THE NON-UNIFORM EXPANSION OF A CYLINDRICAL OR SPHERICAL PLASMA INTO AN IONIZED ATMOSPHERE IN A WEAK MAGNETIC FIELD. Chap. 4 of THEORETICAL STUDY OF HYDROMAGNETIC STABILITY AND TURBULENCE. INVESTIGATIONS AND DETAILED RESULTS. Annual Report, Period: January 1-December 31, 1961
Technical Report
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OSTI ID:4825688
A solution is obtained for the non-uniform expansion of a plasma bubble into a weak uniform external hydromagnetic medium containing a small magnetic field. A perturbed method is employed wherein the effects of the magnetic field and piston deceleration are considered to be small perturbations about the hydrodynamic solution of Taylor. The solution presented considers these effects to first order. It is shown that the shock shape remains spherical and that deviations from sphericity are introduced, initially, only to second order in the parameter of smallness where a coupling between the magnetic field and the bubble deceleration exists. Calculations are performed for both accelerating and decelerating bubbles. In both cases it is shown that the time rate of change of the shock for a given specific heat ratio and ambient sound speed is negligible. That is, for small times the shock propagates at practically uniform spced independent of bubble deceleration. The analysis is related to the snowplow solution. The velocities and positions of the bubble and shock are determined. (auth)
- Research Organization:
- Radio Corp. of America. Missile and Surface Radar Div., Moorestown, N.J.
- NSA Number:
- NSA-16-022714
- OSTI ID:
- 4825688
- Report Number(s):
- AFSWC-TDR-62-12(Vol.II)(Chap.4
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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