The MHD
dynamo is a process by which kinetic energy in flowing, conducting
fluids can be spontaneously converted into magnetic energy.
Although this theory is well developed, there have been
few laboratory models testing the key features of the
dynamo theories. This grant supports studies of MHD phenomena
in a new laboratory at the University of Wisconsin where
key questions pertinent to the MHD dynamo will be investigated.
The main experiment supported
by this award consists of a 300 gallon spherical tank
filled with liquid sodium. Flows are driven in the liquid
sodium by propellers at speeds up to 15 m/s.At these
high speeds, magnetic field generation is expected to
spontaneously occur.
To investigate and study magnetic field generation in the
laboratory requires an ample volume of a sufficiently
conducting liquid such as sodium, moving with a sufficiently high
velocity to stretch and amplify magnetic fields.
The dimensionless number governing
the transition to a dynamo is the magnetic Reynolds number
Rm=m0
s a V (a product of conductivity,
scale length and velocity). For example, in spherical geometries
self--generation of magnetic fields requires Rm>50; if
using liquid sodium this requirement implies a vessel
with a radius larger than 0.5 m and flows in excess of 10
m/s. Engineering analysis then shows that experiments addressing
self-generation of magnetic fields require a minimum
inventory of 300 gallons of liquid sodium, and more than 100
kW of mechanical energy for driving the required flows. Constructing
such experiments introduces specialized engineering challenges (for
example rugged mechanical seals capable of operating reliably
with liquid sodium), requires development of new diagnostic
tools, and also requires a safety infrastructure capable
of dealing with liquid sodium hazards.
During the past three years, such a laboratory has been constructed
at the University of Wisconsin. Funds from the NSF, the
David and Lucille Packard Foundation, the University of Wisconsin, the
Sloan Foundation, the Research Corporation, and DoE, have
been used to assemble the laboratory and to construct a spherical
dynamo experiment capable of self-generation of magnetic
fields from flows in liquid sodium. The result of this labor
and investment is a not only the experiment, but also a facility
consisting of the liquid sodium reservoir, the sodium transfer
infrastructure, and motors for driving the flows.