Self-similar cumulative plasma flows
Abstract
One of the basic theoretical problems arising in thermonuclear synthesis is the study of the dynamics of plasma heating and compression. In addition to solutions by numerical methods, important information can be obtained from an analysis of exact particular solutions of the hydrodynamics equations describing the compression processes. In the present paper, new similar solutions are obtained to the following two problems: the compression of a void or gas-filled shell; and the compression of an initially homogeneous plasma cylinder or plasma sphere. The solutions are obtained by reducing the system of hydrodynamics equations to a single ordinary first-order differential equation.
- Publication:
-
Pisma v Zhurnal Tekhnischeskoi Fiziki
- Pub Date:
- November 1977
- Bibcode:
- 1977PZhTF...3.1112I
- Keywords:
-
- Controlled Fusion;
- Inertial Fusion (Reactor);
- Lagrange Similarity Hypothesis;
- Magnetohydrodynamic Flow;
- Plasma Heating;
- Compression Waves;
- Detonation Waves;
- Differential Equations;
- Inertia;
- Isentropic Processes;
- Laser Plasma Interactions;
- Plasma Cylinders;
- Plasma Pinch;
- Shock Waves;
- Symmetry;
- Thermonuclear Reactions;
- Voids;
- Plasma Physics