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Mixing Models for Turbulent Flows with Exothermic Reactions

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Turbulent Shear Flows 7

Abstract

The potential influence of age-biased sampling for mixing as suggested by Pope (1982) was investigated for turbulent reacting and nonreacting jet flows with a modified coalescence/dispersion (C/D) model. Age-biased sampling is found to have little influence on the predicted scalar statistics up to fourth moments. To account for the combined effects of mixing and chemical reaction on the joint probability density function (pdf), the modified C/D model is further improved by conditioning the mixing process on the existence of the reaction zone. Monte Carlo simulation of turbulent reacting jet flames with an ideal flame-sheet chemical model demonstrates that the proposed model is capable of predicting physically correct results in the flame-sheet combustion regime.

Research supported by the United States Department of Energy, Office of Basic Energy Sciences, Division of Chemical Sciences.

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References

  • Chen, J.-Y., Kollmann, W. (1988): Pdf modeling of chemical nonequilibrium effects in turbulent nonpremixed hydrocarbon flames. Twenty-second Symposium (International) on Combustion/The Combustion Institute, p. 645

    Google Scholar 

  • Chen, J.-Y., Kollmann, W. (1989): Chemical models for pdf modeling of hydrogen-air nonpremixed turbulent flames. Combust. Flame, accepted for publication

    Google Scholar 

  • Chen, J.-Y., Kollmann, W., Dibble, R. W. (1989): Pdf modeling of turbulent non-premixed methane jet flames. Combust. Sci. Tech. 64, 315

    Article  Google Scholar 

  • Correa, S. M., Gulati, A., Pope, S. B. (1988): Assessment of a partial equilibrium/Monte Carlo Model for turbulent syngas flames. Combust. Flame, 72, 159

    Article  Google Scholar 

  • Curl, R. L. (1963): Dispersed phase mixing: I. Theory and effects of simple reactors. A.I.Ch.E.J. 9, 175

    Google Scholar 

  • Haworth, D. C., Drake, M. C., Pope, S. B., Blint, R. J. (1988): The importance of time-dependent flame structures in stretched laminar flamelet models for turbulent jet diffusion flames. Twienty-second Symposium (International) on Combustion/The Combustion Institute, p. 589

    Google Scholar 

  • Janicka, J., Kolbe, W., Kollmann, W. (1979): Closure of the transport equation for the probability density function scalar field. J. Non-Equilib. Thermodyn. 4, 47

    Article  ADS  MATH  Google Scholar 

  • Kosaly, G. (1986): Theoretical remarks on a phenomenological model of turbulent mixing. Combust. Sci. Tech. 49, 227

    Article  Google Scholar 

  • Kosaly, G., Givi, P. (1987): Modeling of turbulent molecular mixing. Combust. Flame 70, 101

    Article  ADS  Google Scholar 

  • Pope, S. B. (1982): An improved turbulent mixing model. Combust. Sci. Tech. 28, 131

    Article  ADS  Google Scholar 

  • Pope, S. B., Correa, S. M. (1986): Joint pdf calculations of a nonequilibrium turbulent diffusion flame. Twenty-first Symposium (International) on Combustion/The Combustion Institute, p. 1341

    Google Scholar 

  • Pope, S. B., Norris, A., Masri, A. R. (1989): Mixing models for turbulent diffusion flames with finite rate kinetics, presented at the Twelfth Meeting of the Sandia Cooperative Group on the Aerothermochemistry of Turbulent Combustion, Sandia Report SAND89-8220

    Google Scholar 

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© 1991 Springer-Verlag Berlin Heidelberg

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Chen, JY., Kollmann, W. (1991). Mixing Models for Turbulent Flows with Exothermic Reactions. In: Durst, F., Launder, B.E., Reynolds, W.C., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76087-7_21

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  • DOI: https://doi.org/10.1007/978-3-642-76087-7_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76089-1

  • Online ISBN: 978-3-642-76087-7

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