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On the structure of pressure fluctuations in turbulent shear flow

Published online by Cambridge University Press:  29 March 2006

P. J. Mulhearn
P. J. Mulhearn
Affiliation:
Division of Environmental Mechanics, CSIRO, Canberra, Australia
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Abstract

Pressure and pressure-velocity space correlations are calculated, using rapid-distortion theory, for turbulence in a uniform shear flow. It is found that pressure fluctuations remain correlated over significantly greater distances than do velocity fluctuations. When these predictions are used as a model for turbulence in free turbulent shear flows, it is found that the predicted scale of the pressure fluctuations is larger than the flow width. It is proposed that pressure fluctuations remain highly correlated right across free shear flows. Predictions from the theory are then compared with various experimental situations in which reasonable qualitative agreement is to be expected, and this is found.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 4 , 28 October 1975 , pp. 801 - 813
Copyright
© 1975 Cambridge University Press

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References

Batchelor, G. K. 1956 The Theory of Homogeneous Turbulence. Cambridge University Press.
Bradshaw, P., Ferriss, D. H. & Johnson, R. J. 1964 J. Fluid Mech. 19, 591.
Brown, G. L. & Roshko, A. 1974 J. Fluid Mech. 64, 775.
Bull, M. K. 1967 J. Fluid Mech. 28, 719.
Burton, T. E. 1971 Acoust. Vib. Lab., M.I.T. Rep. no. 70208–4.
Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 J. Fluid Mech. 41, 81.
Craya, A. 1958 Publ. Sci. Tech. Ministère de l'Air, no. 345, p. 1.
Deissler, R. G. 1962 Phys. Fluids, 5, 1124.
Elliott, J. A. 1972 J. Fluid Mech. 53, 351.
Favre, A. J. 1965 Trans. A.S.M.E., J. Appl. Mech. E 32, 241.
Ffowcs Williams, J. E. 1965 J. Fluid Mech. 22, 507.
Grant, H. L. 1958 J. Fluid Mech. 4, 149.
Hodgson, L. H. 1962 Ph.D. thesis, University of London.
Jones, I. S. F. 1967 Dept. Mech. Engng, University of Waterloo Res. Rep. no. 7.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 741.
Kobashi, Y. 1957 J. Phys. Soc. Japan, 12, 533.
Kraichnan, R. H. 1956 J. Acoust. Soc. Am. 28, 378.
Moffatt, H. K. 1965 In Atmospheric Turbulence and Radio Wave Propagation, p. 139. Moscow: Nauka.
Mulhearn, P. J. 1974 Trans. A.S.M.E., J. Fluids Engng, I 96, 181.
Mulhearn, P. J. & Luxton, R. E. 1975 J. Fluid Mech. 68, 577.
Rose, W. O. 1966 J. Fluid Mech. 25, 97.
Siddon, L. E. 1969 Inst. Aerospace Studies, University of Toronto Rep. no. 136.
Strasberg, M. 1963 AGARD Rep. no. 464.
Townsend, A. A. 1970 J. Fluid Mech. 41, 13.
Willmarth, W. W. 1971 Ann. Rev. Fluid Mech. 3, 147.
Willmarth, W. W. & Wooldridge, C. E. 1962 J. Fluid Mech. 14, 187.
Willmarth, W. W. & Wooldridge, C. E. 1963 AGARD Rep. no. 456.