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The turbulent concentration field of a methane jet

Published online by Cambridge University Press:  19 April 2006

A. D. Birch ,
D. R. Brown ,
M. G. Dodson  and
J. R. Thomas
A. D. Birch
Affiliation:
British Gas Corporation, Research and Development Division, Midlands Research Station, Wharf Lane, Solihull, West Midlands, England B91 2JW
D. R. Brown
Affiliation:
British Gas Corporation, Research and Development Division, Midlands Research Station, Wharf Lane, Solihull, West Midlands, England B91 2JW
M. G. Dodson
Affiliation:
British Gas Corporation, Research and Development Division, Midlands Research Station, Wharf Lane, Solihull, West Midlands, England B91 2JW
J. R. Thomas
Affiliation:
British Gas Corporation, Research and Development Division, Midlands Research Station, Wharf Lane, Solihull, West Midlands, England B91 2JW
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Abstract

Detailed measurements of turbulent concentration parameters in a round free methane jet up to 70 diameters downstream from the jet source are described. The concentration changes were obtained using a Raman spectrometer designed for the measurement of a methane vibrational transition function, and processed using a photon correlator. Mean and fluctuating concentration levels are given, together with the concentration probability density distribution.

A theory for interpreting the statistical aspects of the signal is presented and results are compared with other data from the literature on jets of uniform and non-uniform density. It is shown that the intensity of concentration fluctuations has an asymptotic value of 28·5% in the far field region of the jet. One interesting feature of the data is the deviation from Gaussian statistics along the jet centre-line.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 88 , Issue 3 , 13 October 1978 , pp. 431 - 449
Copyright
© 1978 Cambridge University Press

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References

Antonia, R. A., Prabhu, A. & Stephenson, S. E. 1975 Conditionally sampled measurements in a heated turbulent jet. J. Fluid Mech. 72, 455–480.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, 285–303.Google Scholar
Bedard, G. 1967 Analysis of light fluctuations from photon counting statistics. J. Opt. Soc. Am. 57, 1201–1206.Google Scholar
Bibch, A. D., Brown, D. R., Dodson, M. G., Thomas, J. R. 1975a The determination of gaseous concentration fluctuations using Raman photon correlation spectroscopy. J. Phys. D. Appl. Phys. 8, L 167–170.Google Scholar
Birch, A. D., Brown, D. R. & Thomas, J. R. 1975b Photon correlation spectroscopy and its application to the measurement of turbulence parameters in fluid flows. J. Phys. D. Appl. Phys. 8, 438–447.Google Scholar
Corrsin, S. & Uberoi, M. S. 1949 Further experiments on the flow and heat transfer in a heated turbulent air jet. N.A.C.A. Tech. Note no. 1865.Google Scholar
Dopazo, C. 1975 Probability density function approach for a turbulent axisymmetric heated jet – centreline evolution. Phys. Fluids 18, 397–404.Google Scholar
Fenner, W. R., Hyatt, H. A., Kellam, J. M. & Porto, S. P. S. 1973 Raman cross-sections of some simple gases. J. Opt. Soc. Am. 63, 73–77.Google Scholar
Field, M. A., Gill, D. W., Morgan, B. & Hawksley, P. G. W. 1967 Combustion of pulverised coal. British Coal Utilisation Research Association. Leatherhead, England.Google Scholar
Grant, A. J., Jones, J. M. & Rosenfeld, J. L. J. 1973 Orderly structure and unmixedness in lifted jet diffusion flames. Combustion Institute European Symposium, pp. 548–552. Academic Press.Google Scholar
Hartley, D. L. 1974 Application of laser Raman scattering to the study of turbulence. A.I.A.A. J. 12, 816–821.Google Scholar
Hinze, J. A. 1959 Turbulence. McGraw-Hill. (See also 2nd edn, 1975.)Google Scholar
Jakeman, E. 1973 Photon Correlation and Light Beating Spectroscopy (ed. H. Z. Cummings & E. R. Pike), pp. 75–149. Plenum.CrossRefGoogle Scholar
Long, V. D. 1963 Estimation of the extent of hazardous areas around a vent. 2nd Symposium on Chemical Process Hazards, pp. 6–14.Google Scholar
Mandel, L. 1959 Fluctuations of photon beams: the distribution of the photo-electrons. Proc. Phys. Soc. 74, 233–243.Google Scholar
Meltzer, D. & Manuel, L. 1970 Determination of intensity correlation functions from photo-electric counting distributions. I.E.E.E. J. Quantum Electronics QE-6, 661–668.Google Scholar
Pike, E. R. 1969 Photon statistics. Nuovo Cimento 1, 277–314.Google Scholar
Ribeieo, M. M. & Whitelaw, J. H. 1974 Statistical characteristics of a turbulent jet. Imperial College of Science and Technology Report no. HTS/74/19.Google Scholar
Rosensweig, R. E., Hottel, H. C. & Williams, G. C. 1961 Smoke-scattered light measurements of turbulent concentration fluctuations. Chem. Engng Sci. 15, 111–129.Google Scholar
Shannon, G. E. 1948 A mathematical theory of communication. The Bell System Technical J. 27, no. 3.Google Scholar
Shaughnessy, E. J. & Morton, J. B. 1977 Laser light-scattering measurements of particle concentration in a turbulent jet. J. Fluid Mech. 80, 129–148.Google Scholar
Siddall, J. N. & Diab, Y. 1975 The use in probabalistic design of probability curves generated by maximising the Shannon entropy function constrained by moments. Trans. A.S.M.E., J. Engng Indust. 97, 843–852.Google Scholar
Thbing, M. W. & Newby, M. P. 1953 Combustion length of enclosed turbulent jet flames. 4th Symposium (International) on Combustion, pp. 789–796. Baltimore: Williams & Wilkins.CrossRefGoogle Scholar
Tobin, M. C. 1971 Laser Raman Spectroscopy. John Wiley and Sons, New York.Google Scholar
Venkatakamani, K. S., Tutu, N. K. & Cheveay, R. 1975 Probability distributions in a round heated jet. Phys. Fluids 18, 1413–20.Google Scholar
Widhopf, G. F. & Ledebman, S. 1971 Specie concentration measurements utilising Raman scattering of a laser beam. A.I.A.A. J. 9, 309–316.Google Scholar
Wilson, R. A. M. & Danckwerts, P. V. 1964 Studies in turbulent mixing – II. A hot-air jet. Chem. Engng Sci. 19, 885–895.Google Scholar
Wygnanski, I. & Fiedler, H. 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577–612.Google Scholar