On the stability of shock waves in a continuous medium with a space charge

1998 ◽  
Vol 39 (2) ◽  
pp. 184-193 ◽  
Author(s):  
A. M. Blokhin ◽  
Yu. L. Trakhinin ◽  
I. Z. Merazhov
Keyword(s):  
Shock Waves ◽  
Space Charge ◽  
Continuous Medium ◽  
The Stability

scholarly journals Equation of state studies at SILP by laser-driven shock waves

1996 ◽  
Vol 14 (2) ◽  
pp. 157-169 ◽  
Author(s):  
Yuan Gu ◽  
Sizu Fu ◽  
Jiang Wu ◽  
Songyu Yu ◽  
Yuanlong Ni ◽  
...  
Keyword(s):  
Shock Wave ◽  
High Pressure ◽  
Equation Of State ◽  
Shock Waves ◽  
Target Surface ◽  
Shock Adiabats ◽  
Pressure Shock ◽  
Aluminum Target ◽  
Laser Illumination ◽  
The Stability

The experimental progress of laser equation of state (EOS) studies at Shanghai Institute of Laser Plasma (SILP) is discussed in this paper. With a unique focal system, the uniformity of the laser illumination on the target surface is improved and a laser-driven shock wave with good spatial planarity is obtained. With an inclined aluminum target plane, the stability of shock waves are studied, and the corresponding thickness range of the target of laser-driven shock waves propagating steadily are given. The shock adiabats of Cu, Fe, SiO2 are experimentally measured. The pressure in the material is heightened remarkably with the flyer increasing pressure, and the effect of the increasing pressure is observed. Also, the high-pressure shock wave is produced and recorded in the experimentation of indirect laser-driven shock waves with the hohlraum target.

The analysis of the stability of shock waves

1990 ◽  
Vol 54 (5) ◽  
pp. 725-726
Author(s):  
A.A. Barmin ◽  
M.V. Shchelkachev
Keyword(s):  
Shock Waves ◽  
The Stability

Magneto-gasdynamic flow over a wedge

1966 ◽  
Vol 25 (1) ◽  
pp. 165-178 ◽  
Author(s):  
D. C. Pack ◽  
G. W. Swan
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Shock Waves ◽  
Wave Pattern ◽  
Ionized Gas ◽  
Current Sheets ◽  
Gasdynamic Flow ◽  
The Stability ◽  
The Magnetic Field ◽  
Insight Into

The solution for the flow of a fully ionized gas over a wedge of finite angle is known for the case when the applied magnetic field is aligned with the incident stream. In this flow there are current sheets on the surfaces of the wedge. When the magnetic field is allowed to deviate slightly from the stream, the current sheets may move into the gas and become shock waves. The magnetic fields adjacent to the wedge above and below it have to be matched. A perturbation method is introduced by means of which expressions for the unknown quantities in the different regions may be determined when there are four shocks attached to the wedge. The results give insight into the manner in which the shock-wave pattern develops as the obliquity of the magnetic field to the stream increases. The question of the stability of the shock waves is also examined.

On the stability of stationary shock waves in nozzle flows with homogeneous condensation

2001 ◽  
Vol 13 (9) ◽  
pp. 2706-2719 ◽  
Author(s):  
C. F. Delale ◽  
G. Lamanna ◽  
M. E. H. van Dongen
Keyword(s):  
Shock Waves ◽  
Stationary Shock ◽  
Homogeneous Condensation ◽  
The Stability ◽  
Nozzle Flows

Effect of space charge on the stability of betatron oscillations in circular accelerators

1970 ◽  
Vol 29 (5) ◽  
pp. 1095-1099
Author(s):  
A. A. Kolomenskii ◽  
A. T. Polukhin
Keyword(s):  
Space Charge ◽  
The Stability ◽  
Circular Accelerators

On the stability of plane shock waves

1957 ◽  
Vol 2 (4) ◽  
pp. 397-411 ◽  
Author(s):  
N. C. Freeman
Keyword(s):  
Shock Wave ◽  
Mach Number ◽  
Shock Waves ◽  
Plane Shock ◽  
Two Dimensional ◽  
Small Perturbations ◽  
Diverging Channel ◽  
Maximum Stability ◽  
The Stability ◽  
Fourier Type

The decay of small perturbations on a plane shock wave propagating along a two-dimensional channel into a fluid at rest is investigated mathematically. The perturbations arise from small departures of the walls from uniform parallel shape or, physically, by placing small obstacles on the otherwise plane parallel walls. An expression for the pressure on a shock wave entering a uniformly, but slowly, diverging channel already exists (given by Chester 1953) as a deduction from the Lighthill (1949) linearized small disturbance theory of flow behind nearly plane shock waves. Using this result, an expression for the pressure distribution produced by the obstacles upon the shock wave is built up as an integral of Fourier type. From this, the shock shape, ξ, is deduced and the decay of the perturbations obtained from an expansion (valid after the disturbances have been reflected many times between the walls) for ξ in descending power of the distance, ζ, travelled by the shock wave. It is shown that the stability properties of the shock wave are qualitatively similar to those discussed in a previous paper (Freeman 1955); the perturbations dying out in an oscillatory manner like ζ−3/2. As before, a Mach number of maximum stability (1·15) exists, the disturbances to the shock wave decaying most rapidly at this Mach number. A modified, but more complicated, expansion for the perturbations, for use when the shock wave Mach number is large, is given in §4.In particular, the results are derived for the case of symmetrical ‘roof top’ obstacles. These predictions are compared with data obtained from experiments with similar obstacles on the walls of a shock tube.

A comparison of injection laws for the space charge equations in gases and dielectrics

1993 ◽  
Vol 443 (1919) ◽  
pp. 517-546 ◽  
Keyword(s):  
Electric Field ◽  
Space Charge ◽  
Field Distribution ◽  
Steady Motion ◽  
Plane Geometry ◽  
Symmetric Problem ◽  
Injection Process ◽  
Underlying Geometry ◽  
Current Characteristics ◽  
The Stability

We consider the steady motion of space charge from an injecting electrode to an earthed electrode in both a gas and a dielectric. Three models governing the process of charge injection from the electrode into the medium are compared and the resulting voltage–current characteristics calculated. In particular we examine injection laws in which the electric field, charge or current are specified. It is shown that if the injecting electrode is small in comparison to the underlying geometry then the resulting field distribution is almost independent of the injection process. The stability of the three models is compared and it is shown that the field specified and charge specified models are always stable. The calculations are performed exactly for the case of a symmetric problem and make use of the Deutsch approximation for a needle-plane geometry.

The stability of shock waves in ionizing and dissociating gases

1976 ◽  
Vol 9 (12) ◽  
pp. 1681-1691 ◽  
Author(s):  
R W Griffiths ◽  
R J Sandeman ◽  
H G Hornung
Keyword(s):  
Shock Waves ◽  
The Stability
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