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On the modelling of effects of negative production of temperature-fluctuation intensity in the turbulent mixing layer

Published online by Cambridge University Press:  20 April 2006

A. F. Kurbatskii
Affiliation:
Institute of Theoretical and Applied Mechanics, U.S.S.R. Academy of Sciences, Novosibirsk 630090, U.S.S.R.
N. N. Yanenko
Affiliation:
Institute of Theoretical and Applied Mechanics, U.S.S.R. Academy of Sciences, Novosibirsk 630090, U.S.S.R.

Abstract

Numerical results are presented for the modelling of the spread of heat as a passive scalar contaminant on the basis of a second-order closure model in the mixing layer with an asymmetric mean-temperature profile superimposed on it. Present calculations are in reasonable agreement with experimental data on the region of countergradient transport for heat where the direction of heat diffusion is opposite to the mean gradient diffusion and where the production of temperature fluctuation intensity is negative.

Type
Research Article
Copyright
© 1983 Cambridge University Press

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References

Batchelor, G. K. 1950 Note on free turbulent flows with special reference to the two-dimensional wake J. Aero. Sci. 17, 441445.Google Scholar
Beguier, C., Fulachier, L. & Keffer, J. F. 1978a The turbulent mixing layer with an asymmetrical distribution of temperature J. Fluid Mech. 89, 561587.Google Scholar
Beguier, C., Giralt, F., Fulachier, L. & Keffer, J. F. 1978b Negative production in turbulent shear flows. In Structure and Mechanisms of Turbulence II (ed. H., Fiedler). Lecture Notes in Physics, vol. 76, pp. 2235. Springer.
Dekeyser, I. 1982 Etude d'un jet plan dissymétrique chauffé en régime turbulent incompressible. Thèse Docteur Sciences, Université d'Aix–Marseille II.
Fabris, G. 1979 Turbulent temperature and thermal flux characteristics in the wake of a cylinder. In Turbulent Shear Flows I (ed. F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 5570. Springer.
Grad, H. 1949 On the kinetic theory of rarefied gases Communs Pure Appl. Maths 2, 331407.Google Scholar
Hanjalic, K. & Launder, B. E. 1972 A Reynolds stress model of turbulence and its application to thin shear flow J. Fluid Mech. 52, 609638.Google Scholar
Kurbatskii, A. F. 1975a Numerical modelling of turbulent transport processes in the mixing zone Zh. Prikl. Mekh. Tehn. Fiz. 3, 125133. [English transl. J. Appl. Mech. Tech. Phys. 16 (1976), 416–422.]Google Scholar
Kurbatskii, A. F. 1975b Some statistical characteristics of the diffusion of a chemically reactive contaminant in the turbulent mixing zone Zh. Prikl. Mekh. Tehn. Fiz. 6, 4858. [English transl. J. Appl. Mech. Tech. Phys. 16 (1976), 878–885.]Google Scholar
Kurbatskii, A. F. & Onufriev, A. T. 1979 Modelling of turbulent transport in the wake of a cylinder using equations for the third moments Zh. Prikl. Mekh. Tehn. Fiz. 6, 99107.Google Scholar
Kurbatskii, A. F. 1979 On modelling of turbulent convection created by buoyancy. Inst. of Theor. Appl. Mech. U.S.S.R. Acad. Sci., Siberian Branch, Novosibirsk, Preprint no. 6.
Orszag, S. 1970 Analytical theories of turbulence J. Fluid Mech. 41, 363386.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Willis, G. E. & Deardorff, J. W. 1974 A laboratory model of the unstable planetary boundary layer J. Atmos. Sci. 31, 12971307.Google Scholar