Turbulent Boundary Layer Gas–Solid Flow Based on Two-Fluid Model

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 229)


Motion of Particles in a dilute turbulent boundary layer on a flat wall was simulated numerically. Eulerian-Eulerian two-way coupled model was used. Thermophoretic force and Brownian diffusion effects were investigated on the depositions of fine particles in a turbulent boundary layer. Turbulence closure was achieved by Prandtl’s mixing length model. The set of equations was solved numerically by using finite difference method. Introduced particle diffusion term played a significant role in numerical convergence. The proposed two-fluid approach for evaluating the effect of different forces on small particle deposition from a turbulent flow over a flat plate produced similar finding compared to Lagrangian method and computationally less expensive.


Brownian Deposition Effective viscosity Modeling Particle diffusion Simulation Thermophoresis Two-way coupling 



The author would like to thank his graduate students specially Ms. G. Kermani, Mr. Sh. Shahriari, Mr. R. Gharraei, Mr. M. Dehghan and many others who worked through this research.


  1. 1.
    Achebo JI (2009) Computional analysis of erosion wear rate in a pipe line using the drift flux models based on Eulerian continuum equations. In: Proceedings of the world congress on engineering 2009, vol I, WCE, London, UK, pp 719–721, 1–3 July 2009Google Scholar
  2. 2.
    Bernad SI, Totoream AF, Vinatu VF, Susan-Resiga RF (2010) Particle hemodynamics analysis after coronary angioplasty. In: Proceedings of the world congress on engineering 2010, vol I, WCE, London, UK, pp 583–588, 30 June–2 July 2010Google Scholar
  3. 3.
    Crowe CT, Trout JN (1996) Numerical models for two-phase turbulent flows. Ann Rev Fluid Mech 28:11–43Google Scholar
  4. 4.
    Soo SL (1989) Particulates and continuum: multiphase fluid dynamics, HPCGoogle Scholar
  5. 5.
    Kallio GA, Reeks MW (1989) A numerical simulation of particle deposition in turbulent boundary layers. Int J Multiph Flow 15(3):433–446CrossRefGoogle Scholar
  6. 6.
    Taniere A, Oesterle B, Foucaut JM (1997) Modeling of saltation and turbulence effects in a horizontal gas-solid boundary layer. Part Sci Technol 14:337–350Google Scholar
  7. 7.
    Wang J, Levy EK (2006) Particle behavior in the turbulent boundary layer of a dilute gas-particle flow past a flat plate. Exp Therm Fluid Sci 30:473–483Google Scholar
  8. 8.
    Goren SL (1977) Thermophoresis of aerosol particles in the laminar boundary layer on a flat surface. J Colloid Interface Sci 61:77–85CrossRefGoogle Scholar
  9. 9.
    Jayaraj S (1995) Thermophoresis in laminar flow over cold inclined plates with variable properties. Heat Mass Transf 30:167–173Google Scholar
  10. 10.
    Greenfield C, Quarini G (1998) A Lagrangian simulation of particle deposition in a turbulent boundary layer in the presence of thermpphoresis. Appl Math Model 22:759–771Google Scholar
  11. 11.
    Kroger C, Drossinos Y (2000) A random-walk simulation of thermophoretic particle deposition in a turbulent boundary layer. Int J Multiph Flow 26:1325–1350Google Scholar
  12. 12.
    Slater SA, Leeming AD, Young JB (2003) Particle deposition from two-dimensional turbulent gas flows. Int Multiph Flow 29:721–750Google Scholar
  13. 13.
    He C, Ahmadi G (1998) Particle deposition with thermophoresis in laminar and turbulent duct flows. Aerosol Sci Tech 29:525–546Google Scholar
  14. 14.
    Shahriari Sh, Basirat Tabrizi H (2003) Modeling of turbulent boundary layer of a disperse medium on a flat plate. In: Proceedings of the IASTED2003, international conference, applied simulation and modeling, ACTA Press, 2003, pp 7–12Google Scholar
  15. 15.
    Gharraei R, Basirat Tabrizi H, Esmaeilzadeh E (2004) Prediction of turbulent boundary layer flow of a particulate suspension using \(\kappa -\tau \) model. In: Proceedings of canadian society of mechanical engineers (CSME) 2004 Forum, pp 29–35Google Scholar
  16. 16.
    Shahriari Sh, Basirat Tabrizi H (2007) Two-fluid model simulation of thermophorestic deposition for fine particles in a turbulent boundary layer. ASME-JSME2007 thermal engineering summer heat transfer conference, HT2007-32117, vol 2, 2007, pp 849–854Google Scholar
  17. 17.
    Talbot L, Cheng RK, Schefer RW, Willis DR (1980) Therophoresis of particles in a heated boundary layer. J Fluid Mech 101:737–758Google Scholar
  18. 18.
    Schlichting H (1979) Boundary layer theory. McGraw-Hill, New YorkMATHGoogle Scholar
  19. 19.
    Basirat Tabrizi H, Kermani G (2012) Thermophoresis of particles over flat plate turbulent flow based on two-fluid modeling. In: Proceedings of the world congress on engineering 2012, vol III, WCE, London, UK, pp 1675–1680, 4–6 July 2012Google Scholar
  20. 20.
    Boothroyed RG (1971) Flowing gas-solids suspensions. Chapman and Hall, LondonGoogle Scholar
  21. 21.
    Dehghan M, Basirat Tabrizi H (2012) On near-wall behavior of particles in a dilute turbulent gas-solid flow using kinetic theory of granular flow. Powder Technol 224:273–280Google Scholar

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© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringAmirkabir University of TechnologyTehranIran

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