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On the structure of a class of aerothermodynamic shocks

Published online by Cambridge University Press:  29 March 2006

P. A. Blythe ,
D. G. Petty ,
D. A. Schofield  and
J. L. Wilson
P. A. Blythe
Affiliation:
Department of Aeronautics, Imperial College, London Present address: Centre for the Application of Mathematics, Lehigh University, Bethlehem, Pennsylvania.
D. G. Petty
Affiliation:
Department of Aeronautics, Imperial College, London Present address: Aerodynamics Department, College of Aeronautics, Cranfield.
D. A. Schofield
Affiliation:
Quantum Metrology Division, National Physical Laboratory, Teddington
J. L. Wilson
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington Present address: National Engineering Laboratory, East Kilbride.
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Abstract

Some recent work on the existence of vibrational de-excitation shocks (δ-shocks) in expanding non-equilibrium nozzle flows is extended to include situations in which an adiabatic shock (δ-shocks) may be embedded within the de-excitation shock. A discussion of some further properties of the shock solution is given and some examples are worked out. Numerical solutions of the full equations are also presented. These solutions confirm the existence of the δ-shocks but bring to light certain anomalies in the simple approximate solution. The modifications necessary to remove these discrepancies are outlined, and the implications of the numerical results are briefly discussed. Finally, some comments on the nature of the asymptotic solution for an arbitrary rate process are made.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 37 , Issue 2 , 23 June 1969 , pp. 349 - 370
Copyright
© 1969 Cambridge University Press

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References

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