Discountinuous Magnetcfluidynamic Flows. Nonlinear Liquid Simulation, Formation of Shocks.
Abstract
The radial motion of a free-surface liquid conductor, in a cylindrical container, induced by a time-varying, spacially homogeneous transverse magnetic field is described. This situation is somewhat analogous to a plasma pinch. The hydraulic (or shallow liquid) approximation is used, where forcing and friction terms are added by the electromagnetic interaction, to the quasi-linear hyperbolic differential operator occuring in the non-magnetic case. The equations are analysed, then integrated by two independent methods: a rectangular finite differences mesh, and a characteristics mesh. The results are compared for efficiency and information yielded. In addition, a similarity solution is found for the initial characteristic triangle and the breakdown of the continuous solution, and the formation of jump (or shock) is estimated a-priori semi-analytically. Results for one set of the physical variables are presented. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1970
- Accession Number
- AD0729943
Entities
People
- Nima Geffen
Organizations
- Tel Aviv University