Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-20T00:56:20.118Z Has data issue: false hasContentIssue false

Particle dispersion in the developing free shear layer. Part 1. Unforced 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

An experimental investigation of the dispersion of small particles in a developing, high-Reynolds-number, turbulent, plane mixing layer is presented. Flow visualizations, laser attenuation and diffraction techniques as well as hot-wire anemometry are used to describe the evolution of the mean and instantaneous particle and gas flow fields. It is shown that the large scale turbulent motion existing in the mixing layer plays a central role in the dispersion of the particles. The mean particle concentration field is shown to be the result of a statistical distribution of streaks produced by the large-scale coherent component of the turbulent motion in the mixing layer. Furthermore, for every particle size, the spreading of the particle concentration thickness is found to occur at a smaller rate than the one characterizing the momentum of the turbulent carrier gas. Large particles are shown to initially disperse into the mixing layer less effectively than the small ones. However, when both downstream and cross-stream coordinates are non-dimensionalized with a characteristic length proportional to the square of the droplet diameter, a universal, particle-size independent dispersion field is found to exist.

Type
Research Article
Copyright
© 1992 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bachalo, W. D. & Houser, M. J. 1984 Phase doppler spray analyzer for simultaneous measurements of drop size and velocity distribution. Opt. Engng 23, 583590.Google Scholar
Bearman, P. W. 1971 Corrections for the effect of ambient temperature drift on hot-wire measurements in incompressible flows. DISA Info. 11, 2530.Google Scholar
Browand, F. K. & Latigo, B. O. 1979 Growth of the two-dimensional mixing layer from a turbulent and nonturbulent boundary layer. Phys. Fluids 22, 10111019.Google Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure on turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Call, C. J. & Kennedy, I. M. 1990 Droplet dispersion in a round turbulent jet. AIAA 28th Aerospace sci. Meeting, Paper 90–468.Google Scholar
Chein, R. & Chung, J. N. 1988 Simulation of particle dispersion in a two-dihensional mixing layer. AIChE J. 34, 946954.Google Scholar
Chung, J. N. & Troutt, T. R. 1988 Simulation of particle dispersion in an axilsymmetric 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
Hinze, J. O. 1975 Turbulence. 2nd Edn. McGraw-Hill.
Hjelmfelt, A. T. & Mockros, L. J. 1966 Motion of discrete particles in a turbulent fluid. Appl. Sci. Res. 16, 149161.Google Scholar
Hottel, H. C., Sarofim, A. F., Vasalos, I. A. & Dalzell, W. H. 1970 Multiple scatter: comparison of theory with experiment. J. Heat Transfer 92, 285291.Google Scholar
Hunt, J. C. R. 1985 Turbulent diffusion from sources in complex flows. Ann. Rev. Fluid Mech. 7, 447485.Google Scholar
Kobayashi, H., Masutani, S. M., Azuata, S., Arashi, N. & Hishinuma, Y. 1988 Dispersed phase transport in a plane mixing layer. In Transport phenomena in turbulent flows, pp. 433446. Hemisphere.
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 2. Forced flow. J. Fluid Mech. 235, 179221.Google Scholar
Longmier, E. K. & Eaton, J. K. 1989 Structure and control of particle laden round jets. Proc. Korean–US Fluid Engng Seminar, pp. 435454.Google Scholar
Maxey, M. R. & Riley, J. J. 1983 Equation of motion for a small sphere in a nonuniform flow. Phys. Fluids 26, 883889.Google Scholar
Perry, A. E. 1982 Hot Wire Anemometry. Clarendon.
Snyder, W. H. & Lumley, J. L. 1971 Some measurements of particle velocity autocorrelation functions in a turbulent flow. J. Fluid Mech. 48, 4171.Google Scholar
Swithenbank, J., Beer, J. M., Taylor, D. S., Abbot, D. & McCreath, G. C. 1976 A linear diagnostic technique for the measurement of droplet and particle size distribution. AIAA 14th Aerospace Sci. Meeting, pp. 421447.Google Scholar
Taylor, G. I. 1921 Diffusion by continuous movements. Proc. R. Soc. Lond. 151, 421478.Google Scholar
Thompson, D. J. 1987 Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J. Fluid Mech. 180, 509526.Google Scholar
Van de Hulst, H. C. 1957 Light Scattering by Small Particles. Dover.
Weisbrot, I., Einav, S. & Wygnanski, I. 1982 The nonunique rate of spread of the two-dimensional mixing layer. Phys. Fluids 25, 16911693.Google Scholar