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The Spectra of Single Reactants in Homogeneous Turbulence

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Frontiers in Fluid Mechanics

Abstract

A closure is proposed which is appropriate for a numerical study of the spectrum of a single, chemically-reactive species in turbulence. The objective is to predict the effect of moderate rate reaction kinetics on scalar spectra in situations in which the fluid density is not significantly affected by the reaction. The method of approach is to use the Fourier transform of the two-point scalar probability density function as the primary independent variable whose evolution from an initial state is computed. Two closure approximations are needed, one for turbulent transport and one for molecular diffusion. We propose an EDONM-style spectral closure to represent the former and a cluster expansion closure due to Lundgren for the latter. These two closures are combined to preserve almost all realizability constraints of the system except the coincidence property of two-point density functions. Preliminary calculations have been made in the no-reaction limit to reproduce previous spectral results. Computations of linear reaction kinetic spectra are under way with the expectation that the results can be compared with previous flux cascade spectral predictions. More general reaction kinetic situations will also be investigated.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY, 11794, USA

    Edward E. O’Brien

Authors
  1. Edward E. O’Brien
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Editor information

Editors and Affiliations

  1. The Technological Institute, Northwestern University, Evanston, IL, 60201, USA

    Stephen H. Davis Ph.D.

  2. Sibley School of Mechanical and Aerospace Engineering, Cornell University, 238 Upson Hall, Ithaca, NY, 14853, USA

    John L. Lumley Ph.D.

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© 1985 Springer-Verlag Berlin Heidelberg

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O’Brien, E.E. (1985). The Spectra of Single Reactants in Homogeneous Turbulence. In: Davis, S.H., Lumley, J.L. (eds) Frontiers in Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46543-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-46543-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46545-1

  • Online ISBN: 978-3-642-46543-7

  • eBook Packages: Springer Book Archive

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