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Asymptotic analysis of the fully developed region of an incompressible, free, turbulent, round jet

Published online by Cambridge University Press:  26 April 2006

W. B. Bush  and
L. Krishnamurthy
W. B. Bush
Affiliation:
King, Buck & Associates, Inc., San Diego, CA 92110, USA
L. Krishnamurthy
Affiliation:
Florida Institute of Technology, Melbourne, FL 32901-6988, USA
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Abstract

The structure of the far-field turbulent region of an incompressible free jet developing downstream of an axisymmetric nozzle is studied by means of the Reynolds time-averaged equations. The analysis employs the method of matched asymptotic expansions, with limit-process expansions developed in the limit of large Reynolds number. The analysis reveals the existence, far downstream of the nozzle exit, of a turbulent core region, an irrotational exterior region, and a distinguished intermediate region. Self-similar formulations are sought for all three regions in terms of appropriate independent and dependent variables. The stress- and pressure-function solutions for the exterior region, unlike the mean-velocity solutions, represent new information on the far-field flow behaviour. The analytical results of the centreline decay of the mean axial velocity and those of the radial distributions of the axial and radial mean-velocity components and the shear- and normal-stress components are compared with available experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 223 , February 1991 , pp. 93 - 111
Copyright
© 1991 Cambridge University Press

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References

Abramovich, G. N.: 1963 The Theory of Turbulent Jets (transl. by Scripta Technica; techn. ed. L. H. Schindel). M. I. T. Press.
Hinze, J. O.: 1975 Turbulence (2nd edn). McGraw-Hill.
Hinze, J. O. & Van der Hegge, Zijnen B. G. 1949 Transfer of heat and matter in the turbulent mixing zone of an axially symmetric jet. Appl. Sci. Res. 1A, 435 (referred to herein as H-VdHZ).Google Scholar
Landau, L. D. & Lifshitz, E. M., 1959 Fluid Mechanics: Course of Theoretical Physics, vol. 6. Pergamon.
Reichardt, H.: 1941 Gesetmäßigkeiten der freien Turbulenz. Z. Angew. Math. Mech. 21, 257.Google Scholar
Schlichting, H.: 1979 Boundary-Layer Theory (7th edn; transl. J. Kestin). McGraw-Hill.
Tollmien, W.: 1926 Berechnung turbulenter Ausbreitungsvorgänge. Z. Angew. Math. Mech. 6, 468.Google Scholar
Townsend, A. A.: 1976 The Structure of Turbulent Shear Flow (2nd edn). Cambridge University Press.
Wygnanski, I. & Fiedler, H., 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577 (referred to herein as W-F).Google Scholar