On the Matching of Solutions for Unsteady Transonic Nozzle Flows.
PURDUE UNIV LAFAYETTE IND PROJECT SQUID HEADQUARTERS
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Many solutions have been presented for two dimensional transonic nozzle flows, with several different methods being represented. Two of the more interesting of these solutions are those presented by Tomotika and Tamada 1950 and Szaniawski 1965. However, it has not been made clear under what conditions either solution is valid. It is the purpose of the paper using the methods of matched asymptotic expansions, to derive the Szaniawski power series systematically and to show that this solution should be considered as an outer solution which may not be uniformly valid as the throat is approached. The inner throat region is governed by the nonlinear transonic equations which admit as one class of solutions, similarity solutions. The analysis is performed using the general non-steady inviscid equations of motion, with the steady flow results being derivable as a special case. Modified author abstract
- Fluid Mechanics