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The destruction of temperature fluctuations in a turbulent plane jet

Published online by Cambridge University Press:  20 April 2006

R. A. Antonia  and
L. W. B. Browne
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
L. W. B. Browne
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
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Abstract

The transport equation for the destruction of temperature fluctuations in a turbulent shear flow is briefly discussed from the point of view of the experimenter's ability to measure the important terms. The transport equation for only one component of the destruction, the mean-square streamwise temperature derivative, is considered in detail in the case of a steady two-dimensional turbulent shear flow. Measurements of most of the terms in this equation have been made in the self-preserving region of a turbulent plane jet. They indicate that the advection and diffusion terms are negligible compared with the production and dissipation terms. The measured terms are discussed in the context of local isotropy. Mean-square values of second-order derivatives satisfy local isotropy more closely than those of first-order derivatives.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 67 - 83
Copyright
© 1983 Cambridge University Press

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References

Antonia, R. A., Browne, L. W. B. & Chambers, A. J. 1981 Determination of time constants of cold wires Rev. Sci. Instrum. 52, 107–110.Google Scholar
Antonia, R. A., Browne, L. W. B., Chambers, A. J. & Rajagopalan, S. 1983 Budget of the temperature variance in a turbulent plane jet Intl J. Heat Mass Transfer 26, 41–48.Google Scholar
Antonia, R. A. & Chambers, A. J. 1980 On the correlation between turbulent velocity and temperature derivatives in the atmospheric surface layer Boundary-Layer Met. 18, 399–410.Google Scholar
Antonia, R. A., PHAN-THIEN, N. & Chambers, A. J. 1980 Taylor's hypothesis and the probability density functions of temporal velocity and temperature derivatives in a turbulent flow J. Fluid Mech. 100, 193–208.Google Scholar
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Beguier, C., Dekeyser, I. & Launder, B. E. 1978 Ratio of scalar and velocity dissipation time scales in shear flow turbulence Phys. Fluids 21, 307–310.Google Scholar
Browne, L. W. B., Antonia, R. A. & Rajagopalan, S. 1982 The spatial derivative of temperature in a turbulent flow and Taylor's hypothesis Phys. Fluids 26, 1222–1227.Google Scholar
Champagne, F. H. 1978 The fine-scale structure of the turbulent velocity field J. Fluid Mech. 86, 67–108.Google Scholar
Corrsin, S. 1953 Remarks on turbulent heat transfer: an account of some features of the phenomenon in fully turbulent regions. In Proc. Thermodynamics Symposium, Iowa.
Elghobashi, S. & Launder, B. E. 1981 Modeling the dissipation rate of temperature variance in a thermal mixing layer. In Proc. 3rd Symp. on Turbulent Shear Flows, University of California at Davis, pp. 15.13–15.17.
Freymuth, P. & Uberoi, M. S. 1971 Structure of temperature fluctuations in the turbulent wake behind a heated cylinder Phys. Fluids 14, 2574–2580.Google Scholar
Launder, B. E. 1976 Heat and mass transport. In Turbulence (ed. P. Bradshaw), pp. 231–287. Springer.
Lumley, J. L. & KHAJEH-NOURI, B. 1974 Computational modeling of turbulent transport Adv. Geophys. 18A, 169–192.Google Scholar
Mestayer, P. 1982 Local isotropy and anisotropy in a high-Reynolds-number turbulent boundary layer J. Fluid Mech. 125, 475–504.Google Scholar
Mestayer, P. & Chambaud, P. 1979 Some limitations to measurements of turbulence microstructure with hot and cold wires Boundary-Layer Met. 16, 311–329.Google Scholar
Newman, G. R., Launder, B. E. & Lumley, J. L. 1981 Modelling the behaviour of homogeneous scalar turbulence J. Fluid Mech. 111, 217–232.Google Scholar
Owen, R. G. 1973 An analytical turbulent transport model applied to non-isothermal fully-developed duct flows. Ph.D. thesis, The Pennsylvania State University.
Sreenivasan, K. R., Antonia, R. A. & Danh, H. Q. 1977 Temperature dissipation fluctuations in a turbulent boundary layer Phys. Fluids 20, 1238–1249.Google Scholar
Sreenivasan, K. R. & Tavoularis, S. 1980 On the skewness of the temperature derivative in turbulent flows J. Fluid Mech. 101, 783–795.Google Scholar
Tavoularis, S. & Corrsin, S. 1981 Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Part 2. The fine structure J. Fluid Mech. 104, 349–367.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Van Atta, C. W. 1974 Influence of fluctuations in dissipation rates on some statistical properties of turbulent scalar fields Izv. Atmos. Ocean. Phys. 10, 712–719.Google Scholar
Van Atta, C. W. 1977 Second-order spectral local isotropy in turbulent scalar fields J. Fluid Mech. 80, 609–615.Google Scholar
Verollet, E. 1972 Etude d'une couche limite turbulente avec aspiration et chauffage à la paroi. Thèse Doctorat ès Sciences. Université d'Aix-Marseille (also Rapport CEA-R-4872, 1977).
Wyngaard, J. C. 1971 Effect of velocity sensitivity of temperature derivative statistics in isotropic turbulence J. Fluid Mech. 48, 763–769.Google Scholar
Wyngaard, J. C. 1976 The maintenance of temperature derivative skewness in large Reynolds number turbulence. (Unpublished manuscript.)
Wyngaard, J. C. & Clifford, S. F. 1977 Taylor's hypothesis and high frequency turbulence spectra J. Atmos. Sci. 34, 922–929.Google Scholar