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Shock-induced mixing of a light-gas cylinder

Published online by Cambridge University Press:  26 April 2006

J. W. Jacobs
J. W. Jacobs
Affiliation:
California Institute of Technology, Pasadena, Ca 91125, USA Present address: Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721, USA.
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Abstract

Experiments have been carried out to quantify the mixing induced by the interaction of a weak shock wave with a cylindrical volume of a gas (helium) that is lighter than its surroundings (air). In these experiments a round laminar jet was used to produce the light-gas cylinder, and planar laser-induced fluorescence (PLIF), utilizing a fluorescent tracer (biacetyl) mixed with the helium, was used to visualize the flow. These techniques provide a higher quality of flow visualization than that obtained in previous investigations. In addition, the PLIF technique could be used for the measurement of species concentration. The distortion of the helium cylinder produced by the passing shock wave was found to be similar to that displayed by images from previous experimental and computational investigations. The downstream displacement of several points on the boundary of the light-gas cylinder are measured and agree reasonably well with the results of earlier experimental and theoretical studies as well. Because the mixing process causes the helium originally contained within the cylinder to be dispersed into the surrounding air, the PLIF image area inside the contour at one half the maximum concentration of the fluorescent tracer decreases as the two gases mixed. The change in this area is used as a measure of the mixing rate, and it is found that the time rate of change of this area divided by the area of the initial jet is approximately −0.7 × 103 s−1.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 629 - 649
Copyright
© 1992 Cambridge University Press

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References

Bonazza, R., Brouillette, M., Goldstein, D., Haas, J.-F., Winckelmans, G. & Sturtevant, B. 1985 Rayleigh—Taylor instability of oblique interfaces. Bull. Am. Phys. Soc. 30, 1742.Google Scholar
Broadwell, J. E. & Breidenthal, R. E. 1982 A simple model of mixing and chemical reaction in a turbulent shear layer. J. Fluid Mech. 125, 397–410.Google Scholar
Brouillette, M. & Sturtevant, B. 1988 Shock induced Rayleigh—Taylor instability at a continuous interface. Abstract submitted to the Intl Workshop on the Physics of Compressible Turbulent Mixing, 24–27 October 1988, Princeton, New Jersey.
Cowperthwaite, N. 1989 The interaction of a plane shock and a dense spherical inhomogeneity. Physica D 37, 264–269.Google Scholar
Epstein, A. H. 1974 Fluorescent gaseous tracers for three dimensional flow visualization. MIT Gas Turbine Lab Rep. 117.Google Scholar
Epstein, A. H. 1977 Quantitative density visualization on a transonic compressor rotor. Trans. ASME A: J. Engng for Power 99, 460–475.Google Scholar
Haas, J.-F. & Sturtevant, B. 1987 Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J. Fluid Mech. 181, 41–76.Google Scholar
Liepmann, H. W., Roshko, A., Coles, D. & Sturtevant, B. 1962 A 17-inch diameter shock tube for studies in rarefied gasdynamics. Rev. Sci. Instrum. 33, 625–631.Google Scholar
Marble, F. E. 1985 Growth of a diffusion flame in the field of a vortex. In Recent Advances in the Aerospace Sciences (ed. Corrado Casci), pp. 413–413. Plenum.
Markstein, G. H. 1957a Flow disturbances induced near a slightly wavy contact surface, or flame front, traversed by a shock wave. J. Aero. Sci. 24, 238.Google Scholar
Markstein, G. H. 1957b A shock tube study of flame front-pressure wave interactions. 6th Intl Symp. Combust., pp. 398–398. Reinhold.
Meshkov, E. E. 1969 Instability of the interface of two gases accelerated by a shock wave. Izv. Akad. Nauk. SSSR Mekh. Zhidk. Gaza 4, 151–157 [Russian: Izv. Acad. Sci. USSR Fluid Dyn. 4, 101–104].Google Scholar
Picone, J. M. & Boris, J. P. 1988 Vorticity generation by shock propagation through bubbles in a gas. J. Fluid Mech. 189, 23–51.Google Scholar
Picone, J. M., Oran, E. S., Boris, J. P. & Young, T. R. 1985 Theory of vorticity generation by shock wave and flame interactions. In Dynamics of Shock Waves, Explosions, and Detonations, pp. 448–448. AIAA.
Richtmyer, R. D. 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Maths 23, 297–319.Google Scholar
Rudinger, G. 1958 Shock wave and flame interactions. Combustion and Propulsion, Third AGARD Colloq. London. Pergamon.
Rudinger, G. & Somers, L. M. 1960 Behaviour of small regions of different gases carried in accelerated gas flows. J. Fluid Mech. 7, 161–176.Google Scholar
Saffman, P. G. & Meiron, D. I. 1989 Kinetic energy generated by incompressible Richtmyer—Meshkov instability in a continuous stratified fluid. Phys. Fluids A 1, 1767–1771.Google Scholar
Yang, X., Zabusky, N. J. & Chen, I. L. 1990 ‘Breakthrough’ via dipolar-vortex/jet formation in shock-accelerated density-stratified layers. Phys. Fluids A 2, 892–895.Google Scholar
Zaitsev, S. G., Lazareva, E. V., Chernukha, V. V. & Belyaev, V. M. 1985 Experimental investigation of the hydrodynamic instability of the interface between media of different density in an acceleration field. Translated from Teplofizika Vysokikh Temperatur 23, 535–541.