<DOC>
<DOCNO>
474
</DOCNO>
<TITLE>
laminar mixing of a compressible fluid .
</TITLE>
<AUTHOR>
dean r. chapman
</AUTHOR>
<BIBLIO>
</BIBLIO>
<TEXT>
a theoretical investigation of the velocity profiles for laminar
mixing of a high-velocity stream with a region of fluid at rest
has been made assuming that the prandtl number is unity .  a method
which involves only quadratures is presented for calculating the
velocity profile in the mixing layer for an arbitrary value of the
free-stream mach number .
detailed velocity profiles have been calculated for free-stream mach
numbers of 0, 1, 2, 3, and 5 .  for each mach number, velocity profiles
are presented for both a linear and a 0.76-power variation of viscosity
with absolute temperature .  the calculations for a linear variation are
much simpler than those for a 0.76-power variation .  it is shown that
by selecting the constant of proportionality in the linear approximation
such that it gives the correct value for the viscosity in the hightemperature
part of the mixing layer, the resulting velocity profiles
are in excellent agreement with those calculated by a 0.76-power
variation .
</TEXT>
</DOC>
