THE INFLUENCE OF HALL CURRENTS DURING ACCELERATION OF A CONDUCTING GAS IN ITS INTRINSIC MAGNETIC FIELD (O VLIYANII TOKOV KHOLLA PRI USKORENII PROVODYASHCHEGO GAZA V SOBSTVENNOM MAGNITNOM POLE),
Abstract
The effect of Hall currents in the magnetic fields induced by the currents flowing in the plasma is studied theoretically in regard to their relation to plasma acceleration mechanisms. Magnetohydrodynamic equations and a generalized Ohm's law are used to obtain the solution for the flow distribution in a plasma subject to the existence of large velocities (10 to the 7th power cm/sec) so that pressure gradients can be neglected. It is assumed that no external magnetic fields and no electric fields along the length of the channel exist in the flow. The conductivity is assumed to remain constant and the product of cyclotron and collision frequencies, k, is constant. The solution is obtained by expressing the dependent variables in powers of k and all k sq and higher power terms are neglected. The system of equations for the first order quantities is solved by quadratures for known zero order values. The flow distribution is examined in greater detail in the core of the flow and the solution for some initial and boundary conditions is given. A comparison with a previous study shows that the effect of the Hall currents is similar to that for the case with an external magnetic field. Small asymmetry relative to the axis of the channel develops when only a self-induced magnetic field is present. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 04, 1967
- Accession Number
- AD0673804
Entities
People
- G. M. Bam-zelikovich
Organizations
- National Air and Space Intelligence Center