Effect of Schmidt number on the velocity–scalar cospectrum in isotropic turbulence with a mean scalar gradient

Abstract

We consider transport of a passive scalar by an isotropic turbulent velocity field in the presence of a mean scalar gradient. The velocity–scalar cospectrum measures the distribution of the mean scalar flux across scales. An inequality is shown to bound the magnitude of the cospectrum in terms of the shell-summed energy and scalar spectra. At high Schmidt… (More)

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