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Conserved scalar probability density functions in a turbulent jet diffusion flame

Published online by Cambridge University Press:  21 April 2006

M. C. Drake ,
R. W. Pitz  and
W. Shyy
M. C. Drake
Affiliation:
General Electric Corporate Research and Development, Schenectady, NY 12301, USA Present address: Physical Chemistry Department, General Motors Research Laboratory, Warren, Michigan, USA.
R. W. Pitz
Affiliation:
General Electric Corporate Research and Development, Schenectady, NY 12301, USA Present address: Department of Mechanical and Materials Engineering, Vanderbilt University, Nashville, TN 37235, USA.
W. Shyy
Affiliation:
General Electric Corporate Research and Development, Schenectady, NY 12301, USA
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Abstract

The first four moments of conserved scalar probability density functions (p.d.f.'s) measured by Raman scattering in an H2 turbulent jet diffusion flame are analysed and compared with those found by Pitts & Kashiwagi (1984) in a non-reacting CH4 jet. The measurements are in good agreement, indicating that heat release and combustion have little effect on p.d.f. shapes. However, the measured p.d.f.'s are not qualitatively similar to the simple forms often assumed in combustion modelling. A three-zone model by Effelsberg & Peters was used to separate the experimental p.d.f.'s into a delta function (non-turbulent zone), a Gaussian (turbulent zone) and the remainder (interface zone). The interface zone contributed as much as 90% of the total p.d.f. in both the H2 flame and the non-reacting CH4 jet. A physical interpretation for the existence of broad interface zones in reacting and non-reacting turbulent jet flows is suggested based upon large-scale structures.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 171 , October 1986 , pp. 27 - 51
Copyright
© 1986 Cambridge University Press

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References

Antonia R. A.1981 Conditional sampling in turbulence measurement. Ann. Rev. Fluid Mech. 13, 131.Google Scholar
Antonia, R. A. & Bilger R. W.1973 A experimental investigation of an axisymmetric jet in a co-flowing air stream. J. Fluid Mech. 61, 805.Google Scholar
Antonia R. A., Prabhu, A. & Stephenson S. E.1975 Conditionally sampled measurements in a heated turbulent jet. J. Fluid Mech. 72, 455.Google Scholar
Becker H. A., Hottel, H. C. & Williams G. C.1967 The nozzle-fluid concentration field of the round, turbulent, free jet. J. Fluid Mech. 30, 285.Google Scholar
Bilger R. W.1982 Molecular transport effects in turbulent diffusion flames at moderate Reynolds number. AIAA J. 20, 962.Google Scholar
Birch A. D., Brown D. R., Dodson, M. G. & Thomas J. R.1978 The turbulent concentration field of a methane jet. J. Fluid Mech. 88, 431.Google Scholar
Chen J. Y., Gouldin, F. C. & Lumley J. L.1985 Second-order modeling of a turbulent non-premixed H2–air jet flame with intermittency and conditional averaging. Presented at The 23rd ASME National Heat Transfer Conference, August 1985, to appear in Combust. Sci. Tech.
Chevray R.1982 Entrainment interface in free turbulent shear flows. Prog. Energy Combust. Sci. 8, 303.Google Scholar
Cobbsin, S. & Kistler A. L.1955 Free-stream boundaries of turbulent flows. NACA Rep. No. 1244.Google Scholar
Dimotakis P. E., Miake-Lye, R. C. & Papantoniou D. A.1983 Structure and dynamics of round turbulent jets. Phys. Fluids 26, 3185.Google Scholar
Drake M. C., Bilger, R. W. & Starner S. H.1982 Raman measurement and conserved scalar modeling in turbulent diffusion flames. Nineteenth Symp. (Intl) on Combustion, p. 459. The Combustion Institute, Pittsburgh.
Drake M. C., Pitz R. W., Lapp M., Fenimore, C. P., Lucht, R. P., Sweeney, D. W. & Laurendeau, N. M. 1984 Measurements of superequilibrium hydroxyl concentrations in turbulent nonpremixed flames using saturated fluorescence. Twentieth Symp. (Intl) on Combustion, p. 327.Google Scholar
Drake M. C., Pitz, R. W. & Lapp M.1986 Laser measurements on nonpremixed H2–air flames for assessment of turbulent combustion models. AIAA J. 24, 905.Google Scholar
Effelsberg, E. & Peters N.1983 A composite model for the conserved scalar PDF. Combust. Flame 50, 351.Google Scholar
Gibson C. H., Friehe, C. A. & McConnell S. O.1977 Structure of sheared turbulent fields. Phys. Fluids 20, S156.Google Scholar
Grandmaison E. W., Rathgeber, D. E. & Becker H. A.1982 Some characteristics of concentration fluctuations in free turbulent jets. Can. J. Chem. Engng 60, 212.Google Scholar
Johnston S. C., Dibble R. W., Schefer R. W., Ashurst, W. T. & Kollmann W.1986 Laser measurements and stochastic simulations of turbulent reacting flows AIAA J. 24, 918.Google Scholar
Kychakoff G., Howe R. D., Hanson R. K., Drake M. C., Pitz R. W., Lapp, M. & Penney C. M.1984 Visualization of turbulent flame fronts with planar laser-induced fluorescence. Science 224, 382.Google Scholar
Larue, J. C. & Libby P. A.1974 Temperature fluctuations in the plane turbulent wake. Phys. Fluids 17, 1956.Google Scholar
Libby P. A., Chigier, N. & LaRue J. C.1982 Conditional sampling in turbulent combustion. Prog. Energy Combust. Sci. 8, 203.Google Scholar
Libby, P. A. & Williams F. A.1980 (eds.) Turbulent Reacting Flows. Springer.
Pitts W. M. & Kashiwagi T.1984 The application of laser-induced Rayleigh light scattering to the study of turbulent mixing. J. Fluid Mech. 141, 391.Google Scholar
Pitz, R. W. & Drake M. C.1986 Intermittency and conditional averaging in a turbulent non-premixed flame by Raman scattering. AIAA J. 24, 815.Google Scholar
Pope S. B.1980 Probability distributions of scalars in turbulent shear flow. In Turbulent Shear Flows, vol. II (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), p. 7. Springer.
Rodi W.1982 Turbulent Buoyant Jets and Plumes. Pergamon.
Saffman P. G.1978 Problems and progress in the theory of turbulence. In Structure and Mechanisms of Turbulence, vol. II (ed. H. Fiedler). Lecture Notes in Physics, vol. 76, p. 278. Springer.
Sreenivasan K. R., Antonia, R. A. & Britz D.1979 Local isotropy and large structures in a heated turbulent jet. J. Fluid Mech. 94, 745.Google Scholar
Starner S. H.1985 Conditional sampling in a turbulent diffusion flame. Combust. Sci. Tech. 42, 283.Google Scholar
Tennekes, H. & Lumley J. L.1972 A First Course in Turbulence, The MIT Press.