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Density fluctuation correlations in free turbulent binary mixing

Published online by Cambridge University Press:  26 April 2006

P. Chassaing ,
G. Harran  and
L. Joly
P. Chassaing
Affiliation:
Institut National Polytechnique, ENSEEIHT, 2 rue Camichel, 31000 Toulouse, France.
G. Harran
Affiliation:
Institut de Mécanique des Fluides, avenue du Professeur C. Soula, 31400 Toulouse, France.
L. Joly
Affiliation:
ENSICA, 49 avenue L. Blum 31056 Toulouse, France.
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Abstract

This paper is devoted to the analysis of the turbulent mass flux and, more generally, of the density fluctuation correlation (d.f.c.) effects in variable-density fluid motion. The situation is restricted to the free turbulent binary mixing of an inhomogeneous round jet discharging into a quiescent atmosphere. Based on conventional (Reynolds) averaging, a ternary regrouping of the correlations occurring in the statistical averaging of the open equations is first introduced. Then an exact algebraic relationship between the d.f.c. terms and the second-order moments is demonstrated. Some consequences of this result on the global behaviour of variable-density jets are analytically discussed. The effects of the d.f.c. terms are shown to give a qualitative explanation of the influence of the ratio of the densities of the inlet jet and ambient fluid on the centerline decay rates of mean velocity and mass fraction, the entrainment rate and the restructuring of the jet. Finally, the sensitivity of second-order modelling to the d.f.c. terms is illustrated and it is suggested that such terms should be considered as independent variables in the closing procedure.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 279 , 25 November 1994 , pp. 239 - 278
Copyright
© 1994 Cambridge University Press

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