Exact self-similar solutions for the magnetized Noh Z pinch problem

2012 ◽  
Vol 19 (1) ◽  
pp. 012707 ◽  
Author(s):  
A. L. Velikovich ◽  
J. L. Giuliani ◽  
S. T. Zalesak ◽  
J. W. Thornhill ◽  
T. A. Gardiner
Keyword(s):  
Self Similar ◽  
Similar Solutions ◽  
Z Pinch

MHD Stability of Self-Similar Solutions to a Dynamic Z-Pinch

1994 ◽  
Author(s):  
P. Jaitly ◽  
M. Coppins ◽  
Malcolm Haines ◽  
Andrew Knight
Keyword(s):  
Mhd Stability ◽  
Self Similar ◽  
Similar Solutions ◽  
Z Pinch

Annular self-similar solutions in ideal magnetogasdynamics

2008 ◽  
Vol 74 (4) ◽  
pp. 531-554 ◽  
Author(s):  
R. M. LOCK ◽  
A. J. MESTEL
Keyword(s):  
Magnetic Field ◽  
Initial Value Problem ◽  
Numerical Solutions ◽  
Initial Conditions ◽  
The Self ◽  
Initial Value ◽  
Azimuthal Magnetic Field ◽  
Self Similar ◽  
Similar Solutions ◽  
Z Pinch

AbstractWe consider the possibility of self-similar solutions describing the implosion of hollow cylindrical annuli driven by an azimuthal magnetic field, in essence a self-similar imploding liner z-pinch. We construct such solutions for gasdynamics, for ideal ‘β=0’ plasma and for ideal magnetogasdynamics (MGD). In the latter two cases some quantities are singular at the annular boundaries. Numerical solutions of the full ideal MGD initial value problem indicate that the self-similar solutions are not attractive for arbitrary initial conditions, possibly as a result of flux-freezing.

scholarly journals Self-similar solutions of screw-pinch plasma implosion

1990 ◽  
Vol 8 (3) ◽  
pp. 485-491
Author(s):  
W. H. Choe ◽  
R. C. Venkatesan
Keyword(s):  
Pinch Plasma ◽  
Self Similar ◽  
Similar Solutions ◽  
Z Pinch

A self-similar analysis of supersonic compression of a “screw-pinch” plasma is carried out that generalizes earlier analyses of pure θ-pinch and Z-pinch implosions. Solutions are found for various implosion modes. It is shown that the screw-pinch plasma implosion differs qualitatively from θ-pinch and Z-pinch implosions.

Self-similar solutions for imploding z-pinch shells in magnetized plasmas

2009 ◽  
Vol 75 (3) ◽  
pp. 373-387 ◽  
Author(s):  
Y. M. SHTEMLER ◽  
M. MOND
Keyword(s):  
Thermal Conductivity ◽  
Cylindrical Symmetry ◽  
High Thermal Conductivity ◽  
Magnetized Plasmas ◽  
Time Space ◽  
Self Similar ◽  
Radiation Processes ◽  
Similar Solutions ◽  
Z Pinch

AbstractImploding z-pinch shells with total currents that are proportional to some power of time are investigated. Time-space separable self-similar solutions with cylindrical symmetry are explicitly obtained. The problem is treated asymptotically in high thermal conductivity within the model of magnetized resistive plasmas, while the ionization and radiation processes are ignored.

On self-similar motions in Z-pinch dynamics

1989 ◽  
Vol 42 (2) ◽  
pp. 205-213 ◽  
Author(s):  
A. B. Bud'ko ◽  
M. A. Liberman
Keyword(s):  
Plasma Heating ◽  
Analytic Form ◽  
The Self ◽  
Mhd Equations ◽  
Plasma Expansion ◽  
Self Similar ◽  
Simple Analytic Form ◽  
Similar Solutions ◽  
Z Pinch ◽  
Density Plasma

New self-similar solutions of the MHD equations for the dynamics of a high-density plasma in a linear Z-pinch are derived, taking into account the finite electric conductivity of the plasma. In a number of particular cases the self-similar solutions obtained are expressed in simple analytic form. Radial distributions of the MHD variables in the self-similar profiles show that during current heating and plasma expansion regimes with essential plasma heating on the pinch boundary are possible both with decrease and concentration of the current density on the outer pinch boundary.

scholarly journals A laser experiment for studying radiative shocks in astrophysics

2002 ◽  
Vol 20 (2) ◽  
pp. 263-268 ◽  
Author(s):  
X. FLEURY ◽  
S. BOUQUET ◽  
C. STEHLÉ ◽  
M. KOENIG ◽  
D. BATANI ◽  
...  
Keyword(s):  
Laser Pulse ◽  
Pulse Duration ◽  
Experimental Results ◽  
Laboratory Astrophysics ◽  
Laser Pulse Duration ◽  
Radiative Shocks ◽  
Self Similar ◽  
Laser Experiment ◽  
Similar Solutions

In this article, we present a laboratory astrophysics experiment on radiative shocks and its interpretation using simple modelization. The experiment is performed with a 100-J laser (pulse duration of about 0.5 ns) which irradiates a 1-mm3 xenon gas-filled cell. Descriptions of both the experiment and the associated diagnostics are given. The apparition of a radiation precursor in the unshocked material is evidenced from interferometry diagrams. A model including self-similar solutions and numerical ones is derived and fairly good agreements are obtained between the theoretical and the experimental results.

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