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The linearized flow of a dissociating gas

Published online by Cambridge University Press:  28 March 2006

J. F. Clarke
J. F. Clarke
Affiliation:
College of Aeronautics, Cranfield, Bucks
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Abstract

The equations for planar two-dimensional steady flow of an ideal dissociating gas are linearized, assuming small disturbances to a free stream in chemical equilibrium.

As an example of their solution, the flow past a sharp corner in a supersonic stream is evaluated and the variations of flow properties in the relaxation zone are found. Numerical illustrations are provided using an ‘oxygen-like’ ideal gas and comparisons made with a characteristics solution. The flow past a sharp corner can be studied in a conventional shock tube and it may be possible to verify the present theory experimentally. In particular it may prove feasible to use the results to obtain a measure of the reaction rates in the gas mixture.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 7 , Issue 4 , April 1960 , pp. 577 - 595
Copyright
© 1960 Cambridge University Press

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References

Chu, B.-T. 1957 Brown University. Wright Air Development Centre, TN 57-213.
Clarke, J. F. 1958a College of Aeronautics, Cranfield, Rep. no. 117.
Clarke, J. F. 1958b Aero. Res. Counc., Lond., Rep. no. 20,588.
Cleaver, J. W. 1959 Thesis. College of Aeronautics, Cranfield. (To be published in the College of Aeronautics Rep. series.)
Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tables of Integral Transforms, vol. 1. New York: McGraw-Hill Book Co. Inc.
Hayes, W. D. & Wu, C. S. 1958 Quart. Appl. Math. 16, 92.
Kirkwood, J. G. & Wood, W. W. 1957 J. Appl. Phys. 28, 395.
Lighthill, M. J. 1957 J. Fluid Mech. 2, 1–32.
Moore, F. K. & Gibson, W. E. 1959 Inst. of Aero. Sciences, Rep. no. 59-64.
Morrison, J. A. 1956 Quart. Appl. Math. 14, 153–69.