Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-19T06:54:16.907Z Has data issue: false hasContentIssue false

Mixing at large Schmidt number in the self-similar far field of turbulent jets

Published online by Cambridge University Press:  26 April 2006

Werner J. A. Dahm
Affiliation:
Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA Present address: Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, USA.
Paul E. Dimotakis
Affiliation:
Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA

Abstract

We present results from an experimental investigation of turbulent transport and molecular mixing of a Sc [Gt ] 1 conserved scalar in the fully developed self-similar far field of a steady, axisymmetric, momentum-driven, free turbulent jet issuing into a quiescent medium. Our experiments cover the axial range from the jet exit to 350 diameters downstream, and span the range of Reynolds numbers from 1500 to 20000. Flow visualizations of the scalar concentration field directly verify the presence of an underlying characteristic large-scale organization in the jet far field essentially consistent with a simplified conceptual picture proposed in an earlier study (Dahm & Dimotakis 1987). High-resolution imaging measurements of successive instantaneous scalar concentration profiles in the jet support the presence of such a large-scale organization and provide details of its implications for mixing. These results also establish the proper similarity scaling for the mean concentration in the jet far field and give the scaling constant on the jet centreline as 5.4. We also present conserved scalar concentration p.d.f.s throughout the jet far field, and introduce a chemical reaction method for measuring the p.d.f.s with potentially molecular resolution. The amount of unmixed ambient fluid that reaches the jet centreline is found to decrease with increasing Reynolds number over the range investigated. The distribution of mixed fluid compositions in the concentration p.d.f. also appears to change over this range of Reynolds numbers, indicating that some aspects of large Schmidt number mixing in the jet far field have not yet become Reynolds number independent.

Type
Research Article
Copyright
© 1990 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Antonia, R. A., Prabhu, A. & Stephenson, S. E. 1975 Conditionally sampled measurements in a heated turbulent jet. J. Fluid Mech. 72, 455480.Google Scholar
Avery, J. F. & Faeth, G. M. 1974 Combustion of a submerged gaseous oxidizer jet in a liquid metal. In Proc. 15th Intl Symp. on Combustion, pp. 502255. The Combustion Institute.
Beavers, G. S. & Wilson, T. A. 1970 Vortex growth in jets. J. Fluid Mech. 44, 97112.Google Scholar
Becker, H. A., Hottel, H. C. & Williams, G. C. 1967 The nozzle-fluid concentration field of the round turbulent jet. J. Fluid Mech. 30, 285303.Google Scholar
Becker, H. A. & Liang, D. 1978 Visible lengths of vertical free turbulent diffusion flames. Combust. Flame 33, 115137.Google Scholar
Becker, H. A. & Massaro, T. A. 1968 Vortex evolution in a round jet. J. Fluid Mech. 31, 435448.Google Scholar
Becker, H. A. & Yamazaki, S. 1978 Entrainment, momentum flux and temperature in vertical free turbulent diffusion flames. Combust. Flame 33, 123149.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, 431449.Google Scholar
Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1964 Turbulence in the noise-producing region of a circular jet. J. Fluid Mech. 19, 591624.Google Scholar
Breidenthal, R. E. 1981 Structure of turbulent mixing layers and wakes using a chemical reaction. J. Fluid Mech. 109, 124.Google Scholar
Broadwell, J. E. 1987 A model for reactions in turbulent jets: Effects of Reynolds, Schmidt, and Damköhler numbers. In Proc. US—France Joint Workshop on Turbulent Reactive Flows; also AFOSR Rep. AFOSR-83–0213.
Broadwell, J. E. & Mungal, M. G. 1986 The effects of Damköhler number in a turbulent shear layer. In Proc. 22nd Intl Symp. on Combustion, pp. 579255. The Combustion Institute.
Brown, G. L. & Roshko, A. 1971 The effect of density difference on the turbulent mixing layer. In Turbulent Shear Flows. AGARD-CP-93, pp. 23.112.
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Chen, C. J. & Rodi, W. 1980 Vertical Turbulent Buoyant Jets: A Review of Experimental Data. Pergamon.
Chevray, R. & Tutu, N. K. 1978 Intermittency and preferential transport of heat in a round jet. J. Fluid Mech. 88, 133160.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.Google Scholar
Dahm, W. J. A. 1985 Experiments on entrainment, mixing and chemical reactions in turbulent jets at large Schmidt number. Ph.D. thesis, Caltech.
Dahm, W. J. A. & Buch, K. A. 1989 High resolution three-dimensional (2563) spatio-temporal measurements of the conserved scalar field in turbulent shear flows. In Proc. 7th Symp. on Turb. Shear Flows, vol. 1, pp. 14.1.114.1.6; to appear in Turbulent Shear Flows 7. Springer, 1990.
Dahm, W. J. A. & Dibble, R. W. 1988 Coflowing turbulent jet diffusion flame blowout. In Proc. 22nd Intl Symp. on Combustion, pp. 801255. The Combustion Institute.
Dahm, W. J. A. & Dimotakis, P. E. 1987 Measurements of entrainment and mixing in turbulent jets. AIAA J. 25, 12161223; also AIAA Paper 85–0056. (Referred to herein as [I].)Google Scholar
Dahm, W. J. A., Dimotakis, P. E. & Broadwell, J. E. 1984 Nonpremixed turbulent jet flames. AIAA paper 840369.Google Scholar
Dibble, R. W., Kollman, W. & Schefer, R. W. 1984 Conserved scalar fluxes measured in a turbulent nonpremixed flame by combined laser Doppler velocimetry and laser Raman scattering. Combust. Flame 55, 307321.Google Scholar
Dimotakis, P. E., Broadwell, J. E. & Howard, R. D. 1983a Chemically reacting turbulent jets. AIAA paper 830474.Google Scholar
Dimotakis, P. E. & Brown, G. L. 1976 The mixing layer at high Reynolds number: large structure dynamics and entrainment. J. Fluid Mech. 78, 535560.Google Scholar
Dimotakis, P. E., Miake-Lye, R. C. & Papantoniou, D. A. 1983b Structure and dynamics of round turbulent jets. Phys. Fluids 26, 31853192.Google Scholar
Dowling, D. R. 1988 Mixing in gas phase turbulent jets. Ph.D. thesis, Caltech.
Dowling, D. R. & Dimotakis, P. E. 1988 On mixing and structure of the concentration field of turbulent jets. Proc. 1st National Fluid Dynamics Congress. New York: AIAA.
Fiedler, H. F. 1974 Transport of heat across a plane turbulent mixing layer. Adv. Geophys. 18 A, 93109.Google Scholar
Gibson, C. H., Friehe, C. A. & McConnell, S. O. 1977 Structure of sheared turbulent fields. Phys. Fluids 20, S156S167.Google Scholar
Hottel, H. C. 1953 Burning in laminar and turbulent fuel jets. 4th Intl Symp. on Combustion, pp. 97255. The Williams and Wilkins Co.
Konrad, J. H. 1976 An experimental investigation of mixing in two-dimensional turbulent shear flows with application to diffusion-limited chemical reactions. Ph.D. thesis, Caltech; also Project SQUID Tech. Rep. CIT-8-PU.
Koochesfahani, M. M. & Dimotakis, P. E. 1986 Mixing and chemical reactions in a turbulent mixing layer. J. Fluid Mech. 170, 83112.Google Scholar
Lockwood, F. C. & Moneib, H. A. 1980 Fluctuating temperature measurements in a heated round jet. Combust. Sci. Tech. 22, 6381.Google Scholar
Mollo-Christensen, E. 1967 Jet noise and shear flow instability seen from an experimenter's viewpoint. Trans. ASME E: J. Appl. Mech. 89, 17.Google Scholar
Mungal, M. G. & Dimotakis, P. E. 1984 Mixing and combustion with low heat release in a turbulent shear layer. J. Fluid Mech. 148, 349382.Google Scholar
Mungal, M. G. & Frieler, C. E. 1985 The effects of Damköhler number on a turbulent shear layer — Experimental results. GALCIT Rep. FM85–01.
Mungal, M. G. & Hollingsworth, D. K. 1989 Organized motion in a very high Reynolds number jet. Phys. Fluids A 1, 16151624.Google Scholar
Mungal, M. G. & O'Neil, J. M. 1989 Visual observations of a turbulent diffusion flame. Combust. and Flame 78, 377389.Google Scholar
Nakamura, I., Sakai, Y. & Miyata, M. 1982 A study of the fluctuation concentration field in a turbulent jet. Nagoya Univ. Res. Rep. 34, 113124.Google Scholar
Papanicolaou, P. N. & List, E. J. 1988 Investigations of round vertical turbulent buoyant jets. J. Fluid Mech. 195, 341391.Google Scholar
Papantoniou, D. A. 1985 Observations of turbulent buoyant jets by use of laser-induced fluorescence. Ph.D. thesis, Caltech.
Papantoniou, D. A. & List, E. J. 1989 Large scale structure in the far field of buoyant jets. J. Fluid Mech. 209, 151190.Google Scholar
Pitts, W. M. & Kashiwagi, T. 1984 The application of Rayleigh light scattering to the study of turbulent mixing. J. Fluid Mech. 141, 391429.Google Scholar
Ricou, F. P. & Spalding, D. B. 1961 Measurements of entrainment by axisymmetrical turbulent jets. J. Fluid Mech. 11, 2132.Google Scholar
Shlien, D. J. 1987 Observations of dispersions of entrained fluid in the self-preserving region of a turbulent jet. J. Fluid Mech. 183, 163173.Google Scholar
Thring, M. W. & Newby, M. P. 1952 Combustion length of enclosed turbulent jet flames. 4th Intl Symp. on Combustion, pp. 789255. The Williams and Wilkins Co.
Tso, J., Kovasznay, L. S. G. & Hussain, A. K. M. F. 1981 Search for large-scale coherent structure in the nearly self-preserving region of a turbulent axisymmetric jet. Trans. ASME I: J. Fluids Engng 103, 503508.Google Scholar
Wilson, R. A. M. & Danckwerts, P. V. 1964 Studies in turbulent jet mixing — II. A hot air jet. Chem. Engng Sci. 19, 885895.Google Scholar
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237255.Google Scholar
Wygnanski, I. & Fiedler, H. E. 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577612.Google Scholar
Yule, A. J. 1973 Large scale structure in the mixing layer of a round jet. J. Fluid Mech. 89, 413432.Google Scholar