Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence

L Danaila, RA Antonia - Physics of Fluids, 2009 - pubs.aip.org
For moderate Reynolds numbers, the spectral scaling exponents of both velocity [E (k)∝ k−
mu] and the transported passive scalar [E θ (k)∝ k− m θ] fields exhibit departures from the
asymptotic prediction mu= m θ= 5/3⁠. However, at the same Reynolds number, the passive
scalar spectrum for homogeneous isotropic turbulence is closer to the universal asymptotic
state than the dynamic velocity field that transports it. This paper provides a possible
explanation for this behavior, in the case of a gaseous mixing with Prandtl (or Schmidt) …
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