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Particle-laden turbulent flows: direct simulation and closure models

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Abstract

This paper presents an overview of the state-of-the-art of direct numerical simulation (DNS) and closure models of particle-laden turbulent flows. The paper also shows how the results of direct simulation can be used to improve current closure models of these flows. Particle dispersion in a decaying grid-turbulence is studied using DNS, and the results are compared with the measurements of Snyder and Lumley (1971).

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References

  1. Auton, T. R. The dynamics of bubbles, drops and particles in motion in liquids.Ph.D. Thesis, Cambridge University (1983).

  2. Basset, A. B.:A treatise on hydrodynamics. Dover, N.Y. 2 (1988) 285.

  3. Batchelor, G.K.: Diffusion in a field of homogeneous turbulence.Aust. J. Sci. Res. A2 (1949) 437–450.

    Google Scholar 

  4. Boussinesq, J.: Theorie analytique de la chaleur. Paris 2 (1903) 224.

    Google Scholar 

  5. Chao, B. T.: Turbulent transport behavior of small particles in dilute suspension.Osterr. Ing. Arch. 18 (1964) 7.

    Google Scholar 

  6. Corrsin, S. and Lumley, J. L.: On the equation of motion for a particle in turbulent fluid.Appl. Sci. Res. 6 (1956) 114–116.

    Google Scholar 

  7. Desjonqueres, P., Berlemont, A. and Gouesbet, G.: Lagrangian simulation of turbulence modification in three particle-laden turbulent round jets.Third Joint ASCE/ASME Mechanics Conference, Univ. Calif., San Diego (1989) 7–12.

    Google Scholar 

  8. Elghobashi, S. E. and Abou Arab, T. W.: A two-equation turbulence model for two-phase flows.Phys. Fluids 26 (1983) 931.

    Google Scholar 

  9. Elghobashi, S. E., Abou Arab, T. W., Rizk, M. and Mostafa, A.: Prediction of the particle-laden jet with a two-equation turbulence model.Int. J. Multiphase Flow 10 (1984) 697.

    Google Scholar 

  10. Elghobashi, S. E. and Truesdell, G. C.: Direct simulation of particle dispersion in decaying isotropic turbulence.J. Fluid Mech., submitted, July, 1990.

  11. Elghobashi, S. E. and Truesdell, G. C.: Direct simulation of particle dispersion in grid turbulence and homogeneous shear flows.Bull. Am. Phys. Soc. 34 (1989) 2311.

    Google Scholar 

  12. Elghobashi, S. E. and Truesdell, G. C.: On the interaction between solid particles and decaying turbulence.Eighth Symposium on Turbulent Shear flows, submitted, November, 1990.

  13. Gerz, T., Schumann, U. and Elghobashi, S.: Direct simulation of stably stratified homogeneous turbulent shear flows.J. Fluid Mech. 200 (1989) 563–594.

    Google Scholar 

  14. Gosman, A. D. and Ioanides, E.: Aspects of computer simulation of liquid-fuelled combustors.AIAA 19th Aerospace Sciences Meeting, St. L ouis, MO, Paper no. 81-0323 (1981).

  15. Lumley, J. L.: Some problems connected with the motion of small particles in a turbulent fluid.Ph.D. Thesis, Johns Hopkins University 41 (1957).

  16. Lumley, J. L.: Two-phase and non-newtonian flows.Topics in Physics 12 (1978) 290–324.

    Google Scholar 

  17. Maxey, M. R. and Riley, J. J.: Equation of motion for a small rigid sphere in a nonuniform flow.Phys. Fluids 26 (1983) 883–889.

    Google Scholar 

  18. McLaughlin, J. B.: Aerosol particle deposition in numerically simulated channel flow.Phys. Fluids A1 (1989) 1211–1224.

    Google Scholar 

  19. Oseen, C. W.: Uber die stokes'sche formel, und uber eine verwandte aufgabe in der hydrodynamik.Hydromechanik, Leipzig, 82 (1927) 82.

    Google Scholar 

  20. Reeks, M. W.: On the momentum and energy equations for a dispersed particle flow.Third Joint ASCE/ASME Mechanics Conference, Univ. Calif., San Diego (1989) 13–14.

    Google Scholar 

  21. Riley, J. J. and Patterson, G. S. Jr.: Diffusion experiments with numerically integrated isotropic turbulence.Phys. Fluids 17 (1974) 292.

    Google Scholar 

  22. Snyder, W. H. and Lumley, J. L.: Some measurements of particle velocity autocorrelation functions in a turbulent flow.J. Fluid Mech. 48 (1971) 41.

    Google Scholar 

  23. Squires, K. D. and Eaton, J. K.: Study of the effects of particle loading on homogeneous turbulence using direct numerical simulation.Third Joint ASCE/ASME Mechanics Conference, Univ. Calif., San Diego (1989) 37–44.

    Google Scholar 

  24. Stokes, G. C.: On the effect of the internal friction of fluids on the motion of pendulums.Trans. Camb. Phil. Soc. 9 (1851) 8.

    Google Scholar 

  25. Taylor, G. I.: Diffusion by continuous movement.Proc. Lond. Math. Soc. A20 (1921) 196.

    Google Scholar 

  26. Tchen, C. M.: Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid.Ph.D. Thesis, Delft University, Martinus Nijhoff, The Hague (1947).

    Google Scholar 

  27. Yudine, M. I.: Physical considerations on heavy-particle diffusion.Adv. Geophys. 6 (1959) 185–191.

    Google Scholar 

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  1. Mechanical Engineering Department, University of California, 92717, Irvine, CA, USA

    S. Elghobashi

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Elghobashi, S. Particle-laden turbulent flows: direct simulation and closure models. Appl. Sci. Res. 48, 301–314 (1991). https://doi.org/10.1007/BF02008202

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  • DOI: https://doi.org/10.1007/BF02008202

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