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Weak waves in relaxing flows

Published online by Cambridge University Press:  28 March 2006

Peter P. Wegener,
Boa-Teh Chu and
W. A. Klikoff
Peter P. Wegener
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Connecticut
Boa-Teh Chu
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Connecticut
W. A. Klikoff
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, ConnecticutNow with Sandia Corporation, Albuquerque, New Mexico.
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Abstract

Theoretical and experimental investigations are described of the linearized wave equation of supersonic flow with a single relaxation process. Firing-range experiments using a known model gas mixture with a single relaxation process are discussed. Qualitatively, it is shown that weak conical and spherical waves decay as predicted by theory. In addition, this decay can be determined quantitatively for conical disturbances; and, satisfactory agreement with theory is found. For application to unknown relaxation processes, it is suggested that observation of the damping of weak waves provides an additional tool for the study of fast rate processes.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 4 , December 1965, pp. 787 - 800
Copyright
© 1965 Cambridge University Press

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References

Brinkley, S. R. & Richardson, J. M. 1953 On the structure of plane detonation waves with finite reaction velocity. Fourth Symposium (International) on Combustion. Baltimore: Williams and Wilkins Co.
Broer, L. J. F. 1950 On the influence of acoustic relaxation on compressible flow. Appl. Sci. Res. A, 2, 447.Google Scholar
Broer, L. J. F. 1958 Characteristics of the equations of motion of a reacting gas. J. Fluid Mech. 4, 276.Google Scholar
Carrington, T. & Davidson, N. 1953 Shock waves in chemical kinetics: the rate of dissociation of N2O4. J. Phys. Chem. 57, 418.Google Scholar
Chu, B. T. 1958 Wave propagation in a reacting mixture. Proc. Heat Transfer & Fluid Mech. Inst., p. 80. Stanford University Press.
Clarke, J. F. & McChesney, M. 1964 The Dynamics of Real Gases, p. 186. Washington: Butterworths.
Einstein, A. 1920 Schallgeschwindigheit in teilweise dissoziierten Gasen. S.B. preuss. Akad. Wiss. 18, 380.Google Scholar
Gray, P. & Yoffe, A. D. 1955 The reactivity and structure of nitrogen dioxide. Chem. Rev. 55, 1069.Google Scholar
Moore, F. K. 1958 Propagation of weak waves in a dissociated gas. J. Aero/Space Sci. 25, 279.Google Scholar
Moore, F. K. & Gibson, W. E. 1960 Propagation of weak disturbances in a gas subject to relaxation effects. J. Aero/Space Sci. 27, 117.Google Scholar
Strehlow, R. A. 1964 Private communication.
Vincenti, W. G. 1959 Non-equilibrium flow over a wavy wall. J. Fluid Mech. 6, 481.Google Scholar
Wegener, P. P. 1958 Measurement of rate constants of fast reactions in a supersonic nozzle. J. Chem. Phys. 28, 724.Google Scholar
Wegener, P. P. 1961 A review of investigations of stationary supersonic nozzle flow with a reacting gas mixture. Combustion and Propulsion—Fourth AGARD Colloquium. Oxford: Pergamon Press.
Wegener, P. P. 1964 Determination of reaction rates from measurements of the decay of weak disturbances. J. Chem. Phys. 41, 1512.Google Scholar
Wegener, P. P. & Cole, J. D. 1962 Experiments on propagation of weak disturbances in stationary supersonic nozzle flow of chemically reacting gas mixtures. Eighth Symposium (International) on Combustion. Baltimore: Williams and Wilkins Co.
Whitham, G. B. 1959 Some comments on wave propagation and shock wave structure with application to magnetohydrodynamics. Comm. Pure Appl. Math. 12, 113.Google Scholar
Wood, W. W. & Kirkwood, J. G. 1957 Hydrodynamics of a reacting and relaxing fluid. J. Appl. Phys. 28, 395.Google Scholar