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Part of the book series: European Consortium for Mathematics in Industry ((ECMI,volume 5))

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Abstract

The ignition of a diffusion flame results from the interaction of transport processes and an exothermic chemical reaction. Diffusion flame ignition by a recirculating flow downstream of a backward-facing step is investigated. Special features of this flow are taken into account. The reaction rate is given by an Arrhenius expression, which introduces a nonlinear contribution to the conservation equations. The activation energy of the chemical reaction is used as large parameter in a singular perturbation approach. A well-defined singularity determines an ignition point yig on the dividing streamline. The influence of the inlet conditions on yi g is investigated. It is shown, that yig is a decreasing function of the entrance velocity. This behaviour is experimentally observed.

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Literature

  1. Beér, J.M.; Chigier, N.A.: Combustion Aerodynamics Reprint Edition. Malabar: Robert E. Krieger Publishing Company 1983

    Google Scholar 

  2. Buckmaster, J.D.; Ludford, G.S.S.: Theory of Laminar Flames, Cambridge: Cambridge University Press 1982

    Book  MATH  Google Scholar 

  3. Carslaw, H.S.; Jaeger, J.C.: Conduction of Heat in Solids. Second Edition. Oxford: Oxford University Press 1959

    Google Scholar 

  4. Cheng, S.I.; Kovitz, A.A.: Theory of Flame Stabilization by a Bluff Body, 7th Symposium (Intern.) on Combustion 692–696 London: Butterworth 1959

    Google Scholar 

  5. Kawamura, T.: The Ignition Front of a Fuel Jet Flame stabilized by a Step. Comb. Flame 22 (1974) 283–288

    Article  Google Scholar 

  6. Konczalla, M.: Ph. D. Thesis, University of Bielefeld, 1989

    Google Scholar 

  7. Linan, A.: The Asymptotic Structure of Counterflow Diffusion Flames for Large Activation Energies. Acta Astronautica, 1 (1974) 1007–1039

    Article  Google Scholar 

  8. Linan, A.; Crespo, A.: An Asymptotic Analysis of Unsteady Diffusion Flames for Large Activation Energies. Comb. Sci. Techn. 14 (1976) 95–117

    Article  Google Scholar 

  9. Meinköhn, D.: Das Zünden und Verlöschen einer autothermen Reaktion in einem porösen Partikel in oxidierender Atmosphäre. Ber. Bunsenges. Phys. Chem. 87 (1983) 992–996

    Google Scholar 

  10. Williams, F.A.: Combustion Theory. Second Edition. Menlo Park: Benjamin/Cummings Publishing Company 1985

    Google Scholar 

  11. Winterfeld, G.: On Processes of Turbulent Exchange behind Flame Holders. 10th Symposium (Intern.) on Combustion 1265–1275 Pittsburgh: The Combustion Institute 1965

    Google Scholar 

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© 1990 B. G. Teubner Stuttgart and Kluwer Academic Publishers

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Konczalla, M. (1990). Diffusion flame ignition by a recirculating flow. In: Manley, J., McKee, S., Owens, D. (eds) Proceedings of the Third European Conference on Mathematics in Industry. European Consortium for Mathematics in Industry, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0629-7_39

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  • DOI: https://doi.org/10.1007/978-94-009-0629-7_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6770-6

  • Online ISBN: 978-94-009-0629-7

  • eBook Packages: Springer Book Archive

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