Skip to main content
SpringerLink
Log in

A lagrangian based scalar pdf method for turbulent combustion models

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

In this paper, a new “presumed” Probability Density Function (PDF) approach coupled with a Lagrangian tracking method is proposed for turbulent combustion modeling. The test and the investigation of the model are conducted by comparing the model results with DNS data for a premixed flame subjected in a decaying turbulent field. The newly constructed PDF, which incorporates the instantaneous chemical reaction term, demonstrates consistent improvement over conventional assumed PDF models. It has been found that the time evolution of the mean scalar, the variance and the mean reaction rate are strongly influenced by a parameter deduced by a Lagrangian equation which takes into account explicitly the local reaction rate. Tests have been performed for a moderate Damköhler number, and it is expected the model may cover a broader range of Damköhler number. The comparison with the DNS data demonstrates that the proposed model may be promising and affordable for implementation in a moment-equation solver.

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

  • Borghi, R., 1985, “On the structure and morphology of turbulent premixed flames,” Recent Advances in the Aerospace Sciences, C. Casci Ed.), Plenum Publishing Corporation, pp. 117–138

  • Borghi, R., 1988, “Turbulent Combustion Modelling,”Prog. Energy Combust. Sci., Vol. 14, pp. 245–292.

    Article  Google Scholar 

  • Durand, P., Gorokhovski, M. and Borghi, R., 1996, “The PDF equation approach to diesel spray evaporation computation,”SA E Technical Pper Series, (960632), February.

  • Girimaji, S. S., 1991, “Assumed b-pdf model for turbulent mixing: validation and extension to multiple scalar mixing,”Combust. Sci. Technol., Vol.78, pp. 177–196.

    Article  Google Scholar 

  • Gonzalez, M., 1986, “Contribution a la simulation numerique d’ecoulements avec combustion,”These de Doctorat, Universite de Rouen, France.

    Google Scholar 

  • Jones, W. P. and Whitelaw, J. H., 1982, “Calculation methods for reacting turbulent flows: A review,”Combust. Flame, Vol. 48:1, pp. 1–26.

    Article  Google Scholar 

  • Kim, S. K., Lee, J. K., Kim, Y. M. and Ahn, J. H., 2002, “Numerical modeling of combustion processes and pollutant formations in direct injection diesel engines,”KSME International Journal, Vol. 16 No. 7, pp. 1009–1018.

    Article  Google Scholar 

  • Lockwood, and Naguib, 1975, “The Prediction of the Fluctuations in the Properties of Free Round-Jet Turbulent Diffusion Flame,”Combust. Flame, Vol. 24, pp. 109–124.

    Article  Google Scholar 

  • Mao, Toor, 1960, “A Diffusion Model for Reactions with Turbulent Mixing,”AICHE Jl., Vol. 16, pp. 49–52.

    Article  Google Scholar 

  • Moon, H. J., Picart, A. and Borghi, R., 1992, “Direct Numerical Simulation to test Some Models of Premixed Reacting Turbulent Homogeneous and Isotropic Flows,”8 th Symposium of Turb. Shear Flows, Munich.

  • Moon, H. J., 1991, “Modeies de Combustion Turbulente Appliques a L’autoinflammation: Comparaisons avec la Simulation Numerique Directe,”These de Doctorat, Universite de Rouen, France.

    Google Scholar 

  • Pope, S. B., 1981, “Transport equation for the joint probability density function of velocity and scalars in turbulent flows,”Phys. Fluids, Vol. 24, No. 4, pp. 588–596.

    Article  MathSciNet  Google Scholar 

  • Pope, S. B. and Anand, M. S., 1984,“Flamelet and distributed combustion in premixed turbulent flames,”Twentieth Symposium (International) on Combustion, Ann Arbor.

  • Rhodes, R. P. and Harsha, P. T., 1972, “On putting the “turbulent” in turbulent reacting flow,”AIAA Paper, No. 72., 10th Aerospace Science Meeting, San Diego, California.

  • Said, R. and Borghi, R., 1988, “A Simulation with a Cellular Automaton for Turbulent Combustion Modelling,”Twenty second Symposium international) on Combustion, The Combust. Inst., pp. 569–577.

  • Toor, H. L., 1962, “Mass transfer in dilute turbulent and non turbulent systems with rapid irreversible reactions and equal diffusivities.AICHE Jl., Vol. 8, pp. 70–78.

    Article  Google Scholar 

  • Yamazaki, K. and Ichigawa, A., 1970,Intl. Chem. Eng., Vol. 10, pp. 471–478.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Aerospace and Mechanical Engineering, Hankuk Aviation University, 200-1 Hwajeon-dong, Duckyang-gu, Koyang-shi, 412-791, Kyungki-do, Korea

    Hee-Jang Moon

  2. IRPHE-UMR 6594 CNRS, ESM2 Technopole de Chateau Gombert, 13451 Marseille, 20, Cedex, France

    Roland Borghi

Authors
  1. Hee-Jang Moon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Roland Borghi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hee-Jang Moon.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moon, HJ., Borghi, R. A lagrangian based scalar pdf method for turbulent combustion models. KSME International Journal 18, 1470–1478 (2004). https://doi.org/10.1007/BF02984260

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02984260

Key Words

Search

Navigation