<DOC>
<DOCNO>
105
</DOCNO>
<TITLE>
the asymptotic boundary layer on a circular cylinder
in axial incompressible flow .
</TITLE>
<AUTHOR>
stewartson,k.
</AUTHOR>
<BIBLIO>
q.app.math. 13, 1955, 113.
</BIBLIO>
<TEXT>
  in this paper the incompressible boundary layer over a
circular cylinder in an axial flow is investigated far from the
leading edge .  if u and v are the velocity components in the
x and r direction respectively and a stream function is
introduced by and, then
for a constant free-stream velocity has the following
asymptotic form ..
where the p's are determined successively, first for s=1 and
all t, then s=2 and all t, etc., from ordinary differential equations
.  here and log c=euler's
constant .  it is shown that the effect of the curvature of the
body (in planes perpendicular to the flow) is to increase
the skin friction .  also the case in which the free-stream velocity
is proportional to (at the
method breaks down), is studied .  it is concluded that the
effect of the curvature of the cylinder, when the boundary
layer has a thickness comparable with its radius of curvature,
is to delay separation .
</TEXT>
</DOC>
