Instability of spherically imploding shock waves

Book · Sun Dec 31 04:00:00 EST 1995

OSTI ID:178233

Chen, H; Hilko, B; Zhang, L; Panarella, E ^[1]

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1. Advanced Laser and Fusion Technology, Inc., Hull, Quebec (Canada)

The importance of spherically imploding shock waves has increased recently due to their particular applications in inertial confinement fusion (ICF) and the Spherical Pinch (SP). In particular, the stability of spherically imploding shock waves plays a critical role in the ultimate success of ICF and SP. The instability of spherically imploding shock waves is now systematically investigated. The basic state is Guderley and Landau`s unsteady self-similar solution of the implosion of a spherical shock wave. The stability analysis is conducted by combining Chandresakhar`s approach to the stability of spherical flames together. The governing equations for disturbances are derived and they use the condition that perturbed gas flow is potential. The three dimensional perturbation velocity profile and a shock front perturbation are solved by using the kinematic and dynamic boundary conditions in the shock front. The time-dependent amplitudes of the perturbations are obtained by solving the system of ordinary differential equations. This enables them to study the time history of the spherically imploding shock wave subject to perturbations. The relative amplification and decay of the amplitudes of perturbations decides the stability/instability of the spherical imploding shock waves. Preliminary results are presented.

• OSTI ID: 178233
• Report Number(s): CONF-950612--; ISBN 0-7803-2669-5
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ICF DEVICES
IMPLOSIONS
PINCH DEVICES
PLASMA SIMULATION
SHOCK WAVES
SPHERICAL CONFIGURATION
STABILITY
THEORETICAL DATA
TIME DEPENDENCE