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The development of weak waves in the steady two-dimensional flow of a gas with vibrational relaxation past a thin wedge

  • R. P. Hornby (a1) (a2) and N. H. Johannesen (a1)

Abstract

The method of characteristics is used to calculate the supersonic flow past a wedge of small angle with non-equilibrium effects. The wave decay and development distances are presented in a concise similarity form which permits accurate extrapolation to very weak waves. The numerical solutions are compared with shock-tube flows of CO2 and N2O.

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References

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Bhangu, J. K. 1966 Shock tube studies of vibrational relaxation in N2O. J. Fluid Mech. 25, 817.
Blythe, P. A. 1969 Non-linear wave propagation in a relaxing gas J. Fluid Mech. 37, 31.
Capiaux, R. & Washington, M. 1963 Non-equilibrium flow past a wedge A.I.A.A. J. 1, 650.
Dain, C. G. & Hodgson, J. P. 1975 The development of weak waves in the unsteady one-dimensional flow of a vibrationally relaxing gas ahead of an impulsively started piston J. Fluid Mech. 69, 129.
Der, J. J. 1963 Theoretical studies of supersonic two-dimensional and axisymmetric non-equilibrium flow including calculations of flow through a nozzle. N.A.S.A. Tech. Rep. R-164.
Hodgson, J. P. & Johannesen, N. H. 1971 Real-gas effects in very weak shock waves and the structure of sonic bangs J. Fluid Mech. 50, 17.
Johannesen, N. H., Zienkiewicz, H. K., Blythe, P. A. & Gerrard, J. H. 1962 Experimental and theoretical analysis of vibrational relaxation regions in CO2. J. Fluid Mech. 13, 213.
Lighthill, M. J. 1956 Viscosity effects in sound waves of finite amplitude. In Surveys in Mechanics (ed. Batchelor & Davies), pp. 250351. Cambridge University Press.
Rees, T. 1968 Computer calculations of relaxation regions and equilibrium conditions for shock waves with tables for CO2 and N2O. Aero. Res. Counc. R. & M. no. 3472.
Sedney, R. 1970 The method of characteristics. In Non-equilibrium Flows (ed. Wegener), part 2, pp. 160225. Dekker.
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