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A New Solution of the Turbulent Near-Wake Recompression Problem

Published online by Cambridge University Press:  07 June 2016

S J Shamroth  and
H McDonald
S J Shamroth
Affiliation:
United Aircraft Research Laboratories, East Hartford, Connecticut
H McDonald
Affiliation:
United Aircraft Research Laboratories, East Hartford, Connecticut
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Summary

A method is presented for predicting the behaviour of a two-dimensional supersonic turbulent near-wake during the recompression process. In contrast to most previous extensions of Crocco-Lees strong interaction theory, the proposed analysis includes a transverse momentum integral equation. In addition, a modified strip method for conservation of streamwise momentum replaces the usual integral equations. Although a straightforward treatment of the equations results in the appearance of a singularity analogous to the well-known Crocco-Lees critical point, it is shown that solutions can be obtained which do not exhibit a singular behaviour, either by posing the problem as a boundary-value problem rather than an initial-value problem or by making a suitable approximation which suppresses the quasi-elliptic behaviour of the equations. Both procedures lead to an unambiguously defined uniqueness condition for the near-wake recompression solution.

Type
Research Article
Information
Aeronautical Quarterly , Volume 23 , Issue 2 , May 1972 , pp. 121 - 130
Copyright
Copyright © Royal Aeronautical Society. 1972

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