Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T07:57:22.033Z Has data issue: false hasContentIssue false

Large-scale structure in the mixing layer of a round jet

Published online by Cambridge University Press:  19 April 2006

A. J. Yule
Affiliation:
Department of Chemical Engineering and Fuel Technology, University of Sheffield, England

Abstract

Late transitional and turbulent flows in the mixing-layer region of a round jet are investigated for a range of Reynolds numbers by using flow-visualization and hotwire techniques. Attention is focused on the vortices in the transition region and the large eddies in the turbulent region. The interaction and coalescence of vortex rings in the transition region are described. The transition region is characterized by a growth of three-dimensional flow due to a wave instability of the cores of the vortex rings. The merging of these distorted vortices produces large eddies which can remain coherent up to the end of the potential-core region of the jet. A conditional sampling technique is used to measure eddies moving near the jet centre-line. These eddies differ significantly from the ring vortices as they are three-dimensional and contain irregular small-scale turbulence. However, when averaged, their structure is similar in cross-section to that of a vortex ring. These sampled eddies contribute greatly to local velocity fluctuations and statistical correlations. The experiments indicate a need for careful consideration of the meanings of terms such as ‘vortex’, ‘eddy’ and ‘turbulent flow’. In particular care must be taken to discriminate between the orderly, easily visualized, vortices in the transition regions of free shear flows and the less clearly visualized, but strong, large eddies in the fully developed turbulent regions.

Type
Research Article
Copyright
© 1978 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

Bradshaw, P. 1966 The effect of initial conditions on the development of a free shear layer. J. Fluid Mech. 26, 225236.Google Scholar
Bradshaw, P. 1975 In Turbulent Mixing in Nonreactive and Reactive Flows (ed. S. N. B. Murthy), pp. 311312. Plenum.
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
Browand, F. K. & Laufer, J. 1975 The role of large scale structures in the initial development of circular jets. Proc. 4th Biennial Symp. Turbulence in Liquids, Univ. Missouri–Rolla, pp. 333344. Princeton, New Jersey: Science Press.
Browand, F. K. & Weidman, P. D. 1976 Large scales in the developing mixing layer. J. Fluid Mech. 76, 127144.Google Scholar
Brown, G. & Roshko, A. 1971 The effect of density difference on the turbulent mixing layer. AGARD Conf. Proc. no. 93, paper 23.Google Scholar
Brown, G. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Bruun, H. H. 1977 A time-domain analysis of the large-scale flow structure in a circular jet. Part 1. Moderate Reynolds number. J. Fluid Mech. 83, 641671.Google Scholar
Chandrsuda, C., Mehta, R. D., Weir, A. D. & Bradshaw, P. 1978 Effect of free-stream turbulence on large structure in turbulent mixing layers. J. Fluid Mech. 85, 693704.Google Scholar
Crow, S. & Champagne, F. M. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.Google Scholar
Davies, P. O. A. L. & Yule, A. J. 1975 Coherent structures in turbulence. J. Fluid Mech. 69, 513537.Google Scholar
Dimotakis, P. E. & Brown, G. L. 1975 Large structure dynamics and entrainment in the mixing layer at high Reynolds number. Project SQUID, Purdue Univ. Indiana, Tech. Rep. (II-7-PU).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
Ko, N. W. M. & Davies, P. O. A. L. 1971 The near field within the potential cone of subsonic cold jets. J. Fluid Mech. 50, 4978.Google Scholar
Konrad, J. H. 1976 An experimental investigation of mixing in two-dimensional turbulent shear flows with applications to diffusion-limited chemical reactions. Project SQUID, Purdue Univ. Indiana, Tech. Rep. CIT-8-PU.Google Scholar
Lau, J. C. & Fisher, M. J. 1975 The vortex-street structure of ‘turbulent’ jets. Part 1. J. Fluid Mech. 67, 299337.Google Scholar
Laufer, J., Kaplan, R. E. & Chu, W. T. 1973 On the generation of jet noise. AGARD Conf. Noise Mechanisms, Brussels, paper 131.Google Scholar
Maxworthy, T. 1974 Turbulent vortex rings. J. Fluid Mech. 64, 227239.Google Scholar
Michalke, A. & Freymuth, P. 1966 The instability and the formation of vortices in a free boundary layer. AGARD, Conf. Proc. no. 4, paper 2.Google Scholar
Moore, C. J. 1977 The role of shear-layer instability waves in jet exhaust noise. J. Fluid Mech. 80, 321367.Google Scholar
Roshko, A. 1975 Progress and problems in understanding turbulent shear flows. In Turbulent Mixing in Nonreactive and Reactive Flows (ed. S. N. B. Murthy), pp. 295311. Plenum.
Widnall, S. E. & Sullivan, J. P. 1973 On the stability of vortex rings. Proc. Roy. Soc. A 332, 335353.Google Scholar
Wille, R. 1963 Growth of velocity fluctuations leading to turbulence in a free shear layer. Hermann Fottinger Inst., Berlin, AFOSR Tech. Rep. Contract AF 61(052)–412.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
Yule, A. J. 1972 Two-dimensional self-preserving turbulent mixing layers at different free stream velocity ratios. Aero. Res. Counc. R. & M. no. 3683.Google Scholar
Yule, A. J., Bruun, H. H., Baxter, D. R. J. & Davies, P. O. A. L. 1974 Structure of turbulent jets. Univ. Southampton ISVR Memo. no. 506.Google Scholar