A model for the spectrum of passive scalars in an isotropic turbulence field

A simple model is developed for the wavenumber spectrum of the variance of a passive scalar quantity in an isotropic turbulence field. The model can define the spectral distributions at all wavenumbers as an arbitrary function of a scalar Reynolds number Reθ=R Reλ and the Schmidt number Sc=ν/D (wher...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1985-01, Vol.28 (1), p.72-80
Main Authors: Driscoll, Richard J., Kennedy, Lawrence A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Turbulent flows, convection, and heat transfer
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Summary:A simple model is developed for the wavenumber spectrum of the variance of a passive scalar quantity in an isotropic turbulence field. The model can define the spectral distributions at all wavenumbers as an arbitrary function of a scalar Reynolds number Reθ=R Reλ and the Schmidt number Sc=ν/D (where R=τθ/τ e is the scalar/kinetic energy time scale ratio and Reλ=u ’λ/ν is the turbulence Reynolds number). The model is compared with one‐dimensional spectral data over a range of Reynolds numbers and for Sc=0.7, 7, and 700; model and data are shown to be in reasonable agreement.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.865128