Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-21T05:43:13.254Z Has data issue: false hasContentIssue false
  • English
  • Français

Linear-eddy modelling of turbulent transport. Part 7. Finite-rate chemistry and multi-stream mixing

Published online by Cambridge University Press:  26 April 2006

Alan R. Kerstein
Alan R. Kerstein
Affiliation:
Combustion Research Facility, Sandia National Laboratories, Livermore, CA 94551-0969, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The linear-eddy turbulent mixing model, formulated to capture the distinct influences of turbulent convection and molecular transport on turbulent mixing of diffusive scalars, is applied to two mixing configurations in homogeneous flow: a scalar mixing layer and a two-line-source configuration. Finite-rate second-order chemical reactions are considered, as well as the limits of fast reaction and frozen flow. Computed results are compared to measurements in a reacting-scalar mixing layer and in a two-line-source configuration involving passive-scalar mixing. For each configuration, the adjustment of a single model parameter related to the turbulence integral scale yields computed results in good agreement with a variety of measured quantities. The results are interpreted with reference to a simpler model, based solely on large-scale flapping effects, that reproduces many qualitative trends. For three-stream mixing with finite-rate chemistry, a novel dependence of the reactant correlation coefficient on the chemical reaction rate is predicted.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 240 , July 1992 , pp. 289 - 313
Copyright
© 1992 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bilger, R. W., Krishnamoorthy, L. V. & Saetran, L. R. 1989 Use of conditional averaging to obtain biogeochemical reaction rates and stoichiometries under turbulent mixing. Proc. Tenth Australasian Fluid Mech. Conf., pp. 4.33–4.36.Google Scholar
Bilger, R. W., Saetran, L. R. & Krishnamoorthy, L. V. 1991 Reaction in a scalar mixing layer. J. Fluid Mech. 233, 211–242.Google Scholar
Ghoniem, A. F., Heidarinejad, G. & Krishnan, A. 1989 Turbulence-combustion interactions in a reacting shear layer. In Turbulent Reactive Flows (ed. R. Borghi & S. N. B. Murthy.) Lecture Notes in Engineering, vol. 40, pp. 638–671. Springer
Gifford, F. A. 1959 Statistical properties of a fluctuating plume dispersion model. Adv. Geophys. 6, 117–137.Google Scholar
Kerstein, A. R. 1988 A linear-eddy model of turbulent scalar transport and mixing. Combust. Sci. Technol. 60, 391–421.Google Scholar
Kerstein, A. R. 1989 Linear-eddy modeling of turbulent transport. II: Application to shear layer mixing. Combust. Flame 75, 397–413.Google Scholar
Kerstein, A. R. 1990 Linear-eddy modelling of turbulent transport. Part 3. Mixing and differential molecular diffusion in round jets. J. Fluid Mech. 216, 411–435.Google Scholar
Kerstein, A. R. 1991a Linear-eddy modeling of turbulent transport. Part V: Geometry of scalar interfaces. Phys. Fluids A3, 1110–1114.Google Scholar
Kerstein, A. R. 1991b Linear-eddy modelling of turbulent transport. Part 6. Microstructure of diffusive scalar mixing fields. J. Fluid Mech. 231, 361–394.Google Scholar
Kerstein, A. R. 1991c Flapping model of scalar mixing in turbulence. Phys. Fluids A3, 2838–2840.Google Scholar
Kerstein, A. R. 1992 Linear-eddy modeling of turbulent transport. Part 4. Structure of diffusion flames. Combust. Sci. Technol. 81, 75.Google Scholar
Larue, J. C. & Libby, P. A. 1981 Thermal mixing layer downstream of a half-heated grid. Phys. Fluids 24, 597–603.Google Scholar
Leonard, A. 1980 Vortex methods for flow simulation. J. Comput. Phys. 37, 289–335.Google Scholar
Li, K. T. & Toor, H. L. 1986 Turbulent reactive mixing with a series-parallel reaction: Effect of mixing on yield. AIChE J. 32, 1312–1320.Google Scholar
Libby, P. A. 1975 Diffusion of heat downstream of a turbulence grid. Acta Astronaut. 2, 867–878.Google Scholar
Ma, B.-K. & Warhaft, Z. 1986 Some aspects of the thermal mixing layer in grid turbulence. Phys. Fluids 29, 3114–3120.Google Scholar
Mao, K. W. & Toor, H. L. 1971 Second-order chemical reactions with turbulent mixing. Indust. Eng. Chem. Fundam. 10, 192–197.Google Scholar
Saffman, P. G. 1960 On the effect of molecular diffusivity in turbulent diffusion. J. Fluid Mech. 8, 273–283.Google Scholar
Sawford, B. L. & Hunt, J. C. R. 1986 Effects of turbulence structure, molecular diffusion and source size on scalar fluctuations in homogeneous turbulence. J. Fluid Mech. 165, 373–400.Google Scholar
Sirivat, A. & Warhaft, Z. 1983 The effect of a passive cross-stream temperature gradient on the evolution of temperature variance in grid turbulence. J. Fluid Mech. 128, 323–346.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Thomson, D. J. 1990 A stochastic model for the motion of particle pairs in isotropic high-Reynolds-number turbulence, and its application to the problem of concentration variance. J. Fluid Mech. 210, 113–153.Google Scholar
Warhaft, Z. 1984 The interference of thermal fields from line sources in grid turbulence. J. Fluid Mech. 144, 363–387.Google Scholar