<DOC>
<DOCNO>
349
</DOCNO>
<TITLE>
numerical solution of the boundary layer equations
without similarity assumptions .
</TITLE>
<AUTHOR>
kramer,r.f. and lieberstein,h.
</AUTHOR>
<BIBLIO>
j. ae. scs. 26, 1959, 508.
</BIBLIO>
<TEXT>
  the crocco transformation combined with a mangler transformation
is used to carry the boundary-layer problem for axially
symmetric blunt bodies into a form suitable for direct numerical
computation without introduction of similarity assumptions .
conditions which in the original problem appear at infinity now
are brought to a finite straight line, and the body is transformed
to a parallel line .  data can be generated on the stagnation line
the equations are a parabolic system of two second-order equations,
the boundary-value problem is analogous to the slab problem
for the heat equation .  an implicit difference equation is
used to reduce stability difficulties .  special techniques in forming
the difference equation result in a linear system of algebraic
equations to be solved on any given line of integration, and these
solutions are computed from recursion relations generated by
back substitution .  for bluntnosed bodies with approach flow
mach numbers greater than 8 (approximately), large temperature
gradients occur across a thin boundary layer of dissociated
gas, and it is necessary to use real-gas effects, approximated here
by certain fits to the gas tables .  a case is computed, however,
for a lower mach number approach flow using perfect-gas theory
to provide a standard against which similarity solutions may be
tested .
</TEXT>
</DOC>
