Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-06-04T02:04:46.669Z Has data issue: false hasContentIssue false

A modelling of large eddies in an axisymmetric jet

Published online by Cambridge University Press:  19 April 2006

E. Acton
Affiliation:
Engineering Department, University of Cambridge Present address: Topexpress Ltd., 1 Portugal Place, Cambridge CB5 8AF.

Abstract

Crow & Champagne (1971), Bechert & Pfizenmaier (1975) and Moore (1977) have observed that the growth, mixing and noise production of jet flows are sensitive to harmonic forcing. This paper describes an attempt to model numerically certain features of these flows. The model flow is restricted to be axisymmetric and is consequently unrepresentative of the detailed structure in a real jet. Nonetheless, it is found that reasonable qualitative agreement exists between the results of the model and experiments as far as the large eddies are concerned. This suggests that a substantial part of the large-scale structure in a jet is essentially axisymmetric. Harmonic excitation is also applied to the model jet and the changes in frequency and amplitude of the excitation cause distinct changes in the wavelengths of the jet eddies. This resulting large-eddy behaviour is consistent with many features of the nonlinear behaviour observed experimentally in forced jets.

Type
Research Article
Copyright
© 1980 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

Acton, E. 1976 The modelling of large eddies in a two-dimensional shear layer. J. Fluid Mech. 76, 561592.Google Scholar
Batchelor, G. K. 1970 An Introduction to Fluid Dynamics. Cambridge University Press.
Batchelor, G. K. & Gill, A. E. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529551.Google Scholar
Bechert, D. & Pfizenmaier, E. 1975 On the amplification of broad band jet noise by a pure tone excitation. J. Sound Vib. 43, 581587.Google Scholar
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
Brown, G. L. & Roshko, A. 1974 On the density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Chan, Y. Y. 1974 Spatial waves in turbulent jets. Phys. Fluids 17, 4653.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.Google Scholar
Davies, P. O. A. L., Fisher, M. J. & Barratt, M. J. 1963 The characteristics of the turbulence in the mixing region of a round jet. J. Fluid Mech. 15, 337367.Google Scholar
Davies, P. O. A. L. & Hardin, J. C. 1973 Potential flow modelling of unsteady flow. Int. Conf. on Numerical Methods in Fluid Dynamics, Dept. of Civil Engng, University of Southampton.Google Scholar
Dimotakis, P. E. & Brown, G. L. 1975 Large structure dynamics and entrainment in the mixing layer at high Reynolds number. California Institute of Technology, Rep. CIT-7-PU.Google Scholar
Fisher, M. J. & Davies, P. O. A. L. 1964 Correlation measurements in a non-frozen pattern of turbulence. J. Fluid Mech. 18, 97116.Google Scholar
Ko, N. W. M. & Davies, P. O. A. L. 1971 The near field within the potential core of subsonic cold jets. J. Fluid Mech. 50, 4978.Google Scholar
lamb, H. 1924 Hydrodynamics. Cambridge University Press.
Lau, J. C., Fisher, M. J. & Fuchs, H. V. 1972 The intrinsic structure of turbulent jets. J. Sound Vib. 22, 379406.Google Scholar
Lau, J. C. & Fisher, M. J. 1975 The vortex street structure of turbulent jets. Part 1. J. Fluid Mech. 67, 229338.Google Scholar
Levine, H. & Schwinger, J. 1948 On the radiation of sound from an unflanged circular pipe. Phys. Rev. 73, 383406.Google Scholar
Moore, C. J. 1974 Aerodynamic data and flow visualisation techniques for the A.R.L. jet rig. Rolls-Royce (1971) Ltd, Rep. RR(OH)585.Google Scholar
Moore, C. J. 1977 The role of shear layer instability waves in jet exhaust noise. J. Fluid Mech. 80, 321367.Google Scholar
Saffman, P. G. 1970 The velocity of viscous vortex rings. Stud. Appl. Math. 49, 371380.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2 edn. Cambridge University Press.
Wills, J. A. B. 1964 On convection velocities in turbulent shear flows. J. Fluid Mech. 20, 417432.Google Scholar