Self-similar implosion of shells
Abstract
It is shown that an infinite family of self-similar solutions to the problem of isentropic compression of an ideal gas shell can be readily adapted from the existing literature. The concept of a self-similar solution is defined, and computations are discussed which show that the flow from a shell becomes self-similar only in the last stages of compression, as the internal energy overtakes the kinetic energy of inward motion. It is concluded that self-similar solutions provide an adequate description of shell implosion near the void-closure time.
- Publication:
-
Nuclear Fusion
- Pub Date:
- February 1977
- Bibcode:
- 1977NucFu..17..135F
- Keywords:
-
- Ideal Gas;
- Implosions;
- Laser Fusion;
- Plasma Control;
- Similarity Theorem;
- Thin Walled Shells;
- Aspect Ratio;
- Compressing;
- Controlled Fusion;
- Differential Equations;
- Internal Energy;
- Isentropic Processes;
- Kinetic Energy;
- Temperature Profiles;
- Plasma Physics