Moreau, V. The SquAd Derivation: A Square Additive Approach to the Turbulent Prandtl Number. Open Research Europe 2023, 3, 43, doi:10.12688/openreseurope.15367.1.
Moreau, V. The SquAd Derivation: A Square Additive Approach to the Turbulent Prandtl Number. Open Research Europe 2023, 3, 43, doi:10.12688/openreseurope.15367.1.
Moreau, V. The SquAd Derivation: A Square Additive Approach to the Turbulent Prandtl Number. Open Research Europe 2023, 3, 43, doi:10.12688/openreseurope.15367.1.
Moreau, V. The SquAd Derivation: A Square Additive Approach to the Turbulent Prandtl Number. Open Research Europe 2023, 3, 43, doi:10.12688/openreseurope.15367.1.
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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
