<DOC>
<DOCNO>
112
</DOCNO>
<TITLE>
steady motion of conducting fluids in pipes under transverse
magnetic fields .
</TITLE>
<AUTHOR>
shercliff,j.a.
</AUTHOR>
<BIBLIO>
proc. cam. phil.s. 49, 1953, 136.
</BIBLIO>
<TEXT>
  this paper studies the steady
motion of an electrically conducting, viscous fluid
along channels in the presence of an imposed
transverse magnetic field when the walls do not
conduct currents .  the equations which determine
the velocity profile, induced currents and
field are derived and solved exactly in the case
of a rectangular channel .  when the imposed
field is sufficiently strong the velocity profile is
found to degenerate into a core of uniform flow
surrounded by boundary layers on each wall .
the layers on the walls parallel to the imposed
field are of a novel character .  an analogous
degenerate solution for channels of any symmetrical
shape is developed .  the predicted pressure
gradients for given volumes of flow at various field
strengths are finally compared with experimental results for square and
circular pipes .
</TEXT>
</DOC>
