Skip to main content
SpringerLink
Log in

Large-Eddy Simulation of Dispersion from Line Sources in a Turbulent Channel Flow

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

Large-eddy simulations of the dispersion from scalar line sources at various locations within a fully developed turbulent channel flow at Re = uh/ν = 10,400 are presented. Both mean and fluctuating scalar quantities are compared with those from the single available set of experimental data (Lavertu and Mydlarski, J Fluid Mech 528:135–172, 2005) and differences are highlighted and discussed. The results are also discussed in the context of scalar dispersion in other kinds of turbulent flows, e.g. homogeneous shear-flow. Initial computations at a much lower Reynolds number are also reported and compared with the two available direct numerical simulation data sets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Anand, M., Pope, S.B.: Diffusion behind a line source in grid turbulence. In: Bradbury, L.J.S., Durst, F., Launder, B.E., Schmidt, F.W., Whitelaw, J.H. (eds.) Turbulent Shear Flows, vol. 4, pp. 46–61. Springer, New York (1985)

    Chapter  Google Scholar 

  2. Bakosi, J., Franzese, P., Boybeyi, Z.: Probability density function modeling of scalar mixing from concentrated sources in turbulent channel flow. Phys. Fluids 19, 115106 (2007). doi:10.1063/1.2803348

    Article  Google Scholar 

  3. Bernard, P.S., Rovelstad, A.L.: On the physical accuracy of scalar transport modeling in inhomogenous turbulence. Phys. Fluids 6(9), 3093–3108 (1994)

    Article  MATH  Google Scholar 

  4. Boppana, V.B.L., Xie, Z.T., Castro, I.P.: Large-eddy simulation of dispersion from surface sources in arrays of obstacles. Boundary - Layer Meteorol. 135(3), 433–454 (2010)

    Article  Google Scholar 

  5. Brethouwer, G., Nieuwstadt, F.T.M.: DNS of mixing and reaction of two species in a turbulent channel flow: a validation of the conditional moment closure. Flow Turbul. Combust. 66, 209–239 (2001)

    Article  MATH  Google Scholar 

  6. Brethouwer, G., Boersma, B.J., Pourquié, M.B.J.M., Nieuwstadt, F.T.M.: Direct numerical simulation of turbulent mixing of a passive scalar in pipe flow. Eur. J. Mech. B., Fluids 18, 739–756 (1999)

    Article  MATH  Google Scholar 

  7. Brown, R.J., Bilger, R.W.: An experimental study of a reactive plume in grid turbulence. J. Fluid Mech. 312, 373–407 (1996)

    Article  Google Scholar 

  8. Cho, M.S., Chung, M.K.: Application of a reynolds stress/heat flux model to the turbulent thermal dispersion behind a line heat source in a uniformly sheared flow. Numer. Heat Transf., A, Appl. 32(7), 715–732 (1997)

    Article  Google Scholar 

  9. Costa-Patry, E., Mydlarski, L.: Mixing of two thermal fields emitted from line sources in turbulent channel flow. J. Fluid Mech. 609, 349–375 (2008)

    Article  MATH  Google Scholar 

  10. Fabregat, A., Pallarès, J., Cuesta, I., Grau, F.X.: Dispersion of a buoyant plume in a turbulent pressure-driven channel flow. Int. J. Heat Mass Transfer 52, 1827–1842 (2009)

    Article  MATH  Google Scholar 

  11. Fackrell, J.E., Robins, A.G.: Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer. J. Fluid Mech. 117, 1–26 (1982)

    Article  Google Scholar 

  12. Iliopoulos, I., Hanratty, T.J.: Turbulent dispersion in a non-homogenous field. J. Fluid Mech. 392, 45–71 (1999)

    Article  MATH  Google Scholar 

  13. Iwamoto, K.: Database for Fully Developed Channel Flow. THTLAB Internal Report (ILR-0201), Dept Mech Eng, Univ Tokyo DNS database (CH12_PGWL7). http://www.thtlab.t.u-tokyo.ac.jp/ (2002)

  14. Karnik, U.A., Tavoularis, S.: Measurements of heat diffusion from a continuous line source in a uniformly sheared turbulent flow. J. Fluid Mech. 202, 233–261 (1989)

    Article  Google Scholar 

  15. Kim, J., Moin, P., Moser, R.D.: Turbulence statistics in fully developed channel flow at low reynolds number. J. Fluid Mech. 177, 133–166 (1987)

    Article  MATH  Google Scholar 

  16. Kyong, N.H., Chung, M.K.: Turbulent scalar transport correlation behind a line heat source in a uniform shear flow. Korean Soc. Mech. Eng. J. 1(2), 95–100 (1987)

    Google Scholar 

  17. Lavertu, R.A., Mydlarski, L.: Scalar mixing from a concentrated source in turbulent channel flow. J. Fluid Mech. 528, 135–172 (2005)

    Article  MATH  Google Scholar 

  18. Liu, C.H., Barth, M.C.: Large-eddy simulation of flow and scalar transport in a modeled street canyon. J. Appl. Meteorol. 41, 660–673 (2002)

    Article  Google Scholar 

  19. Livescu, D., Jaberi, F.A., Madnia, C.K.: Passive-scalar wake behind a line source in grid turbulence. J. Fluid Mech. 416, 117–149 (2000)

    Article  MATH  Google Scholar 

  20. Mole, N., Schopflocher, T.P., Sullivan, P.J.: High concentrations of a passive scalar in turbulent dispersion. J. Fluid Mech. 604, 447–474 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  21. Moser, R.D., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to Re = 590. Phys. Fluids 11(4), 943–945 (1999)

    Article  MATH  Google Scholar 

  22. Shah, K.B.: Large Eddy Simulations of Flow Past a Cubic Obstacle. Dissertation, Stanford University (1998)

  23. Shraiman, B.I., Siggia, E.D.: Scalar turbulence. Nature 405, 639–646 (2000)

    Article  Google Scholar 

  24. Sreenivasan, K.R.: On local isotropy of passive scalars in turbulent shear flows. Proc. R. Soc. Lond. Ser. A 434, 165–182 (1991)

    Article  MATH  Google Scholar 

  25. STAR-CD: CD–Adapco’s CCM User Guide, STAR–CD Version 4.08 (2009)

  26. Sykes, R.I., Henn, D.S.: Large-eddy simulation of concentration fluctuations in a dispersing plume. Atmos. Environ. 26A(17), 3127–3144 (1992)

    Google Scholar 

  27. Thomson, D.J.: A stochastic model for the motion of particle pairs in isotropic high-reynolds-number turbulence, and its application to the problem of concentration variance. J. Fluid Mech. 210, 113–153 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  28. Tong, C., Warhaft, Z: Passive scalar dispersion and mixing in a turbulent jet. J Fluid Mech 292, 1–38 (1995)

    Article  Google Scholar 

  29. Townsend, A.A.: The diffusion behind a line source in homogenous turbulence. Proc. R. Soc. Lond. Ser. A 224, 487–512 (1954)

    Article  MATH  Google Scholar 

  30. Viswanathan, S., Pope, S.B.: Turbulent dispersion from line sources in grid turbulence. Phys. Fluids 20, 101514 (2008). doi:10.1063/1.3006069

    Article  Google Scholar 

  31. Vrieling, A.J., Nieuwstadt, F.T.M.: Turbulent dispersion from nearby point sources–interference of the concentration statistics. Atmos. Environ. 37, 4493–4506 (2003)

    Article  Google Scholar 

  32. Walton, A., Cheng, A.Y.S.: Large-eddy simulation of pollution dispersion in an urban street canyon—Part II: idealised canyon simulation. Atmos. Environ. 36, 3615–3627 (2002)

    Article  Google Scholar 

  33. Wang, Y., Komori, S.: Application of a second-moment closure model to simulate the turbulent dispersion from an elevated line source. Heat Mass Transf. 34, 429–436 (1999)

    Article  Google Scholar 

  34. Warhaft, Z.: The interference of thermal fields from line sources in grid turbulence. J. Fluid Mech. 144, 363–387 (1984)

    Article  Google Scholar 

  35. Warhaft, Z.: Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32, 203–240 (2000)

    Article  MathSciNet  Google Scholar 

  36. Xie, Z.T., Castro, I.P.: LES and RANS for turbulent flow over arrays of wall-mounted cubes. Flow Turbul. Combust. 76, 291–312 (2008)

    Article  Google Scholar 

  37. Xie, Z.T., Castro, I.P.: Large-eddy simulation for flow and dispersion in urban streets. Atmos. Environ. 43(13), 2174–2185 (2009)

    Article  Google Scholar 

  38. Xie, Z.T., Hayden, P., Voke, P.R., Robins, A.G.: Large-eddy simulation of dispersion: comparison between elevated and ground-level sources. J. Turbul. 5(31), 1–16 (2004)

    Google Scholar 

  39. Xie, Z.T., Hayden, P., Robins, A.G., Voke, P.R.: Modelling extreme concentration from a source in a turbulent flow over rough wall. Atmos. Environ. 41(16), 3395–3406 (2007)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Engineering Sciences, University of Southampton, Southampton, UK

    Venkata Bharathi L. Boppana, Zheng-Tong Xie & Ian P. Castro

Authors
  1. Venkata Bharathi L. Boppana
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zheng-Tong Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ian P. Castro
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Venkata Bharathi L. Boppana.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boppana, V.B.L., Xie, ZT. & Castro, I.P. Large-Eddy Simulation of Dispersion from Line Sources in a Turbulent Channel Flow. Flow Turbulence Combust 88, 311–342 (2012). https://doi.org/10.1007/s10494-011-9356-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-011-9356-x

Keywords

Search

Navigation