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The SquAd derivation: a Square Additive Approach to the Turbulent Prandtl Number

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Submitted:

07 December 2022

Posted:

08 December 2022

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Abstract
A formula for the turbulent Prandtl number is derived in terms of local variables available from two-equations turbulence models. The derivation is a direct consequence of the expected square additivity of the molecular and turbulent parameters defining the effective viscosity and the effective conductivity. The formula does not degenerate and leads to a Kays like formulation if approximated. Its utility and its limitation are discussed.
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