Highly resolved direct numerical simulations are used to study the differential diffusion of passive scalars of above-unity Schmidt number in low Reynolds number turbulence. Both the coherency and the spectrum of the two-scalar difference obey Batchelor scaling based on the parameters of the less diffusive scalar. A reverse spectral transfer effect due to velocity modes in the far dissipation range is identified, which may be important at very high Schmidt numbers.
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Yeung et al. (2000) studied this question.
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