|makhinicc2006p3083.pdf||2006-03-13 17:36:49||Volodymyr Makhin|
Numerical modeling of a magnetic flux compression experiment
Author: Volodymyr Makhin
Submitted: 2005-12-21 23:33:08
Co-authors: B.S. Bauer, T.J. Awe, S. Fuelling, T. Goodrich, I.R. Lindemuth, R.E. Siemon, S. Garanin
University of Nevada, Reno
1664 N. Virginia
Reno, NV 89557
A possible plasma target for Magnetized Target
Fusion is a stable diffuse z pinch  like that
of the MAGO experiments at VNIIEF . The
diffuse z pinch plasma resides in a toroidal
cavity, eg., between two cylindrical walls with
end planes. A magnetic flux compression
experiment is planned for this geometry as
described in the adjacent poster. Even without
injection of plasma, high-Z wall plasma is
generated by eddy-current Ohmic heating from MG
fields, as described recently by Garanin .
Results from numerical models show that the
energy lost to Ohmic heating is a significant
fraction of the available liner kinetic energy.
Another significant inefficiency results from
energy that goes into compression of liner and
hard-core material according to the
high-pressure equation of state for aluminum (or
any metal). Despite these realistic losses,
efficiency of liner compression expressed as
compressed magnetic energy relative to liner
kinetic energy can be close to 50%. Modeling
also indicates that m=3D0 perturbations
resulting from the Rayleigh-Taylor instability
during deceleration of the liner are acceptably
small if the initial perturbation level of
density in the liner is around 1%. This will be
an important aspect to check experimentally. The
flux compression experiment is modeled with
three codes: a) a semi-analytic ODE
incompressible liner model, b) the Los Alamos
RAVEN 1D Lagrangian code, and c) the Los Alamos
1D or 2D MHRDR Eulerian MHD simulation.
*Work supported by DOE OFES grant DE-FG02-04ER54752
1. R.E. Siemon, et al., Stability analysis
and numerical simulation of a hard-core diffuse
z pinch during compression with Atlas facility
liner parameters, Nuclear Fusion 45, 1148
2. S.F. Garanin, The MAGO system, IEEE
Trans. Plasma Sci. 26, 1230, (1998). I.R.
Lindemuth et al., Target plasma formation for
Magnetic Compression/Magnetized Target Fusion
(MAGO/MTF), Phys. Rev. Lett. 75, 1953 (1995).
3. S.F. Garanin, G.G. Ivanova, D.V. Karmishin,
and V.N. Sofronov, Diffusion of a megagauss
field into a metal, J. Appl. Mech. Tech.
Phys. 46, 153, (2005).
Please include in session with Fuelling and Awe.