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Non-equilibrium flow through a nozzle

Published online by Cambridge University Press:  28 March 2006

P. A. Blythe
P. A. Blythe
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington, Middlesex
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Abstract

Vibrationally relaxing flow through a nozzle is examined in the case when the amount of energy in the lagging mode is small. It is shown that there exists a ‘boundary-layer’ region in which relatively large departures from equilibrium occur. The position of this region is given by the type of criterion that has previously been used to predict the onset of ‘freezing’. An analytical solution for the distribution of the vibrational energy in the nozzle is obtained for a particular nozzle geometry, and an expression for the final asymptotic ‘frozen’ value of the vibrational energy far downstream is found. This asymptotic solution can be obtained from conditions at the ‘freezing’ point provided a suitable boundary condition is applied there.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 17 , Issue 1 , September 1963 , pp. 126 - 140
Copyright
© 1963 Cambridge University Press

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References

Bray, K. N. W. 1959 Atomic recombination in a hypersonic wind tunnel nozzle. J. Fluid Mech. 6, 1.Google Scholar
Bloom, M. H. & Ting, L. 1960 On near-equilibrium and near-frozen behaviour of one-dimensional flow. AEDC-TN-60-156, PIBAL-R-525.Google Scholar
Freeman, N. C. 1959 Non-equilibrium theory of an ideal dissociating gas through a conical nozzle. A.R.C. C.P. 438.Google Scholar
Freeman, N. C. 1962 Private communication.
Hall, J. G. & Russo, A. L. 1959 Studies of chemical non-equilibrium in hypersonic nozzle flows. Cornell Aero. Lab. Rep. AD-1118-A-6, AFOSR TN 59-1090.Google Scholar
Jeffreys, H. & Jeffreys, B. S. 1946 Methods of Mathematical Physics. Cambridge University Press.
Johannesen, N. H. 1961 Analysis of vibrational relaxation regions by means of the Rayleigh-line method. J. Fluid Mech. 10, 25.Google Scholar
Shapiro, A. H. 1953 The Dynamics and Thermodynamics of Compressible Fluid Flow. Ronald Press.
Shuler, K. E. 1959 Relaxation processes in multistate systems. Phys. Fluids, 2, 442.Google Scholar
Spence, D. A. 1961 Unsteady shock propagation in a relaxing gas. Proc. Roy. Soc. A, 264, 221.Google Scholar
Stollery, J. L. & Smith, J. E. 1962 A note on the variation of vibrational temperature along a nozzle. J. Fluid Mech. 13, 225.Google Scholar