Discontinuous Magnetofluidynamic Flows.

Abstract

The report includes three parts: a closed form, sharp estimate for the breakdown of an initially smooth one-dimensional, time-dependent flow with various applications; a way to find where and when shocks appear in multi-dimensional flows; an analysis of a magnetohydraulic analogy to plasma flow where the dependence of the breakdown point on the physical parameters is given as well as a family of similarity solutions of the flow equations formulated in lagrangian coordinates. The report is organized in three self-consistent parts, leading from a mathematical analysis of two independent variables (e.g., one spatial coordinate and time) through many variables (e.g., two and three space dimensions and time) to an application and further analysis and calculation of a specific axial magnetohydraulic flow simulating various aspects of plasma flows of possible use in technological applications.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0769700

Entities

People

  • Eliezer Hameiri
  • Levi Lustman
  • Nima Geffen
  • Shmuel Libai

Organizations

  • Tel Aviv University

Tags

DTIC Thesaurus Topics

  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Pulsed Power and Plasma Physics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster