Preprint
Short Note

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

This version is not peer-reviewed.

Submitted:

07 December 2022

Posted:

08 December 2022

You are already at the latest version

A peer-reviewed article of this preprint also exists.

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 open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

Altmetrics

Downloads

149

Views

46

Comments

0

Subscription

Notify me about updates to this article or when a peer-reviewed version is published.

Email

Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

© 2025 MDPI (Basel, Switzerland) unless otherwise stated