Analytical solutions of the problem of violent explosions in a plasma of varying density
Abstract
Analytical solutions of the nonlinear problem of violent explosions in a plasma of varying density under power law have been obtained. A critical law for a medium of decreasing density from the source of explosion is determined for which the problem admits a very simple solution but beyond this critical line analytical solutions admit another discontinuity automatically occurring inside a blast wave region. It is assumed that a disturbance caused by violent explosion due to sudden release of immense amount of energy is expanding very rapidly and is headed by a strong MHD shock wave. It is found that the discontinuity appearing inside a blast wave region causes a violation of continuum theory in the physical plane and consequently a cavity is formed. Analytical solutions predict that just before a discontinuity appears, the gas pressure falls to zero and the solution breaks down and can not be extended further.
- Publication:
-
Acta Mechanica
- Pub Date:
- 1981
- Bibcode:
- 1981AcMec..40...75R
- Keywords:
-
- Gas Explosions;
- Magnetohydrodynamic Flow;
- Plasma Density;
- Plasma Waves;
- Shock Discontinuity;
- Shock Wave Propagation;
- Boundary Value Problems;
- Cavities;
- Density Distribution;
- Flow Distribution;
- Gas Pressure;
- Magnetic Field Configurations;
- Plasma Pinch;
- Pressure Distribution;
- Pressure Reduction;
- Velocity Distribution;
- Plasma Physics