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The interaction region of a turbulent plane jet

Published online by Cambridge University Press:  20 April 2006

L. W. B. Browne
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
A. J. Chambers
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia

Abstract

All three velocity fluctuations and the temperature fluctuation have been measured in a slightly heated turbulent plane jet. Attention is focused on the interaction region of the flow, which is situated between the location where the two mixing layers nominally merge and that which corresponds to approximate self-preservation.

For the jet considered here the mixing-layer structures are symmetrical with respect to the centreline, and when they meet in the interaction region the redistribution of turbulence quantities is dramatic. This redistribution is examined in detail. Also examined is the effect of the generation, in the interaction region, of new structures, asymmetric with respect to the centreline, which evolve into the self-preserving flow region downstream.

Turbulence parameters, such as the turbulent Prandtl number, probability density functions, skewness and flatness factors, are also presented, primarily to guide computer simulations of this flow. The superposition procedure of Weir, Wood & Bradshaw (1981), which assumes that the turbulence structure of each mixing layer is not significantly altered by the interaction, is not appropriate to the present flow.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Abramovich, G. N. 1982 On the deformation of the rectangular turbulent jet cross-section. Intl J. Heat Mass Transfer 25, 18851894.Google Scholar
Antonia, R. A., Browne, L. W. B., Chambers, A. J. & Rajagopalan, S. 1983a Budget of the temperature variance in a turbulent plane jet. Intl J. Heat Mass Transfer 26, 4148.Google Scholar
Antonia, R. A., Browne, L. W. B., Rajagopalan, S. & Chambers, A. J. 1983b On the organized motion of a turbulent plane jet. J. Fluid Mech. 134, 4966.Google Scholar
Antonia, R. A., Chambers, A. J. & Elena, M. 1983 Points of symmetry in turbulent shear flows. Intl Commun. Heat Mass Transfer 10, 395402.Google Scholar
Bradbury, L. J. S. 1965 The structure of a self-preserving turbulent plane jet. J. Fluid Mech. 23, 3164.Google Scholar
Bradshaw, P. 1977 Effect of external disturbances on the spreading rate of a plane turbulent jet. J. Fluid Mech. 80, 795797.Google Scholar
Bradshaw, P., Dean, R. B. & McEligot, D. M. 1973 Calculation of interacting turbulent shear layers: duct flow. Trans. ASME I: J. Fluids Engng 95, 214219.Google Scholar
Browne, L. W. B. & Antonia, R. A. 1983 Measurements of turbulent Prandtl number in a plane jet. Trans. ASME C: J. Heat Transfer 105, 663665.Google Scholar
Browne, L. W. B., Antonia, R. A., Rajagopalan, S. & Chambers, A. J. 1983 Interaction region of a two-dimensional turbulent plane jet in still air. In Structure of Complex Turbulent Shear Flow (ed. R. Dumas & L. Fulachier), pp. 411419. Springer.
Everitt, K. W. & Robins, A. G. 1978 The development and structure of turbulent plane jets. J. Fluid Mech. 88, 563583.Google Scholar
Fabris, G. 1983 Higher-order statistics of turbulent fluctuations in the plane wake. Phys. Fluids 26, 14371445.Google Scholar
Flora, J. J. & Goldschmidt, V. W. 1969 Virtual origins of a free plane turbulent jet. AIAA J. 7, 23442346.Google Scholar
Foss, J. F. & Jones, J. B. 1968 Secondary flow effects in a bounded rectangular jet. Trans. ASME A: J. Basic Engng 90, 241248.Google Scholar
Goldschmidt, V. W. & Bradshaw, P. 1981 Effects of nozzle exit turbulence on the spreading (or widening) rate of plane free jets. ASME Paper 81-FE-22.Google Scholar
Goldschmidt, V. W., Moallemi, M. K. & Oler, J. W. 1983 Structures and flow reversal in turbulent plane jets. Phys. Fluids 26, 428432.Google Scholar
Gutmark, E. & Wygnanski, I. 1976 The planar turbulent jet. J. Fluid Mech. 73, 465495.Google Scholar
Heskestad, G. 1965 Hot-wire measurements in a plane turbulent jet. Trans. ASME E: J. Appl. Mech. 32, 721734.Google Scholar
Hill, W. G., Jenkins, R. C. & Gilbert, B. L. 1976 Effects of the initial boundary-layer state on turbulent jet mixing. AIAA J. 14, 15131514.Google Scholar
Hussain, A. K. M. F. 1983 Coherent structures - reality and myth. Phys. Fluids 26, 28162850.Google Scholar
Hussain, A. K. M. F. & Clark, A. R. 1977 Upstream influence on the near field of a plane turbulent jet. Phys. Fluids 20, 14161426.Google Scholar
Jenkins, P. E. & Goldschmidt, V. W. 1974 A study of the intermittent region of a heated two-dimensional plane jet. School Mech. Engng, Purdue Univ. Rep. HL74–45.Google Scholar
Kotsovinos, N. E. 1975 A study of the entrainment and turbulence in a plane buoyant jet. Ph.D. thesis, California Institute of Technology.
Krothapalli, A., Baganoff, D. & Karamcheti, K. 1981 On the mixing of a rectangular jet. J. Fluid Mech. 107, 201220.Google Scholar
LaRue, J. C. & Libby, P. 1974 Temperature fluctuations in the plane turbulent wake. Phys. Fluids 17, 19561967.Google Scholar
McGuirk, J. J. & Rodi, W. 1977 The calculation of three-dimensional turbulent free jets. In Proc. Symp. on Turbulent Shear Flows, Pennsylvania State University, vol. 1, pp. 1.291.36.
Moallemi, M. K. & Goldschmidt, V. W. 1981 Smoke wire visualization of the external region of a two-dimensional jet. In Proc. 7th Biennial Symp. on Turbulence, University of Missouri—Rolla, pp. 420421.
Mumford, J. C. 1982 The structure of the large eddies in fully developed turbulent shear flows. Part 1. The plane jet. J. Fluid Mech. 118, 241268.Google Scholar
Murlis, J., Tsai, H. M. & Bradshaw, P. 1982 The structure of turbulent boundary layers at low Reynolds numbers. J. Fluid Mech. 122, 1356.Google Scholar
Oler, J. W. & Goldschmidt, V. W. 1981 Coherent structures in the similarity region of two-dimensional turbulent jets. In Proc. 3rd Symp. on Turbulent Shear Flows, University of California, Davis, pp. 11.111.6.
Oler, J. W. & Goldschmidt, V. W. 1982 A vortex-street model of the flow in the similarity region of a two-dimensional free turbulent jet. J. Fluid Mech. 123, 523535.Google Scholar
Pascal, A. 1978 Contribution à l'étude d'un jet plan turbulent faiblement chauffé en écoulement incompressible. Thèse Docteur—Ingénieur, Institut National Polytechnique de Toulouse.
Quinn, W. R., Pollard, A. & Masters, G. F. 1983 Measurements in a turbulent rectangular free jet. In Proc. 4th Symp. on Turbulent Shear Flows, Karlsruhe, F.R. Germany, pp. 7.17.6.
Rockwell, D. O. & Niccolls, W. O. 1972 Natural breakdown of planar jets. Trans. ASME D: J. Basic Engng 94, 720730.Google Scholar
Schultz-Grunow, F. 1981 Generation of spatial turbulent spots. In Proc. 7th Biennial Symp. on Turbulence, University of Missouri—Rolla, pp. 521524.
Sfeir, A. A. 1979 Investigation of three-dimensional turbulent rectangular jets. AIAA J. 17, 10551060.Google Scholar
Sforza, P. M. & Stasi, W. 1979 Heated three-dimensional turbulent jets. Trans. ASME C: J. Heat Transfer 101, 353358.Google Scholar
Sreenivasan, K. R. 1981 Evolution of the centreline probability density function of temperature in a plane turbulent wake. Phys. Fluids 24, 12321234.Google Scholar
Sunyach, M. & Mathieu, J. 1969 Zone de mélange d'un jet plan: fluctuations induites dans le cône à potentiel—intermittence. Intl J. Heat Mass Transfer 12, 16791697.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Trentacoste, N. P. & Sforza, P. M. 1967 Further experimental results for three-dimensional free jets. AIAA J. 5, 885891.Google Scholar
Weir, A. D. & Bradshaw, P. 1975 Resonance and other oscillations in the initial region of a plane turbulent jet. Dept Aeronautics, Imperial Coll. IC Aero. Rep. 75–07.Google Scholar
Weir, A. D., Wood, D. H. & Bradshaw, P. 1981 Interacting turbulent shear layers in a plane jet. J. Fluid Mech. 107, 237260.Google Scholar