<DOC>
<DOCNO>
118
</DOCNO>
<TITLE>
the transonic flow of a compressible fluid through
an axially symmetrical nozzle .
</TITLE>
<AUTHOR>
tomotika,s. and hasimoto,z.
</AUTHOR>
<BIBLIO>
j.math.phys. 29, 1950, 105.
</BIBLIO>
<TEXT>
  by a method similar to that developed by s. tomotika
and k. tamada (quart. appl. math. 7, 381-397 (1950),.
these rev. 11, 275) for computing two-dimensional mixed
isentropic flows in the sonic region, the flow in the vicinity
of the throat of an axially symmetrical nozzle is studied .
several exact solutions to von karman's equation for axially
symmetrical transonic flows are obtained and the one that
gives flows through a converging and diverging nozzle is
considered in detail .  this solution consists of four branches
of which two are rejected because of singularities .  of the
remaining two branches, one gives pure supersonic flow and
the other gives taylor's type of flow with a local supersonic
region in the throat .  by varying a parameter, the latter
branch approaches two asymptotes which yield meyer's
type of asymmetrical flows .
</TEXT>
</DOC>
