Skip to main content
SpringerLink
Log in

The method of fractional steps applied to laminar flat flame calculations

  • Published:
Forschung im Ingenieurwesen A Aims and scope Submit manuscript

Abstract

The premixed, freely propagating, steady, laminar, flat flames are solved by a relaxation method. For solution of the unsteady species conservation equations, the method of fractional steps is used. In this method the differential equations for the conservation of the species are split up into two parts, a reaction part and a diffusive convective part which are solved separately and then superposed. The method is used to solve a methane-oxygen flame and compared to the solution of a standard method. In addition the time step behaviour of both the methods are examined and compared to each other.

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. F.A. Williams: Combustion theory. Palo Alto: Addison-Wesley 1965.

    Google Scholar 

  2. D.B. Spalding andP.L. Stephenson: The laminar flame propagation in hydrogen-bromine mixtures. Proc. Roy. Soc. A. 324, 315 (1971).

    Google Scholar 

  3. N. Peters andJ. Warnatz: Numerical methods in laminar flame propagation (A GAMM-Workshop). Baun-schweig/Wiesbaden Vieweg 1982.

    MATH  Google Scholar 

  4. A.C. Hindemarsh: Gear: Ordinary differential equation system solver. Lawrence Livermore Laboratory, Report UCID-30001 (1974).

  5. D.B. Spalding: Theory of flame phenomena with a chain reaction. Phil. Trans. Roy. Soc. London A, 249, 1 (1956).

    Google Scholar 

  6. J. Warnatz: Berechnung der Flammengeschwindigkeit und der Struktur von laminaren flachen Flammen. Habilitationsschrift Darmstadt 1977.

  7. N.N. Janenko: Die Zwischenschrittmethode zur Lösung mehrdimensionaler Probleme der mathematischen Physik. Heidelberg: Springer 1969.

    Google Scholar 

  8. J. Warnatz: Hydrocarbon oxidation at high temperatures. Ber. D. Bunsenges. Phys. Chem. 87, 1008 (1983).

    Google Scholar 

  9. P. Roth andTh. Just: Kinetic of high temperature, low concentration CH4, oxidation. 20th Symp, (Int) on Combustion, p. 807. The Combustion Institute, Pittsburgh 1985.

    Google Scholar 

  10. J. Warnatz: Flame velocity and structure of laminar hydrocarbon-air flames. Prog. Astr. and Aero. 76 (1979) p. 501.

    Google Scholar 

  11. D.L. Baulch, D.D. Drysdale, D.G. Horne andA.C. Lloyd: Evaluated kinetic data for high temperature reactions, Vol. 1. London: Butterworths 1972.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachgebiet Verbrennung und Gasdynamik der Universität Duisburg, Duisburg, Germany

    Dieter Kaufmann &  Paul Roth

Authors
  1. Dieter Kaufmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Paul Roth
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kaufmann, D., Roth, P. The method of fractional steps applied to laminar flat flame calculations. Forsch Ing-Wes 53, 113–117 (1987). https://doi.org/10.1007/BF02558724

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02558724

Keywords

Search

Navigation