Turbulent Prandtl number within a near-wall flow

T HE turbulent Prandtl number variation within the nearwall region of fully developed boundary layers is obtained by using profile analysis. This is achieved by deriving expressions for the eddy diffusivities from Spalding's inner layer formula and its thermal analog. The analysis is performed over two orders of magnitude of the molecular Prandtl number, encompassing most of the common, nonmetallic fluids. The turbulent Prandtl number distribution is found to be complex and dependent on its molecular counterpart within the diffusive sublayer. This behavior has important consequences for the treatment of the near-wall region in numerical calculation methods for thin shear layers.

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