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A numerical model of instability in axisymmetric jets

Published online by Cambridge University Press:  29 March 2006

A. J. Grant
A. J. Grant
Affiliation:
Shell Research Ltd, Thornton Research Centre, P.O. Box 1, Chester CH1 3SH
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Abstract

The detailed flow fields associated with instability in axisymmetric jets are realized by numerical integration of the time-dependent Navier-Stokes equations.

The mechanism of amplification of small disturbances is shown to be two-dimensional for a thin boundary layer profile and conclusions regarding three-dimensionality which have been inferred from recent models of axisymmetrical systems are clarified.

The computed flow field is shown to be dominated by the large-scale vortex ring structure which has been observed experimentally. Although the wavelength of vortex shedding is found to be slightly variable owing to the randomness of the initial perturbation, the results are shown to agree closely with experiment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 4 , 11 December 1974 , pp. 707 - 724
Copyright
© 1974 Cambridge University Press

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References

Batchelor, G. K. & Gill, A. E. 1962 J. Fluid Mech. 14, 529–551.
Beavers, G. S. & Wilson, T. A. 1970 J. Fluid Mech. 44, 97–112.
Becker, H. A. & Massaro, T. A. 1968 J. Fluid Mech. 31, 435–448.
Browand, F. K. 1966 J. Fluid Mech. 26, 281–308.
Coles, D. 1965 J. Fluid Mech. 21, 385–426.
Crow, S. C. & Champagne, F. H. 1971 J. Fluid Mech. 48, 547–592.
Fox, L. 1962 Numerical Solutions of Ordinary and Partial Differential Equations, chap. 23. Pergamon.
Fromm, J. E. 1967 Fluid Dynamics Transactions, 3, 169–191.
Fromm, J. E. 1969a Phys. Fluids (suppl. II), 12, 3–12.
Fromm, J. E. 1969b Phys. Fluids (suppl. II), 12, 113–119.
Gerrard, J. H. 1971 J. Fluid Mech. 50, 625–644.
Grant, A. J., Jones, J. M. & Rosenfeld, J. L. J. 1973 Combustion Institute European Symposium, pp. 548–552. Academic.
Hama, F. R. 1962 Phys. Fluids 5, 644–650.
Iribarne, A., Frantisak, F., Hummel, R. L. & Smith, J. W. 1972 A.I.Ch.E. J. 18, 689–698.
Macagno, E. O. & Hung, T-K. 1967 J. Fluid Mech. 28, 43–64.
Rimon, Y. 1969 Phys. Fluids (suppl. II), 12, 65–75.
Rimon, Y. & Cheng, S. I. 1969 Phys. Fluids, 12, 949–959.
Roache, P. J. 1972 Computational Fluid Dynamics, p. 142. Hermosa, Albuquerque.
Viilu, A. 1962 J. Appl. Mech. 29, 506.