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Computation of Conditional Average Scalar Dissipation in Turbulent Jet Diffusion Flames

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Abstract

The modelling of conditional scalar dissipation in locally self-similar turbulent reacting jets is considered. The streamwise dependence in the transport equation of the conserved scalar pdf is represented by a function solely dependent on centreline mixture fraction. This procedure provides a simple model suitable for non-homogeneous flows and ensures positive values for conditional scalar dissipation. It has been tested in pure hydrogen-air jet diffusion flames using a Conditional Moment Closure method with detailed 12species, 23 reactions chemistry. The calculations show good agreement of the averaged scalar dissipation with reference values and the model proves to be superior to previous models based on homogeneous flows if the distribution of the conditional scalar dissipation in mixture fraction space is compared with experimental results. A dependence of NO predictions on the model of conditional scalar dissipation can be observed.

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References

  1. Bilger, R.W., The structure of diffusion flames. Combust. Sci. Tech. 13 (1976) 155–170.

    Google Scholar 

  2. Peters, N., Laminar flamelet concepts in turbulent combustion. In: Twenty-First Symposium (Int'l) on Combustion. The Combustion Institute, The Combustion Institute, Pittsburgh, PA (1986) pp. 1231–1250.

    Google Scholar 

  3. Pope, S.B., PDF methods for turbulent reacting flows. Prog. Energy Combust. Sci. 11 (1985) 119–192.

    Article  MathSciNet  ADS  Google Scholar 

  4. Klimenko, A.Yu., Multicomponent diffusion of various scalars in turbulent flow. Fluid Dyn. 25 (1990) 327–334.

    Article  MATH  Google Scholar 

  5. Bilger, R.W., Conditional moment closure for turbulent reacting flow. Phys. Fluids A 5 (1993) 436–444.

    Article  MATH  ADS  Google Scholar 

  6. Chen, H., Chen, S. and Kraichnan, R.H., Probability distribution of a stochastically advected scalar field. Phys. Rev. Lett. 63 (1989) 2657–2660.

    Article  ADS  Google Scholar 

  7. Girimaji, S.S., On the modelling of scalar diffusion in isotropic turbulence. Phys. Fluids A 4 (1992) 2529–2537.

    Article  MATH  ADS  Google Scholar 

  8. Klimenko, A.Yu., Bilger, R.W. and Roomina, M.R., Some PDF integrals for self-similar turbulent flows. Combust. Sci. Tech. 107 (1995) 403–410.

    Google Scholar 

  9. Klimenko, A.Yu. and Bilger, R.W., Relationship between conserved scalar pdfs and scalar dissipation in turbulent flows. Charles Kolling Research Laboratory Report TN F-100. The University of Sydney (1993).

  10. Klimenko, A.Yu., Personal communication (1996).

  11. Kent, J.H. and Bilger, R.W., Turbulent diffusion flames. In: Fourteenth Symposium (Int'l) on Combustion. The Combustion Institute, Pittsburgh, PA (1973) pp. 615–625.

    Google Scholar 

  12. Kuznetsov, V.R. and Sabel'nikov, V.A., Turbulence and Combustion. Hemisphere, New York (1989).

    Google Scholar 

  13. Smith, N.S.A., Bilger, R.W., Carter, C.D., Barlow, R.S. and Chen, J.-Y., A comparison of CMC and PDF modelling predictions with experimental nitric oxide LIF/Raman measurements in a turbulent H 2 jet flame. Combust. Sci. Tech. 105 (1995) 357–375.

    Google Scholar 

  14. Klimenko, A. Yu., Note on the conditional moment closure in turbulent shear flows. Phys. Fluids 7 (1995) 446–448.

    Article  MATH  ADS  Google Scholar 

  15. Swaminathan, N., Personal communication (1996).

  16. Barlow, R.S. and Carter, C.D., Raman/Rayleigh/LIF measurements of nitric oxide formation in turbulent hydrogen jet flames. Combustion and Flame 97 (1994) 261–280.

    Article  Google Scholar 

  17. Stårner, S.H., Bilger, R.W., Long, M.B., Frank, J.H. and Marran, D.F., Scalar dissipation measurements in turbulent jet diffusion flames of air diluted methane and hydrogen.Combust. Sci. Tech. 129 (1996) 141–163.

    Google Scholar 

  18. Bilger, R.W., Conditional moment closure modelling and advanced laser measurements. In: Takenko, T. (ed.), Turbulence and Molecular Processes in Combustion, Elsevier Science Publishers, Amsterdam (1993) pp. 267–285.

    Google Scholar 

  19. Kronenburg, A., Bilger, R.W. and Kent, J.H., Second order conditional moment closure for turbulent jet diffusion flames. In: Twenty-Seventh (Int'l) Symposium on Combustion. The Combustion Institute, Pittsburgh, PA (1998) pp. 1097–1104.

    Google Scholar 

  20. Barlow, R.S., Sandia H2/He flame data-release 1.1 (http://www.ca.sandia.gov/tdf/DatDnld.html) (1997).

  21. Kronenburg, A and Bilger, R.W., Modelling differential diffusion in nonpremixed reacting turbulent flow. Combust. Sci. Tech. (1999) submitted.

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Authors and Affiliations

  1. Department of Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW, 2006, Australia

    A. Kronenburg, R.W. Bilger & J.H. Kent

Authors
  1. A. Kronenburg
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  2. R.W. Bilger
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  3. J.H. Kent
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Kronenburg, A., Bilger, R. & Kent, J. Computation of Conditional Average Scalar Dissipation in Turbulent Jet Diffusion Flames. Flow, Turbulence and Combustion 64, 145–159 (2000). https://doi.org/10.1023/A:1009912404132

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