<DOC>
<DOCNO>
457
</DOCNO>
<TITLE>
on laminar boundary-layer flow near a position of separation .
</TITLE>
<AUTHOR>
goldstein,s.
</AUTHOR>
<BIBLIO>
q. j. mech.app. mech. 1, 1948, 43.
</BIBLIO>
<TEXT>
  singularities are considered in the solution of
the laminar boundary-layer equations
at a position of separation .  a singularity of
the type here considered occurred
in a careful numerical computation by hartree
for a linearly decreasing velocity
distribution outside the boundary layer ,. it may
occur generally .  whenever it does
occur, the boundary-layer equations cease to be
valid at and near separation on the
upstream side, and also downstream of separation .
the work suggests that singularities
may arise in the solution of non-linear
parabolic equations due to their
non-linearity .  the formulae found may help
computers of laminar boundary layers,
who desire more than a rough solution, to have
an end-point at which to aim .
</TEXT>
</DOC>
