<DOC>
<DOCNO>
1194
</DOCNO>
<TITLE>
magnetohydrodynamic flow past a thin airfoil .
</TITLE>
<AUTHOR>
cumberbatch,e., sarason,l. and weitzner,h.
</AUTHOR>
<BIBLIO>
aiaa jnl. 1, 1963, 679.
</BIBLIO>
<TEXT>
  the steady flow of a perfectly conducting
magnetohydrodynamic fluid past a thin nonconducting
airfoil is studied with the usual model
in which the fluid variables obey the lundquist
equations linearized about a constant unperturbed
flow .  /hyperliptic/ flows, in which hyperbolic
and elliptic fields are superimposed,
are considered .  results of grad, mccune and
resler, and sears and resler are extended and
considered in detail for the case of an arbitrarily
inclined unperturbed field .  the general solution
contains four line singularities along the
characteristics through the ends of the body and
has two arbitrary constants .  by a /generalized
kutta-joukowski condition,/ these constants
are fixed so that two of the line singularities
disappear .  specifically, it is required that the
solution be locally square integrable .  behavior
of the exponents of the singularities is investigated
by numerical computation and, in limiting
cases, analytically .  the singular parts of some flows
are investigated numerically .
</TEXT>
</DOC>
