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The spectrum of temperature fluctuations in turbulent flow

Published online by Cambridge University Press:  28 March 2006

H. L. Grant ,
B. A. Hughes ,
W. M. Vogel  and
A. Moilliet
H. L. Grant
Affiliation:
Defence Research Establishment Pacific
Formerly Pacific Naval Laboratory.
Victoria, B.C., Canada
B. A. Hughes
Affiliation:
Defence Research Establishment Pacific
Formerly Pacific Naval Laboratory.
Victoria, B.C., Canada
W. M. Vogel
Affiliation:
Defence Research Establishment Pacific
Formerly Pacific Naval Laboratory.
Victoria, B.C., Canada
A. Moilliet
Affiliation:
Defence Research Establishment Pacific
Formerly Pacific Naval Laboratory.
Victoria, B.C., Canada
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Abstract

Temperature and velocity fluctuations have been recorded in the open sea and in a tidal channel, and power spectra have been determined from the records. The one-dimensional spectra of temperature fluctuations are found to have an inertial subrange. At larger wave-numbers the data can be fitted by Batchelor's spectrum function for the viscous-convective range. The spectra are inconsistent with the form proposed by Pao for the viscous-convective range.

Estimates are given for the constants in Batchelor's spectrum function, but these depend upon knowledge of the rate of dissipation of kinetic energy, which is determined from the velocity spectra. There is doubt about the validity of some of the velocity spectra, and in other cases there is reason to suspect that the turbulence is not locally isotropic.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 3 , 2 December 1968 , pp. 423 - 442
Copyright
© 1968 Cambridge University Press

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References

Batchelor, G. K. 1959 J. Fluid Mech. 5, 113.
Batchelor, G. K. & Townsend, A. A. 1956 Article in Surveys in Mechanics, p. 352. Cambridge University Press.
Corrsin, S. 1951 J. Appl. Phys. 22, 469.
Fabula, A. G. 1968 J. Fluid Mech. 33 449.
Gibson, C. H. 1966 Institute for Radiation Physics and Aerodynamics, University of California. Rep. no. IRPA-65-68.
Gibson, C. H. & Schwartz, W. H. 1963 J. Fluid Mech. 16, 365.
Gibson, M. M. 1963 J. Fluid Mech. 15, 161.
Grant, H. L., Moilliet, A. & Vogel, W. M. 1968 J. Fluid Mech. 33, 443.
Grant, H. L., Stewart, R. W. & Moilliet, A. 1962 J. Fluid Mech. 12, 241.
Nye, J. O. & Brodkey, R. S. 1967 J. Fluid Mech. 29, 151.
Obukhov, A. M. 1949 Izv. Akad. Nauk SSSR, Geogr. i Geofiz. 13, 58.
Pao, Y. H. 1965 Phys. Fluids 8, 1063.
Pond, S., Smith, S. D., Hamblin, P. F. & Burling, R. W. 1966 J. Atmospheric Sci. 23, 376.
Pond, S., Stewart, R. W. & Burling, R. W. 1963 J. Atmospheric Sci. 20, 319.
Reid, W. H. 1955 Proc. Camb. Phil. Soc. 51, 350.
Stewart, R. W. & Grant, H. L. 1962 J. Geophys. Res. 67, 3177.