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Non-Equilibrium Flow of an Ideal Dissociating Gas Behind an Attached Shock Wave

Published online by Cambridge University Press:  07 June 2016

V.D. Sharma
V.D. Sharma*
Affiliation:
Applied Mathematics Section, Institute of Technology, B.B.U., Varanasi 221005, India
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Summary

The curvature of an attached shock wave and the flow variable gradients at the tip of a straight edged wedge caused by non-equilibrium effects are determined for a steady plane flow. The specific source of non-equilibrium effects considered here is the dissociation-recombination reaction in a symmetrical diatomic gas. An oxygen like idea dissociating gas is used as an example in calculating the desired quantities. The qualitative behaviour of the exact results is compared with those obtained by using approximate methods.

Type
Research Article
Information
Aeronautical Quarterly , Volume 31 , Issue 4 , November 1980 , pp. 238 - 251
Copyright
Copyright © Royal Aeronautical Society. 1980

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References

1 Shen, S.F. and Lin, C.C., On the attached curved shock in front of a sharpnosed axially symmetrical body placed in a uniform stream. N.A.C.A. Tech. Note 2505, 1951.Google Scholar
2 Kogan, A., On supersonic rotational flow behind strong shock waves, II Flow past ogives of revolution. Tech. Rept. TRDF Ltd., Haifa, Israel, 1956.Google Scholar
3 Bianco, E., Cabannes, H. and Kuntjmann, J., Curvature of attached shock waves in steady axially symmetric flow. J. Fluid Meoh., vol 7, p 610, 1960.Google Scholar
4 Cabannes, H. and Stael, C., Singularities of attached shock waves in steady axially symmetric flow. J. Fluid Meoh., vol 10, p 289, 1961.Google Scholar
5 Sedney, R. and Gerber, N., Non-equilibrium flow over a cone. AIAA Journal, vol 1, p 2482, 1963.CrossRefGoogle Scholar
6 South, J.C. and Newman, P.A., Application of the method of integral relations to real gas flows past pointed bodies. AIAA Journal, vol 3, p 1645, 1965.CrossRefGoogle Scholar
7 Spurk, J.H., Gerber, N. and Sedney, R., Characteristic calculation of flow fluids with chemical reactions. AIAA Journal, vol 4, p 30, 1966.Google Scholar
8 Sedney, R. and Gerber, N., Shock curvature and gradients at the tip of pointed axisymmetric bodies in non-equilibrium flow. J. Fluid Meoh., vol 29, p 765, 1967.Google Scholar
9 Taub, A.H., Determination of flows behind stationary and pseudostationary shocks. Ann. of Math., vol 62, p 300, 1955.Google Scholar
10 Pant, J.C., Reflection of a curved shock from a straight rigid boundary. Phys. Fluids, vol 14, p 534, 1971.Google Scholar
11 Chester, W., Supersonic flow past a bluff body with a detached shock, part II, axisymmetric body. J. Fluid Meah., vol 1, p 490, 1956.Google Scholar
12 Lighthill, M.J., Dynamics of a dissociating gas, Part I, Equilibrium flow. J. Fluid Meah., vol 2, p 1, 1957.Google Scholar
13 Vincenti, W.G. and Kruger, C.H., Introduction to Physical Gasdynamics, Wiley, 1965.Google Scholar
14 Li, T.Y. and Hsia, S.J., Studies on dissociating gasdynamics, part I, on the linearized dissociating gasdynamics. Tech. Rept. No. AFOSR 65-0849, Univ. of Cincinnati, Ohio, July 1965.Google Scholar
15 Hayes, W.D. and Probstein, R.F., Hypersonic Flow Theory, vol 1, Academic Press, New York, 1966.Google Scholar
16 Clarke, J.F. and McChesney, M., Dynamics of Relaxing Gases, Butterworth, 1976.Google Scholar
17 Thomas, T.Y., On curved shock waves. J. Math. Phys., vol 26, p 62, 1947.Google Scholar
18 Hirschfelder, J.O., Heat transfer in chemically reacting mixtures. J. Chem. Phys., vol 26, p 274, 1957.Google Scholar