STABILITY OF A CYLINDRICAL DEBRIS INTERFACE UNDER OSCILLATORY MOTION. Chap. 9 of THEORETICAL STUDY OF HYDROMAGNETIC STABILITY AND TURBULENCE. INVESTIGATIONS AND DETAILED RESULTS. Annual Report, Period: January 1-December 31, 1961
Technical Report
·
OSTI ID:4835809
The Taylor instability of an infinitely long cylinder pulsating radially against a uniform axial field is investigated. This model represents the bubble prolate shape in the late expansion period where it is assumed that the debris plasma is an incompressible ideal hydromagnetic fluid. The prescribed radial oscillations of the cylinder are achieved mathematically by a suitable variation of a line source located along the axis. The stability equation is of a Hill type with time-dependent coefficients which are given by Bessel functions of imaginary argument. Certain limiting forms of this equation are considered and the stability of the general case is studied using Floquet theory. Regions of stability are computed and found to depend on perturba tion wave numbers, bubble oscillatory amplitude, frequency and mean radius. For the range of parameters investigated, wide regions of instubility are found indicating probable break-up of the oscillating cylinder. (auth)
- Research Organization:
- Radio Corp. of America. Missile and Surface Radar Div., Moorestown, N.J.
- NSA Number:
- NSA-16-022719
- OSTI ID:
- 4835809
- Report Number(s):
- AFSWC-TDR-62-12(Vol.II)(Chap.9
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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