On the Anisotropy of Drop and Particle Velocity Fluctuations in Two-Phase Round Gas Jets

  • A. Tomboulides
  • M. J. Andrews
  • F. V. Bracco


Drops and particles in steady fully developed gas jets exhibit anisotropic radial and axial velocity fluctuations and even models of two-phase flows that use isotropic k — ε turbulence submodels generally reproduce the anisotropy. It is shown that the drop velocity fluctuations can be separated into radial fluctuations that depend mainly on gas turbulence and axial fluctuations that depend also on the drop radial motion across a mean drop velocity gradient. Drop equilibration time scales are defined and used to evaluate quantitatively the drop fluctuating velocities for different drop sizes, gas turbulence properties, and local mean drop velocity gradients.


Velocity Fluctuation Drop Size Drop Velocity Spray Model Axial Velocity Fluctuation 
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  1. Andrews, M.J., and Bracco, F.V., 1989, “On the Structure of Turbulent Dense Spray Jets,” N.P. Cheremisinoff (Ed.), Encyclopedia of Fluid Mechanics, 8.Google Scholar
  2. Bracco, F.V., 1985, “Modelling of Engine Sprays,” SAE paper 1 850394.Google Scholar
  3. Chatwani, A.U., and Bracco, F.V., 1985, “Computation of Dense Spray Jets,” ICLASS-85, paper 1B/1–1, London.Google Scholar
  4. Dukowicz, J.K., 1980, “A Particle-Fluid Numerical Model for Liquid Sprays,” J. Comp. Phys, 1 35.MathSciNetGoogle Scholar
  5. Faeth, G.M., 1986, “Turbulence/Drop Interactions in Sprays,” AIAA paper 86-0136 Google Scholar
  6. Gosman, A.D., and Ioannides, E., 1981, “Aspects of Computer Simulation of Liquid-Fueled Combustors,” AIAA paper 181-0323.Google Scholar
  7. Hinze, J.O., 1972, “Turbulent Fluid and Particle Interactions,” Prog. Heat and Mass Transfer, 6, 433–452.Google Scholar
  8. Martinelli, L., Bracco, F.V., and Reitz, R.D., 1985, “Comparisons of Computed and Measured Dense Spray Jets,” Progress in Astronautics and Aeronautics, 1 95.Google Scholar
  9. O’Rourke, P.J., 1981, “Collective Drop Effects on Vaporizing Liquid Sprays,” Ph.D. thesis, MAE Dept., Princeton University.Google Scholar
  10. O’Rourke, P.J., and Bracco, F.V., 1980, “Modelling of Drop Interactions in Thick Sprays and a Comparison with Experiments,” Publication 1980-9, Institute of Mechanical Engineers, London, England.Google Scholar
  11. Shuen, J.S., Solomon, A.S.P., Zang, Q.-F., and Faeth, G.M., 1985, “Structure of Particle-Laden Jets: Predictions and Measurements,” AIAA J., 23, 396–404.CrossRefGoogle Scholar
  12. Wu, K.-J., Santavicca, D.A., Bracco, F.V., and Coghe, A., 1984, LDV Measurements of Drop Velocity in Diesel-Type Sprays,“ AIAA J., 22, 9.Google Scholar
  13. Wygnanski, I., and Fiedler, H., 1969, “Some Measurements in the Self-Preserving Jet,” Journal of Fluid Mech., 38, 3.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • A. Tomboulides
  • M. J. Andrews
  • F. V. Bracco

There are no affiliations available

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