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Decaying turbulence in neutral and stratified fluids

Published online by Cambridge University Press:  19 April 2006

T. D. Dickey  and
G. L. Mellor
T. D. Dickey
Affiliation:
Geophysical Fluid Dynamics Program, Princeton University, New Jersey 08540 Present Address: Institute for Marine and Coastal Studies and Department of Geological Sciences, University of Southern California, University Park, Los Angeles, California 90007.
G. L. Mellor
Affiliation:
Geophysical Fluid Dynamics Program, Princeton University, New Jersey 08540
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Abstract

Decaying turbulence in neutral and stratified fluids has been studied experimentally for relatively high mesh Reynolds numbers and long time-histories. The neutral case indicates an initial period decay law, q2∝ t−1, through non-dimensional time \[ W_gt/M \simeq 800 \] which is considerably longer than previous measurements at the same mesh Reynolds number (Re = 48260). The stratified experiment resulted in a decay rate virtually identical to that of the neutral case through Wgt/M = 275. However the decay rate sharply decreased after this time when the field of turbulence was replaced by internal gravity waves. A critical Richardson number marks the transition from the turbulence to an internal gravity wave domain.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 1 , 11 July 1980 , pp. 13 - 31
Copyright
© 1980 Cambridge University Press

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References

Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence, p. 103. Cambridge University Press.
Batchelor, G. K. & Townsend, A. A. 1948 Decay of isotropic turbulence in the initial period. Proc. Roy. Soc. A 193, 539–566.Google Scholar
Comte-Bellot, G. & Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25, 657–687.Google Scholar
Comte-Bellot, G. & Corrsin, S. 1971 Simple Eulerian time correlation of full- and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence. J. Fluid Mech. 48, 273–337.Google Scholar
Delisi, D. P. & Orlanski, I. 1975 On the role of density jumps in the reflexion and breaking of internal gravity waves. J. Fluid Mech. 69, 445–464.Google Scholar
Dickey, T. D. & Mellor, G. L. 1979 The Kolmogorov r2/3 law. Phys. Fluids 22, 1029–1032.Google Scholar
Falco, R. E. 1971 Measurements of the intensity and correlation from the initial period to the final period of decaying grid-generated turbulence. Ph.D. thesis, Princeton University.
Fortuin, J. M. H. 1960 Theory and application of two supplementary methods of construction of density gradient columns. J. Polymer Sci. 44, 505–515.Google Scholar
Gad-El-Hak, M. & Corrsin, S. 1974 Measurements of the nearly isotropic turbulence behind a uniform jet grid. J. Fluid Mech. 62, 115–143.Google Scholar
Kistler, A. L. & Vrebalovich, T. 1966 Grid turbulence at large Reynolds numbers. J. Fluid Mech. 26, 37–47.Google Scholar
Lange, R. E. 1974 Decay of turbulence in stratified salt water. Ph.D. thesis, University of California, San Diego.
Lin, J. T. & Pao, Y. H. 1979 Wakes in stratified fluids. Ann. Rev. Fluid Mech. 11, 317–338.Google Scholar
Lin, J. T. & Veenhuizen, S. D. 1974 Measurements of the decay of grid generated turbulence in a stably stratified fluid (abstract). Bull. Am. Phys. Soc. 19, 1142–1143.Google Scholar
Maxworthy, T. & Browand, F. K. 1975 Experiments in rotating and stratified flows: Oceanographic application. Ann. Rev. Fluid Mech. 7, 273–305.Google Scholar
Orlanski, I. 1972 On the breaking of standing internal gravity waves. J. Fluid Mech. 54, 577–598.Google Scholar
Pao, Y. H. 1973 Measurements of internal waves and turbulence in two-dimensional stratified shear flows. Boundary Layer Met. 5, 177–193.Google Scholar
Rotta, J. C. 1951 Statistische Theorie nichthomogener Turbulenz. Z. Phys. 129, 547–572, 131, 51–77.Google Scholar
Schedvin, J., Stegen, G. & Gibson, C. H. 1974 Universal similarity at high grid Reynolds numbers. J. Fluid Mech. 65, 561–579.Google Scholar
Trumbull, H. 1967 A new research tool for the study of turbulent flows. M.S.E. thesis, Princeton University.
Uberoi, M. S. 1956 The effect of wind tunnel contraction on free stream turbulence. J. Aero. Sci. 23, 754.Google Scholar
Uberoi, M. S. & Wallis, S. 1967 Effect of grid geometry on turbulence decay. J. Fluid Mech. 10, 1216–1224.Google Scholar
Van Atta, C. W. & Chen, W. Y. 1968 Correlation measurements in grid turbulence using digital harmonic analysis. J. Fluid Mech. 34, 497–515.Google Scholar
Wyatt, L. A. 1955 Energy and spectra in decaying homogeneous turbulence. Ph.D. thesis, University of Manchester.