| Recent Presentations:
2001
Reversed Field Pinch Workshop

A new experiment, funded
by the Department of Energy, grant DE-FG02-00ER54603
is being constructed to investigate "Stabilization
of Resistive Wall Modes Using Rotating Liquid Metal
Walls".
Summary:
This is a proposal to the Department
of Energy to construct and operate a modest experiment
to test the hypothesis that a flowing liquid metal shell
or first wall can stabilize magnetohydrodynamic instabilities
in a magnetic fusion energy reactor. The proposal has
two objectives:
(1) First, it will test the
hypothesis that a two conducting shell system, with
one shell rotating poloidally with respect to the other
stationary shell can stabilize the resistive wall mode.
(2) Second, it will evaluate
to what extent a flowing liquid metal wall behaves like
a moving solid conducting wall by replacing a
moving solid copper conducting shell used in (1) with
a flowing liquid sodium wall.
A crucial issue for the attractiveness
of a number of toroidal confinement concepts is the
ability to stabilizelong wavelength external kink modes.
The tokamak, ST and RFP configurations rely on the existence
of a perfectly conducting wall at the plasma boundary
to stabilize external MHD modes. Stabilization of the
beta-driven kink in advanced tokamaks allows one to
exceed the obtainable beta limits by a substantial fraction
over the beta limit of the no-wall configuration. This
leverage is amplified in ST configurations where the
presence of a perfectly conducting wall is predicted
to increase the beta limit by a factor of 2. In an RFP,
a number of external modes are predicted to be unstable
which makes the presence of a conducting wall a necessity
for stable operation.
While perfect conducting walls
can provide robust stabilization, a finite amount of
conductivity in the wall causes the stabilizing wall
eddy currents to decay away. On the resistive time scale
of the wall flux can leak through the wall and
provide a mechanism by which the plasma can access the
free-energy available to the external kink. This mode,
the resistive wall mode (RWM) grows on the wall time
scale. In the absence of plasma flows, if the plasma
is unstable without a wall, there will always be either
RWM or an external kink; the plasma is always unstable.
Theory suggests that if two conducting walls are used
and if one of the walls is moving with respect to the
other wall, the RWM can be stabilized.
Recently, there has been a resurgence
of interest in using a liquid lithium as a first wall
material in magnetic fusion devices. A flowing
liquid lithium first wall has the potential of not only
removing particles and heat from the reactor, but also
of stabilizing the RWM if used in conjunction with a
second conducting wall. Both of these conjectures need
testing. In the case of heat removal, it is not
clear that the thermal diffusivity of liquid lithium
is sufficiently high to remove power at achievable flow
velocities without excessive surface heating. In the
case of stabilization of MHD modes, it is not clear
that the turbulent flow is equivalent to a moving solid
conductor since eddies in the flow can potentially move
magnetic flux and result in an anomalously high resistivity.
We propose to investigate the
stabilization of the resistive wall mode using a flowing
liquid metal wall in a linear screw pinch geometry.
A linear geometry (as opposed to a toroidal geometry),
makes the experiment simpler and cheaper to build, and
makes it possible to begin with a moving conducting
wall constructed out of solid conductor, rather than
liquid sodium. The experiment will consist of
a 10 cm radius, 100 cm length plasma column in a 1 kG
solenoidal field. Up to 19 kA of plasma current will
be imposed by utilizing an array of 19 plasma guns developed
for helicity injection on MST. During the first
phase of the experiment, the cylindrical plasma column
will be surrounded by two close fitting, 1 to 2 mm thick,
cylindrical copper shells (the outer one which can be
spun in the poloidal direction at approximately 100
Hz (60 m/s), driven by motor).
During the second phase, the
outer conductor will be replaced by a flowing liquid
sodium wall (1 to 2 cm thick with flows of 20 m/s).
The liquid wall may act different from the solid wall
due to the presence of flow driven instabilities and
subsequent turbulence in the wall. These instabilities
may produce anomalous transport of current in the layer
which can ultimately affect the rotational stabilization
process. Demonstration of stabilization and comparison
between the flowing liquid metal and the moving solid
wall will be the two principal scientific outcomes of
this work.
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