Experiments on a reacting plume—2. Conditional concentration statistics

Brown, Richard J. & Bilger, Robert W. (1998) Experiments on a reacting plume—2. Conditional concentration statistics. Atmospheric Environment, 32(4), pp. 629-646.

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A detailed study is made of reactive scalar statistics conditional on the value of a conserved scalar in a non-buoyant reactive plume of NO in a turbulent grid flow doped with O3 using the reaction NO + O3 → NO2 + O2 + 200 kJ mol−1 (in the absence of UV radiation). Use of such conditional statistics makes it possible to separate the effects of turbulent mixing and chemical reaction. Simultaneous measurements of two reactive scalars and two orthogonal turbulent velocities are made using high-resolution instruments. Radial profiles of scalar statistics are taken through the plume. It is found that the reactive scalar means conditional on a conserved scalar lack significant dependence on radial position and that conditional variance around the conditional mean is relatively small. This is in agreement with similar findings in completely different types of turbulent reacting flows. Detailed experiments have been conducted at a single location where the ratio of initial reactant concentrations has been varied by a factor of 30 and the Damko¨hler number (the ratio of the flow timescale to that of the chemical reaction) by a factor of 6, but without measurable effect on the flow field. The conditional reactive scalar results are presented and their usefulness for investigating the reactive behaviour of the plume is demonstrated. Use is made of the stoichiometiic distance, the location where the unconditional mean conserved scalar is equal to the initial concentration of ambient reactant. Preliminary results of the conditional moment closure (CMC) model of Klimenko (1990) and Bilger (1993) are compared with conditional experimental data. The CMC model leads to significant simplification of the equations governing variation of reactive scalars in the flow. The equations are solved numerically with low computational requirements. Weighting of the conditional values with the conserved scalar probability density function yields the conventional reactive scalar means. CMC modelling results are shown to be in good agreement with the experimental data. Limiting cases (equilibrium and reaction dominated) for the reactive scalar statistics are derived from the conserved scalar statistics and form bounds on both the experimental and CMC predictions as expected from theoretical considerations. Application of the CMC model to atmospheric flows is discussed. A good estimate of the covariance is also made from the conditional reactive scalar means.

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ID Code: 10328
Item Type: Journal Article
Refereed: Yes
Additional Information: For more information, please refer to the journal's website (see hypertext link) or contact the author.
Keywords: Plume modelling, conditional statistics, turbulent mixing, plume chemistry (nonlinear), nitrogen oxides/ozone reactions
DOI: 10.1016/S1352-2310(97)00295-1
ISSN: 1352-2310
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > INTERDISCIPLINARY ENGINEERING (091500) > Turbulent Flows (091508)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright 1998 Elsevier
Copyright Statement: NOTICE: this is the author’s version of a work that was accepted for publication in [Atmospheric Environment]. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in [Atmospheric Environment], [VOL32, ISSUE4, (1998)] DOI 10.1016/S1352-2310(97)00295-1
Deposited On: 23 Oct 2007 00:00
Last Modified: 15 Oct 2012 01:12

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