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Bifurcations in Two-Phase Flames

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Instabilities in Multiphase Flows

Abstract

Ordinary droplet and spray combustion arise, for instance, by injection of a liquid fuel into a hot environment. After injection the liquid fuel eventually breaks up into small droplets that evaporate, ignite and burn. The Diesel engine provides a practical example of such a process. The interaction of droplets and sprays with a gaseous phase are particularly complex, if the gaseous phase is a flame that is self-sustained by gaseous fuel and oxidizer. Such flames are termed “two-phase flames”, and they are the objective of the present study. Suppression of explosion or extinction of fire by water sprays provides practical examples of the occurrence of two-phase flames. The two-phase flames modelled and simulated in the present work are counterflow flames, i. e., flames in a flow field generated by directing two gaseous streams towards each other. One of the gaseous streams carries a combustible fuel-air mixture and the water droplets, the other stream carries a flow of hot combustion products.

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References

  • Abramzon, B. and Sirignano, W. A., 1987. Approximate Theory of a Single Droplet Vaporization in a Convective Field: Effects of Variable Properties, Stefan Flow and Transient Liquid Heating. In Proceedings of the 2nd ASME-JSME Thermal Engineering Joint Conference, volume 1, pages 11-18, Honolulu, Hawaii, March 1987.

    Google Scholar 

  • Chen W. A., Rogg, B., and Bray, K. N. C., 1992. Modelling Laminar Two-Phase Counterflow Flames with Detailed Chemistry and Transport. In Twenty-Fourth Symposium (International) on Combustion, Sydney (Australia), submitted, 1992. The Combustion Institute.

    Google Scholar 

  • Continillo, G. and Sirignano, W. A., 1990. Counterflow Spray Combustion Modeling. Combust Flame, 81:325–340.

    Article  CAS  Google Scholar 

  • Deuflhard, P., 1974. A modified newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Numer. Math., 22:289.

    Article  Google Scholar 

  • Deuflhard, P., Hairer, E. and Zugck, J., 1985. One-step and extrapolation methods for differential-algebraic systems. Technical Report Preprint No. 318, Universität Heidelberg, Sonderforschungsberich 123.

    Google Scholar 

  • Deuflhard, P. and Nowak, U., 1985. Extrapolation integrators for quasilinaer implicit odes. Technical Report Preprint No. 332, Universität Heidelberg, Sonderforschungs-berich 123.

    Google Scholar 

  • García-Ybarra, P. Nicoli, C. and Clavin, P., 1984. Soret and Dilution Effects on Premixed Flames. Combust. Sci. and Tech., 42:87–109.

    Article  Google Scholar 

  • Giovangigli, V. and Smooke, M. D., 1987. Adaptive continuation algorithms with application to combustion problems. Technical Report Report ME-102-87, Yale University.

    Google Scholar 

  • Hirschfelder, J. O. and Curtiss, C. F., 1949. Theory of Propagation of Flames. Part I: General Equations. In Third Symposium on Combustion and Flame and Explosion Phenomena, pages 121-127, Baltimore, 1949. Williams and Wilkins Co.

    Google Scholar 

  • Puri, I. K. and Libby, P. A., 1989. Droplet Behavior in Counterflowing Streams. Combust. Sci. and Tech., 66:267–292.

    Article  CAS  Google Scholar 

  • Puri, I. K. and Libby, P. A., 1991. The Influence of Transport Properties on Droplet Burning. Combust. Sci. and Tech., 76:67–80.

    Article  CAS  Google Scholar 

  • Rogg, B., 1990. Adaptive computational methods for time-dependent problems in combustion engineering. In Pande G. N. and Middleton J., editors, NUMETA 90, Numerical Methods in Engineering, Vol. 2, pages 1129-1140, London-New York, 1990. Elsevier.

    Google Scholar 

  • Rogg, B., 1991. RUN-1DL: A Computer Program for the Simulation of One-Dimensional Chemically Reacting Flows. Technical Report CUED/A-THERMO/TR39, University of Cambridge, Department of Engineering, April 1991.

    Google Scholar 

  • Smooke. M. D., 1983. An Error Estimate for the Modified Newton Method with Application to the Solution of Nonlinear Two-Point Boundary Value Problems. J. Opt. Theory and Appl., 39:pp. 489, 1983.

    Article  Google Scholar 

  • Wang, W. and Rogg, B., 1991. On the Systematical Reduction of Detailed Kinetic Mechanisms. Technical Report CUED/A-THERMO/TR42, University of Cambridge, Department of Engineering, June 1991.

    Google Scholar 

  • Warnatz, J., 1984. Rate Coefficients in the C/H/O/System. In W. C. Gardiner, Jr., editor, Combustion Chemistry, pages 197–360. Springer, New York.

    Chapter  Google Scholar 

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Chen, NH., Rogg, B. (1993). Bifurcations in Two-Phase Flames. In: Gouesbet, G., Berlemont, A. (eds) Instabilities in Multiphase Flows. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1594-8_12

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  • DOI: https://doi.org/10.1007/978-1-4899-1594-8_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1596-2

  • Online ISBN: 978-1-4899-1594-8

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