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Two dimensional channel flow of liquid metal in the presence of progressing alternating transverse

Two dimensional channel flow of liquid metal in the presence of progressing alternating transverse.m

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as in a uniform magnetic field and the other is the oscillatory part with a comparable
order of
magnitude.
The pressure drop takes place proportional
to the power output as the velocity of
the main flow exceeds that of the progressing
magnetic field. The pressure drop due to the
boundary
layer loss is small, on the order of R- ‘I2 . These results should be useful as
fundamental
knowledge
when we consider
a liquid metal induction
generator
and MHD
metallurgy problems and also when we carry out numerical calculations
for more general cases
of Reynolds number and magnetic Reynolds number.

2. Flow configuration
Fig. 1 shows the flow of an incompressible
conducting
fluid between two parallel walls in the
presence of a progressing alternating
transverse magnetic field. The rectangular
wave profile in
the figure denotes the stator that produces
a progressing
alternating
magnetic
field. Two
parallel walls are made of insulator of sufficient thinness and located close to the stator. If we
supp
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