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

A peer-reviewed version of this preprint was published in:
Open Research Europe 2023, 3, 43. https://doi.org/10.12688/openreseurope.15367.1

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.
Keywords: 
Prandtl number
;  
turbulent Prandtl number
;  
turbulence model
;  
turbulent thermal conductivity
;  
Heavy Liquid Metal
Subject: 
Physical Sciences  -   Fluids and Plasmas Physics
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