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On the vorticity dynamics of a turbulent jet in a crossflow

Published online by Cambridge University Press:  21 April 2006

R. I. Sykes
Affiliation:
Aeronautical Research Associates of Princeton, Inc., P.O. Box 2229, 50 Washington Road, Princeton, New Jersey 08540
W. S. Lewellen
Affiliation:
Aeronautical Research Associates of Princeton, Inc., P.O. Box 2229, 50 Washington Road, Princeton, New Jersey 08540
S. F. Parker
Affiliation:
Aeronautical Research Associates of Princeton, Inc., P.O. Box 2229, 50 Washington Road, Princeton, New Jersey 08540

Abstract

We present numerical solutions of the fully three-dimensional flow of a round, turbulent jet emitted normal to a uniform free stream. Comparisons with available laboratory data and comparison between different numerical grid resolutions are used to demonstrate the quality of the simulation. Examination of the detailed flow pattern within a computational domain, which extends 15 jet diameters from the source allows us to follow the vorticity dynamics in the transition from an initially vertical jet to a wake with a vortex pair essentially aligned with the free stream. The transition is presented as a function of the ratio of the jet exit velocity to free stream velocity. For large velocity ratios, the source of the streamwise vorticity in the vortex pair can be readily traced back to the original streamwise vorticity in the sides of the vertical jet.

Type
Research Article
Copyright
© 1986 Cambridge University Press

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References

Andreopolous J.1983 Heat transfer measurements in a heated, jet-pipe flow issuing into a cold cross-stream. Phys. Fluids 26, 32013210.Google Scholar
Andreopolous, J. & Rodi W.1984 Experimental investigation of jets in a cross-flow. J. Fluid Mech. 138, 93127.Google Scholar
Chien, C. J. & Schetz J. A.1975 Numerical solution of the three-dimensional Navier—Stokes equations with application to channel flows and a buoyant jet in a cross-flow. Trans. ASME E: J. Appl. Mech. 42, 575579.Google Scholar
Demuren A. O.1983 Numerical calculations of steady three-dimensional turbulent jets in cross flow. Comp. Meth. Appl. Mech. & Engng 37, 309328.Google Scholar
Farnell L.1980 Solution of Poisson equations on a nonuniform grid. J. Comp. Phys. 35, 408425.Google Scholar
Kamotani, Y. & Greber I.1972 Experiments on a turbulent jet in a cross-flow. AIAA J. 10, 14251429.Google Scholar
Keffer, J. F. & Baines W. D.1963 The round turbulent jet in a cross wind. J. Fluid Mech. 15, 481496.Google Scholar
Lewellen W. S.1977 Use of invariant modeling. In Handbook of Turbulence (ed. W. Frost & T. M. Moulder). Plenum.
Mason, P. J. & Sykes R. I.1979 Three-dimensional numerical integrations of the Navier—Stokes equations for flow over surface-mounted obstacles. J. Fluid Mech. 91, 433450.Google Scholar
Mellor, G. L. & Yamada T.1974 A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci. 31, 17911806.Google Scholar
Moussa Z. M., Trischka, J. W. & Eskinazi S.1977 The near field in the mixing of a round jet with a cross-stream. J. Fluid Mech. 80, 4980.Google Scholar
Orlanski I.1976 A simple boundary condition for unbounded hyperbolic flows. J. Comp. Phys. 21, 251269.Google Scholar
Patankar S. V., Basu, D. K. & Alpay S. A.1977 Prediction of the three-dimensional velocity field of a deflected turbulent jet Trans. ASME I: J. Fluids Engng, 99, 758762.Google Scholar
Placsek, S. A. & Williams G. P.1970 Conservation properties of convection difference schemes. J. Comp. Phys. 6, 392405.Google Scholar