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Particle dispersion in the developing free shear layer. Part 2. Forced flow

Published online by Cambridge University Press:  26 April 2006

B. J. Lázaro
Affiliation:
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA
J. C. Lasheras
Affiliation:
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411, USA

Abstract

In this study we analyse the dispersion mechanisms of small water particles in an acoustically forced plane, turbulent mixing layer. When compared to the naturally developing flow, the excited mixing layer is shown to exhibit drastic changes in the cross-stream particle concentration evolution, with the particles now dispersing laterally at larger rates than that of the longitudinal momentum of the turbulent gas glow. The particle dispersion is shown to occur as a size-selective process characterized by the existence of an intermediate particle size range for which the lateral dispersion is maximized. Unlike in the natural flow evolution, the forced shear layer does not possess a non-dimensionalization rendering particle size independent dispersion properties. It is demonstrated that this behaviour results from the non-similarity of the developing gas motion. The mixing layer is shown to have inhomogeneities both in the droplet concentration and in the droplet-size probability density distribution function. Instantaneous flow visualizations as well as spectral analysis of laser extinction measurements show the presence of a coherent organization in the particle concentration field resulting from the large-scale eddies characterizing the underlying turbulent gas flow. Conditional, phase-average sample techniques are used to analyse the structure of this coherent particle dispersion field. The dispersion is shown to be controlled by an array of large streaks that emanate from the undisturbed spray, engulfing areas which are almost depleted of droplets. The data from the conditional sampling measurements are in good agreement with preliminary results from a simplified Eulerian model of the particle motion, showing the potential that this formulation can have for analysing this type of flow.

Type
Research Article
Copyright
© 1992 Cambridge University Press

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References

Antonia, R. A. 1983 Conditional sampling in turbulence measurement. Ann. Rev. Fluid Mech. 13, 131156.Google Scholar
Browand, F. K. & Weidman, P. D. 1976 Large scales in the developing mixing layer. J. Fluid Mech. 76, 127144.Google Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Chein, R. & Chung, J. N. 1988 Simulation of particle dispersion in a two-dimensional mixing layer. AIChE J. 34, 946954.Google Scholar
Chung, J. N. & Troutt, T. R. 1988 Simulation of particle dispersion in an axisymmetric jet. J. Fluid Mech. 186, 199222.Google Scholar
Crowe, C. T., Chung, J. N. & Troutt, T. R. 1988 Particle mixing in free shear flows. Prog. Energy Combust. Sci. 14, 171194.Google Scholar
Drew, D. A. 1983 Mathematical modelling of two-phase flows. Ann. Rev. Fluid Mech. 15, 261291.Google Scholar
FernaAndez de la Mora, J. & Riesco-Chueca, P. 1988 Aerodynamic focusing of particles in a carrier gas. J. Fluid Mech. 195, 121.Google Scholar
Fiedler, H. E. & Mensing, P. 1985 The plane turbulent shear layer with periodic excitation. J. Fluid Mech. 150, 281309.Google Scholar
Freymuth, P. 1966 On transition in a separated laminar boundary layer. J. Fluid Mech. 25, 683704.Google Scholar
Ho, C. K. & Huang, L. S. 1982 Subharmonic and vortex merging in mixing layers. J. Fluid Mech. 119, 443473.Google Scholar
LaAzaro, B. J. 1989 Particle dispersion in turbulent free shear flows. Ph.D. dissertation, University of Southern California.
LaAzaro, B. J. & Lasheras, J. C. 1989 Particle dispersion in a turbulent, plane, free shear layer. Phys. Fluids A 1, 10351044.Google Scholar
LaAzaro, B. J. & Lasheras, J. C. 1992 Particle dispersion in the developing free shear layer. Part 1. The natural flow. J. Fluid Mech. 235, 143178.Google Scholar
Robinson, A. 1956 On the motion of small particles in a potential field of flow. Commun. Pure Appl. Maths. IX, 6984.Google Scholar
Wygnanski, I., Oster, D. & Fiedler, H. A. 1979 A forced plane, turbulent mixing layer: a challenge for the predictor. In. Turbulent Shear Flows 2, pp. 314326. Springer.