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A vortex-street model of the flow in the similarity region of a two-dimensional free turbulent jet

Published online by Cambridge University Press:  20 April 2006

J. W. Oler  and
V. W. Goldschmidt
J. W. Oler
Affiliation:
School of Mechanical Engineering, Ray W. Herrick Laboratories. Purdue University, West Lafayette, Indiana 47907 Present Address: Texas Technical University, Lubbock, Texas.
V. W. Goldschmidt
Affiliation:
School of Mechanical Engineering, Ray W. Herrick Laboratories. Purdue University, West Lafayette, Indiana 47907
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Abstract

The mean-velocity profiles and entrainment rates in the similarity region of a two-dimensional jet are generated by a simple superposition of Rankine vortices arranged to represent a vortex street. The spacings between the vortex centres, their two-dimensional offsets from the centreline, as well as the core radii and circulation strengths, are all governed by similarity relationships and based upon experimental data.

Major details of the mean flow field such as the axial and lateral mean-velocity components and the magnitude of the Reynolds stress are properly determined by the model. The sign of the Reynolds stress is, however, not properly predicted.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 123 , October 1982 , pp. 523 - 535
Copyright
© 1982 Cambridge University Press

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References

Bradbury, L. J. S. 1965 The structure of a self-preserving turbulent plane jet. J. Fluid Mech. 23, 31.Google Scholar
Browand, F. K. & Weidman, P. D. 1976 Large scales in the developing mixing layer. J. Fluid Mech. 76, 127.Google Scholar
Brown, G. L. & Roshko, A. 1971 The effect of density difference on the turbulent mixing layer. Turbulent Shear Flows, AGARD-CP-93, 23–1.
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775.Google Scholar
Cervantes De Gortari, J. G. 1978 An experimental study of the flapping motion of a turbulent plane jet. Ph.D. thesis. School of Mech. Engng, Purdue University.
Cervantes De Gortari, J. G. 1980 The apparent flapping of a turbulent plane jet-further experimental results. A.S.M.E. Paper 80-WA-FE-13.
Chambers, F. W. & Goldschmidt, V. W. 1982 Acoustic interaction with a turbulent plane jet - effects on turbulent structure. A.I.A.A. Paper 82–0048.
Everitt, K. W. & Robins, A. G. 1978 The development and structure of turbulent plane jets. J. Fluid Mech. 88, 563.Google Scholar
Goldschmidt, V. W. & Bradshaw, P. 1973 Flapping of a plane jet. Phys. Fluids 16, 354.Google Scholar
Grant, H. L. 1958 The large eddies of turbulent motion. J. Fluid Mech. 4, 149.Google Scholar
Gutmark, E. & Wygnanski, I. 1976 The planar turbulent jet. J. Fluid Mech. 73, 465.Google Scholar
Jenkins, P. E. & Goldschmidt, V. W. 1974 Study of the intermittent region of a two-dimensional plane jet. Dept of Mech. Engng, Purdue University, Herrick Lab. Rep. HL 74–75.Google Scholar
Moallemi, K. 1980 Visualization and characterization of a two-dimensional turbulent jet. M.S. thesis, School of Mech. Engng, Purdue University.
Oler, J. W. 1980 Coherent structures in the similarity region of a two-dimensional turbulent jet: a vortex street. Ph.D. thesis, School of Mech. Engng, Purue University.
Oler, J. W. & Goldschmidt, V. W. 1980 Interface crossing frequency as a self-preserving flow variable in a turbulent jet. Phys. Fluids 23, 19.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.
Reichardt, H. 1943 J. R. Aero. Soc. 47, 167.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237.Google Scholar