Linear-eddy modelling of turbulent transport. Part 3. Mixing and differential molecular diffusion in round jets

The linear-eddy model of turbulent mixing represents a spatially developing flow by simulating the time development along a comoving transverse line. Along this line, scalar quantities evolve by molecular diffusion and by randomly occurring spatial rearrangements, representing turbulent convection. The modelling approach, previously applied to homogeneous turbulence and to planar shear layers, is generalized to axisymmetric flows. This formulation captures many features of jet mixing, including differential molecular diffusion effects. A novel experiment involving two unmixed species in the nozzle fluid is proposed and analysed.

[1]  G. Batchelor.  Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity , 1959, Journal of Fluid Mechanics.

[2]  Israel J Wygnanski,et al.  Some measurements in the self-preserving jet , 1969, Journal of Fluid Mechanics.

[3]  P. Dimotakis,et al.  Implications of recent experimental results for modeling reactions in turbulent flows , 1984 .

[4]  P. Dimotakis,et al.  Similarity of the concentration field of gas-phase turbulent jets , 1990, Journal of Fluid Mechanics.

[5]  Alan R. Kerstein,et al.  A linear-eddy model of turbulent scalar transport and mixing , 1988 .

[6]  Alan R. Kerstein,et al.  Linear-eddy modeling of turbulent transport. II: Application to shear layer mixing , 1989 .

[7]  B. L. Sawford,et al.  Lagrangian Statistical Simulation of Concentration Mean and Fluctuation Fields. , 1985 .

[8]  Robert W. Bilger,et al.  The Structure of Diffusion Flames , 1976 .

[9]  Paul A. Durbin,et al.  A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence , 1980, Journal of Fluid Mechanics.

[10]  J. Broadwell,et al.  A simple model of mixing and chemical reaction in a turbulent shear layer , 1982, Journal of Fluid Mechanics.

[11]  A. Roshko,et al.  On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.

[12]  E. J. List,et al.  Large-scale structure in the far field of byoyant jets , 1989, Journal of Fluid Mechanics.

[13]  N. Peters,et al.  A composite model for the conserved scalar pdf , 1983 .

[14]  Paul E. Dimotakis,et al.  Measurements of entrainment and mixing in turbulent jets , 1985 .

[15]  Richard C. Miake-Lye,et al.  Structure and dynamics of round turbulent jets , 1983 .

[16]  R. Schefer,et al.  Nonreacting turbulent mixing flows , 1986 .

[17]  Juan I. Ramos,et al.  Probability Density Function Calculations in Turbulent Chemically Reacting Round Jets, Mixing Layers and One-Dimensional Reactors , 1985 .

[18]  R. Antonia,et al.  Conditionally sampled measurements in a heated turbulent jet , 1975, Journal of Fluid Mechanics.

[19]  M. Namazian,et al.  Scalar dissipation measurements in the developing region of a jet , 1988 .

[20]  R. Curl.  Dispersed phase mixing: I. Theory and effects in simple reactors , 1963 .

[21]  Z. Warhaft.  The interference of thermal fields from line sources in grid turbulence , 1984, Journal of Fluid Mechanics.

[22]  S. Pope.  PDF methods for turbulent reactive flows , 1985 .

[23]  A. Kerstein.  Computational study of propagating fronts in a Lattice-gas model , 1986 .

[24]  Robert W. Dibble,et al.  Differential Molecular Diffusion Effects in Turbulent Mixing , 1982 .

[25]  Robert W. Bilger.  Turbulent diffusion flames , 1989 .

[26]  Parampreet Singh,et al.  Turbulent mixing in a two‐dimensional jet , 1975 .