Effects of Magnetospheric Hydromagnetic Waves on Ring Current Ions


Book Description

The objective of this research in magnetospheric physics was to advance understanding of the interaction of ring current ions with magnetospheric hydromagnetic waves. The goal was to examine the excitation of westward propagating hydromagnetic waves by drift-bounce resonance with 100 to 200 MeV ring current protons using a 3D MHD code in dipole geometry which incorporates the ring current ions via a gyrokinetic treatment. This was the first self-consistent study of this phenomenon. An extension of the ring current particle trajectory tracing code, developed with Air Force support, was used to study the rapid formation of new electron and proton radiation belts. The model has been highly successful at explaining the observed acceleration of electrons and protons by tens of MeV in less than a drift period.




Effects of Partial Ionization and Pressure on Hydromagnetic Ionizing Waves


Book Description

The transverse hydromagnetic ionizing wave is studied theoretically without the assumption of infinite conductivity behind the wave. Finite gas pressures are included, as well as a variable degree of ionization behind the wave. The electric field in front of the wave is employed as a parameter. Jump conditions across the wave are solved. It is shown that finite pressure and variation of the degree of ionization are important in some regions. (Author)