Hostname: page-component-7bb8b95d7b-2h6rp Total loading time: 0 Render date: 2024-09-13T14:46:07.916Z Has data issue: false hasContentIssue false

An experimental study of a reactive plume in grid turbulence

Published online by Cambridge University Press:  26 April 2006

R. J. Brown
Affiliation:
Department of Mechanical and Mechatronic Engineering, University of Sydney, NSW 2006, Australia
R. W. Bilger
Affiliation:
Department of Mechanical and Mechatronic Engineering, University of Sydney, NSW 2006, Australia

Abstract

Experimental results for a reactive non-buoyant plume of nitric oxide (NO) in a turbulent grid flow doped with ozone (O3) are presented. The Damköhler number (ND) for the experiment is of order unity indicating the turbulence and chemistry have similar timescales and both affect the chemical reaction rate. Continuous measurements of two components of velocity using hot-wire anemometry and the two reactants using chemiluminescent analysers have been made. A spatial resolution for the reactants of four Kolmogorov scales has been possible because of the novel design of the experiment. Measurements at this resolution for a reactive plume are not found in the literature. The experiment has been conducted relatively close to the grid in the region where self-similarity of the plume has not yet developed. Statistics of a conserved scalar, deduced from both reactive and non-reactive scalars by conserved scalar theory, are used to establish the mixing field of the plume, which is found to be consistent with theoretical considerations and with those found by other investigators in non-reactive flows. Where appropriate the reactive species means and higher moments, probability density functions, joint statistics and spectra are compared with their respective frozen, equilibrium and reaction-dominated limits deduced from conserved scalar theory. The theoretical limits bracket reactive scalar statistics where this should be so according to conserved scalar theory. Both reactants approach their equilibrium limits with greater distance downstream. In the region of measurement, the plume reactant behaves as the reactant not in excess and the ambient reactant behaves as the reactant in excess. The reactant covariance lies outside its frozen and equilibrium limits for this value of ND. The reaction rate closure of Toor (1969) is compared with the measured reaction rate. The gradient model is used to obtain turbulent diffusivities from turbulent fluxes. Diffusivity of a non-reactive scalar is found to be close to that measured in non-reactive flows by others.

Type
Research Article
Copyright
© 1996 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

Anand, M. S. & Pope, S. B. 1985 Diffusion behind a line source in grid turbulence. Turbulent Shear Flows 4 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 4661. Springer.
Bange, P. 1993 Hidden photostationary equilibrium: a case study on the effect of monitor averaging on the calculated oxidation rate of NO to NO2 in the plume of a power plant. Atmos. Environ. 27A, 573580.CrossRefGoogle Scholar
Bendat, J. S. & Piersol, A. G. 1971 Random Data: Analysis and Measurement Procedures Wiley Interscience.
Bilger, R. W. 1976 Turbulent jet diffusion flames. Prog. Energy Combust. Sci. 13, 101135.Google Scholar
Bilger, R. W. 1980a Turbulent flows with non-premixed reactants. In Turbulent Reacting Flows (ed. P. A. Libby & F. A. Williams), pp. 65113. Springer.
Bilger, R. W. 1980b Perturbation analysis of turbulent nonpremixed combustion. Combust. Sci. Technol. 22, 25161.Google Scholar
Bilger, R. W. 1993 Conditional moment methods for turbulent reacting flow. Phys. Fluids A 5, 436444.Google Scholar
Bilger, R. W., Mudford, N. R. & Atkinson, J. D. 1985 Comments on ‘Turbulent effects on the chemical reaction for a jet in a nonturbulent stream and for a plume in a grid-generated turbulence’ [Phys. Fluids 27, 77–86]. Phys. Fluids 28, 31753177.Google Scholar
Bilger, R. W., Sajetran, L. R. & Krishnamoorthy, L. V. 1991 Reaction in a scalar mixing layer. J. Fluid Mech. 233, 211242.Google Scholar
Breidenthal, R. E. 1979 Structure in turbulent mixing layers and wakes using a chemical reaction. J. Fluid Mech. 109, 124.Google Scholar
Bremhorst, K., Krebs, L., Müller, U. & Listijono, J. B. H. 1989 Application of a gradient diffusion and dissipation timescale ratio model for prediction of mean and fluctuating temperature fields in liquid sodium downstream of a multi-bore jet block. Intl J. Heat Mass Transfer 32, 20372046.Google Scholar
Britter, R. E., Hunt, J. C. R., Marsh, G. L. & Snyder, W. H. 1983 The effects of stable stratification on turbulent diffusion and the decay of grid turbulence. J. Fluid Mech. 127, 2744.Google Scholar
Broadwell, J. E. & Breidenthal, R. E. 1982 A simple model of mixing and chemical reaction in a turbulent shear layer. J. Fluid Mech. 125, 397410.Google Scholar
Broadwell, J. E. & Mungal, M. G. 1991 Large-scale structures and molecular mixing. Phys. Fluids A 3, 11931206.Google Scholar
Builtjes, P. J. H. 1983 A comparison between chemically reacting plume models and wind tunnel experiments. In Air Pollution Modelling and its Application 11 (ed. C. de Wispelaere), pp. 5984. Plenum Press.
Cheng, L., Peake, E., Rogers, D. & Davis, A. 1986 Oxidation of nitric oxide controlled by turbulent mixing in plumes from oil sands extraction plants. Atmos. Environ. 20, 16971703.Google Scholar
Corrsin, S. 1961 The reactant concentration spectrum in turbulent mixing with a first order reaction. J. Fluid Mech. 11, 407416.Google Scholar
Corrsin, S. 1964 Further consideration of Onsager's cascade model for turbulent spectra. Phys. Fluids 7, 11561159.Google Scholar
Delany, A. C., Fitzjarrald, D. R., Lenschow, D. H., Pearson, R., Wendel, G. J. & Woodruff, B. 1986 Direct measurements of nitrogen oxides and ozone fluxes over grassland. J. Atmos. Chem. 4, 429444.Google Scholar
Fackrell J. E. & Robins, A. G. 1982 Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer. J. Fluid Mech. 117, 126.Google Scholar
Gad-El-Hak, M. & Morton, J. B. 1979 Experiments on the diffusion of smoke in isotropic turbulent flow. AIAA J. 17, 558562.Google Scholar
Gerhke, P. J. & Bremhorst, K. 1993 Lateral velocity fluctuations and dissipation timescale ratios for prediction of mean and fluctuating temperature fields. Intl J. Heat Mass Transfer 36 1943–1952 19431952.Google Scholar
Gibson, M. M., Jones, W. P. & Kanellopoulos, V. E. 1989 Turbulent temperature mixing layer; measurement and modelling. In Turbulent Shear Flows 6 (ed. J.-C. Andre, J. Cousteix, F. Durst, B. Launder, F. Schmidt & J. Whitelaw), pp. 119128. Springer.
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Ibrahim, S. S. 1987 Nonequilibrium chemistry in a turbulent smog chamber. PhD thesis, University of Sydney.
Jayesh & Warhaft, Z. 1992 Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in grid generated turbulence. Phys. Fluids A 4, 22922307.Google Scholar
Kamp de Feriet, J. 1938 Some recent researches on turbulence. In Proc. 5th Intl Congr. Appl. Mech. Cambridge, MA, pp. 289355.
Kerstein, A. L. 1992 Linear-eddy modelling of turbulent transport. Part 7. Finite-rate chemistry and multi-stream mixing. J. Fluid Mech. 240, 289313.Google Scholar
Klimenko, A.Yu. 1990 Multicomponent diffusion of various admixtures in a turbulent flow. Fluid Dyn. 25, 327334.Google Scholar
Komori, S., Hunt, J. C. R., Kanzaki, T. & Murakami, Y. 1991 The effects of turbulent mixing on the correlation between two species and on concentration fluctuations in non-premixed reacting flows. J. Fluid Mech. 228, 629659.Google Scholar
Komori, S., Nagata, K., Kanzaki, T. & Murakami, Y. 1993 Measurements of mass flux in a turbulent liquid flow with a chemical reaction. AIChE J. 39, 16111620.Google Scholar
Komori, S & Ueda, H. 1984 Turbulent effects on the chemical reaction for a jet in a nonturbulent stream and for a plume in a grid-generated turbulence. Phys. Fluids A 27, 7786.Google Scholar
Koochesfahani, M. M. & Dimotakis, P. E. 1986 Mixing and chemical reaction in a turbulent liquid mixing layer. J. Fluid Mech. 170, 83112.Google Scholar
Kosály, G. 1993 Frequency spectra of reactant fluctuations in turbulent flows. J. Fluid Mech. 246, 489502.Google Scholar
LaRue, J. C., Libby, P. A. & Seshadri, D. V. R. 1981 Further results on the thermal mixing layer downstream of a turbulence grid. Phys. Fluids 24 1927–1933 19271933.Google Scholar
Li, J. D. & Bilger, R. W. 1996 The diffusion of conserved and reactive scalars behind line sources in homogeneous turbulence. Submitted to J. Fluid Mech.
Li, J. D., Brown, R. J. & Bilger, R. W. 1992 Experimental study of scalar mixing layer using reactive and passive scalars. In Proc. Eleventh Australasian Fluid Mech. Conf., University of Tasmania, pp. 159162.
Li, J. D., Brown, R. J. & Bilger, R. W. 1995 Spectral measurements of reactive and passive scalars in a turbulent reactive-scalar-mixing layer. Turbulent Shear Flows 9. Springer.(in press).
Libby P. A. & Williams F. A. (ed.) 1980 Turbulent Reacting Flows. Springer.
Ma, B. K. & Warhaft, Z. 1986 Some aspects of the thermal mixing layer in grid turbulence. Phys. Fluids A 29, 31143120.Google Scholar
Mansour, M. S., Bilger, R. W. & Dibble, R. W. 1990 Spatial-averaging effects in Raman/Rayleigh measurements in a turbulent flame. Combust. Flame 82, 411425.Google Scholar
Mell, W. E., Nilsen, V., Kosály, G. & Riley, J. J. 1993 Direct Numerical investigations of the conditional moment closure model for nonpremixed turbulent reacting flows. Combust. Sci. Technol. 91, 179186.Google Scholar
Mell, W. E., Nilsen, V., Kosály, G. & Riley, J. J. 1994 Investigation of closure models for nonpremixed turbulent reacting flow. Phys. Fluids 6, 13311356.Google Scholar
Mickelsen, W. R. 1960 Measurements of the effect of molecular diffusivity in turbulent diffusion. J. Fluid Mech. 1, 397400.Google Scholar
Mylne, K. R., Mason, P. J. 1991 Concentration fluctuation measurements in a dispersing plume at a range of up to 1000 m. Q. J. R. Met. Soc. 117, 177206.Google Scholar
Mudford, N. R. & Bilger, R. W. 1983 A facility for the study of nonequilibrium chemistry in an isothermal turbulent flow. In Proc. of the Eighth Australasian Fluid Mech. Conf., University of Newcastle, pp. 7C.97C.12.
Nakamura, I., Sakai, Y. & Miyata, M. 1987 Diffusion of matter by a non-buoyant plume in grid-generated turbulence. J. Fluid Mech. 178, 379403.Google Scholar
Nye, J. O. & Brodkey, R. S. 1967 The scalar spectrum in the viscous-convective subrange. J. Fluid Mech. 29, 151163.Google Scholar
Peters, N. 1988 Laminar flamelet concepts in turbulent combustion. Symp. (Intl) Combust. 21st, pp. 12311250. Pittsburgh: Combustion Institute.
Pope, S. B. 1985 PDF methods for turbulent reactive flows. Prog. Energy Combust. Sci. 11, 11992.Google Scholar
Post, K. & Kewley, D. J. 1978 Calibration of a ozone calibration reference instrument. Clean Air 12, 25.Google Scholar
Prasad, R. R. & Sreenivasan, K. R. 1990 Quantitative three-dimensional imaging and the structure of passive scalar fields in fully turbulent flows. J. Fluid Mech. 216, 134.Google Scholar
Sawford, B. L. 1987 Conditional concentration statistics for surface plumes in the atmospheric boundary layer. Boundary-Layer Met. 38, 209223.Google Scholar
Sawford, B. L., Frost, C. C. & Allan, T. C. 1985 Atmospheric boundary-layer measurements of concentration statistics from isolated and multiple sources. Boundary-Layer Met. 31, 249268.Google Scholar
Shea, J. R. 1977 A chemical reaction in a turbulent jet. J. Fluid Mech. 81, 317333.Google Scholar
Stapountzis, H., Sawford, B. L., Hunt, J. C. R. & Britter, R. E. 1986 Structure of the temperature field downwind of a line source in grid turbulence. J. Fluid Mech. 165, 401424.Google Scholar
Taylor, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 20, 196212.Google Scholar
Toor, H. C. 1969 Turbulent mixing of two species with and without chemical reaction. Indust. Engng Chem. Fund. 8, 655659.Google Scholar
Tsunoda, H., Sakai, I., Nakamura, I. & Liu, S. 1993 The effect of a circular cylinder on the diffusion of matter by a plume. J. Fluid Mech. 246, 419442.Google Scholar
Vila-Guerau de Arellano, J., Duynkerke, P. J., Jonker P. J. & Builtjes, P. J. H. 1993 An observational study on the effects of time and space averaging in photochemical models. Atmos. Environ. 27A, 35362.Google Scholar
Vila-Guerau de Arellano, J., Talmon, A. M. & Builtjes, P. J. H. 1990 A chemically reactive plume model for the NO-NO2-O3 system. Atmos. Environ. 24A, 22372246.Google Scholar
Warhaft, Z. 1984 The interference of thermal fields from line sources in grid turbulence. J. Fluid Mech. 144, 363387.Google Scholar
Warhaft, Z. & Lumley, J. L. 1978 An experimental study of the decay of temperature fluctuations in grid turbulence. J. Fluid Mech. 88, 695684.Google Scholar