The Turbulent Schmidt Number
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We analyze a large database generated from recent direct numerical simulations of passive scalars sustained by a homogeneous mean gradient and mixed by homogeneous and isotropic turbulence on grid resolutions of up to 40963 and extract the turbulent Schmidt number over large parameter ranges: the Taylor microscale Reynolds number between 8 and 650 and the molecular Schmidt number between 1/2048 and 1024. While the turbulent Schmidt number shows considerable scatter with respect to the Reynolds and molecular Schmidt numbers separately, it exhibits a sensibly unique functional dependence with respect to the molecular Péclet number. The observed functional dependence is motivated by a scaling argument that is standard in the phenomenology of threedimensional turbulence. Copyright © 2014 by ASME.
author list (cited authors)
Donzis, D. A., Aditya, K., Sreenivasan, K. R., & Yeung, P. K.