Skip to main content

Ends of Laminar Flamelets: Their Structure, Behaviour and Implications

  • Chapter
Nonlinear PDE’s in Condensed Matter and Reactive Flows

Part of the book series: NATO Science Series ((ASIC,volume 569))

  • 569 Accesses

Abstract

This article attempts to offer a broader interpretation of the nature and role of laminar flamelets than is usually considered. In particular, when such flamelets have multiple solutions, as is commonly the case, it is possible to predict some interesting structures and important dynamical interactions between different possible types of flamelet.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bilger, R.W.: 1989, Turbulent diffusion flames, Ann. Rev. Fluid Mech. 21, 101–135.

    Article  MathSciNet  Google Scholar 

  2. Burke, S.P., Schumann, T.E.W.: 1928, Diffusion flames, 1st Symposium (Int.) on Combustion, The Combustion Institute, 2–11.

    Google Scholar 

  3. Dold, J. W.: 1989, Flame propagation in a non-uniform mixture: analysis of a slowly-varying triple-flame, Combustion and Flame 76, 71–88.

    Article  Google Scholar 

  4. Dold, J.W., Hartley, L.J. Green, D.: 1991, Dynamics of laminar triple-flamelet structures in non-premixed turbulent combustion, Dynamical Issues in Combustion Theory, P.C. Fife, A.A. Liñán and F. A. Williams, IMA Volumes in Mathematics and its Applications 35, 83–105, Springer Verlag.

    Google Scholar 

  5. Fife, P.C.: 1988, Dynamics of internal layers and diffusive interfaces, SIAM, Philadelphia.

    Book  Google Scholar 

  6. Green, D., Dold, J.W., Hartley, L. J.: Modelling and simulation of the dynamics of ‘holes’ in diffusion flames subjected to random strain, Archivum Combustionis 12, 91–107.

    Google Scholar 

  7. Hartley, L.J., Dold, J.W.: 1991, Flame propagation in a nonuniform mixture: analysis of a propagating triple-flame, Comb. Sci. Tech. 80, 23–46.

    Article  Google Scholar 

  8. Liñán, A.A.: 1974, The asymptotic structure of counterflow diffusion flames for large activation energies, Acta Astronautica 1, 1007–1039.

    Article  Google Scholar 

  9. Peters, N.: 1983, Local quenching due to flame stretch and non-premixed turbulent combustion, Comb. Sci. Tech. 30, 1–17.

    Article  Google Scholar 

  10. Peters, N.: 1986, Laminar flamelet concepts in turbulent combustion, 21st Symposium (Int.) on Combustion, The Combustion Institute, 1231–1250.

    Google Scholar 

  11. Phillips, H.: 1965, Flame in a buoyant methane layer, 10th Symposium (Int.) on Combustion, The Combustion Institute, 1277–1283.

    Google Scholar 

  12. Thatcher, R.W, Dold, J.W.: 2000, Edges of flames that don’t exist, IMA preprint 1683, IMA, Minneapolis. Submitted to Combustion Theory and Modelling.

    Google Scholar 

  13. Williams, F.A.: 1985, Combustion theory, 2nd ed., Benjamin-Cummings, California.

    Google Scholar 

  14. Zeldovich, Ya.B.: 1980, Regime classification of an exothermic reaction with nonuniform initial conditions, Combustion and Flame 39, 211–214.

    Article  Google Scholar 

  15. Zeldovich, Ya.B., Barenblatt, G.I., Librovich, V.B. Makhviladze, G.M.: 1985, The mathematical theory of combustion and explosions, Consultants Bureau, New York.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Dold, J.W. (2002). Ends of Laminar Flamelets: Their Structure, Behaviour and Implications. In: Berestycki, H., Pomeau, Y. (eds) Nonlinear PDE’s in Condensed Matter and Reactive Flows. NATO Science Series, vol 569. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0307-0_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0307-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0973-0

  • Online ISBN: 978-94-010-0307-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics