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Density fluctuation correlations in free turbulent binary mixing

  • P. Chassaing (a1), G. Harran (a2) and L. Joly (a3)

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.

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Bauer, P. T, Zumwalt, G. W. & Fila, L. J.1968A numerical method and an extension of the Korst jet mixing theory for multispecie turbulent jet mixing. AIAA Paper 68 (112), 6th Aerospace Sciences Meeting, New York.

Beguier, C., Dekeyser, I. & Launder, B. E.1978Ratio of scalar and velocity dissipation time scales in shear flow turbulence. Phys. Fluids A 21, 307310.

Birch, A. D., Brown, D. R., Dodson, M. G. & Thomas, J. R. 1978 The turbulent concentration field of a methane jet. J. Fluid Mech. 88, 431449.

Bogulawski, L. & Popiel, C. O. 1979 Flow structure of the free round jet in the initial region. J. Fluid Mech. 90, 531539.

Bradbury, L. J. S. 1965 The structure of a self-preserving turbulent plane jet. J. Fluid Mech. 23, 3164.

Bradbury, L. J. S.1967Simple expressions for the spread of turbulent jets. Aero. Q.18, 133142.

Chassaing, P.1977Heat transfer from cylindrical anemometer probes in CO2-Air mixtures. Phys. Fluids20, 12601262.

Chen, J. Y, Gouldin, F. C. & Lumley, J. L.1987Second-order modelling of a turbulent nonpremixed H2-Air jet flame with intermittency and conditional averaging. Combust. Sci. Tech.53, 235257.

Driscoll, J. F, Schefer, R. W. & Dibble, R. W.1982Mass fluxes $\overline{\rho^{\prime} u^{\prime}}$ and $\overline{\rho^{\prime} v^{\prime}}$ measured in a turbulent nonpremixed flame. Ninth Symp. on Combustion, pp. 477485. The Combustion Institute.

Grandmaison, E. W., Rathgeber, D. E. & Becker, H. A.1982Some characteristics of concentration fluctuation in free turbulent jets. Can. J. Chem. Engng60, 212219.

Larue, J. C. & Libby, P. A.1977Measurements in the turbulent boundary layer with slot injection of helium. Phys. Fluids20, 192202.

Larue, J. C. & Libby, P. A.1980Further results related to the turbulent boundary layer with slot injection of helium. Phys. Fluids23, 11111118.

Sami, S. 1967 Turbulent energy in jet flow. J. Fluid Mech. 29, 8192.

Sforza, P. M. & Mons, R. F.1978Mass momentum and energy transport in turbulent free jets. Intl J. Heat Mass Transfer21, 371384.

Shih, T. H., Lumley J. L. & Janicka, J. 1987 Second-order modelling of a variable-density mixing layer. J. Fluid Mech. 180, 93116.

So, R. M. C. & LiuT. M.1986On self-preserving, variable-density, turbulent free jets. J. Appl. Maths Phys.37, 538558.

So, R. M. C., Zhu, J. Y., Otügen, M. V. & Hwang, B. C.1990Some measurements in a binary gas jet. Exps. Fluids9, 237284.

Wygnanski, I. & Fiedler, H. 1969 Some measurements in the self preserving jet. J. Fluid Mech. 38, 577612.

Zhu, J. Y., So, R. M. C. & Otügen, M. V.1989Mass transfer in a binary gas jet. AIAA J.27, 11321135.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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