<DOC>
<DOCNO>
377
</DOCNO>
<TITLE>
a turbulent analog of the stewartson-illingworth transformation .
</TITLE>
<AUTHOR>
culick,f.e. and hill,j.
</AUTHOR>
<BIBLIO>
j. ae. scs. 25, 1958.
</BIBLIO>
<TEXT>
  the stewartson-illingworth transformation is applied to the
integral momentum equation for compressible boundary-layer
flow, leaving the x-coordinate transformation unspecified, however
.  it is shown that the transformed equation is the integral
momentum equation for incompressible flow if (a) the effect of
compressibility on the boundary-layer shape parameter h can be
represented by
and (b) the x-coordinate transformation is chosen to be suitably
related to the ratio of skin-friction coefficients in compressible
and incompressible flows .
  experimental evidence is presented which shows that condition
(a) is satisfied for turbulent boundary layers up to m = 5 .
an x-transformation is chosen according to (b) and an equation is
presented which gives the turbulent boundary-layer growth in
compressible flow in terms of a simple quadrature .  the predictions
of this equation are then compared with some measurements
on wind-tunnel nozzles .
</TEXT>
</DOC>
