DISCONTINUOUS MAGNETOFLUIDYNAMICS. A) A SIMPLE LIQUID SIMULATION.
Abstract
The flow of a free-surface liquid conductor in a magnetic field is studied in trying to simulate plasma flows by a 'mercury table', similar to the 'hydraulic table' analogy of gasdynamics; the gas density is analogous to the height of the liquid, and pressure waves and shocks are represented by waves and jumps on the free-surface of the liquid. A radial motion in a shallow liquid conductor, induced by a time varying, spacially homogeneous transverse magnetic field is described. This is qualitatively similar to the result of a time varying magnetic field in a theta-pinch configuration. The flow equations are written in the hydraulic approximation, with two terms added by the electromagnetic interaction: a 'forcing term' producing the motion, and a 'friction' term due to the motion-induced field. The equations were linearized and solved by three independent methods: (1) separation of variables (2) matching series expansions near the boundaries at the appropriate characteristics, where discontinuities in higher derivatives of the dependent variables (i.e. velocity and height) of the liquid, occur (3) a finite-difference integration scheme. The last method is then extended to the non-linear case. The results are used to explain preliminary experiments with mercury and a new experimental set up is pointed out. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1968
- Accession Number
- AD0676058
Entities
People
- Nima Geffen
Organizations
- Technion – Israel Institute of Technology