Variable turbulent Prandtl number model and compressible corrections for WMLES of cold wall boundary layers

Tyler Hendrickson, Pramod Subbareddy, Graham V. Candler, Robyn L Macdonald

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Near-wall turbulence models for WMLES are typically extended to compressible, diabatic flows via empirical modifications to the algebraically described eddy viscosity. These modifications are usually also confined to the length scale within the damping function. Recent work has shown that compressible velocity transformations imply a rational modification to the eddy viscosity that is supported by canonical compressible boundary layer scaling laws. This work will show that this rational modification is affected by the local temperature error of the equilibrium wall model; a variable turbulent Prandtl number model is proposed to correct the local temperature discrepancy. WMLES simulations of a Mach 6, cold-wall, flat-plate boundary layer are carried out using several different compressible modifications in the wall model along with constant and variable turbulent Prandtl numbers. The effect on the local temperature profile is shown and the skin friction, heat transfer, and local velocity are not adversely affected by the incorporation of the variable turbulent Prandtl number.

Original languageEnglish (US)
Title of host publicationAIAA SciTech Forum and Exposition, 2024
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624107115
StatePublished - 2024
EventAIAA SciTech Forum and Exposition, 2024 - Orlando, United States
Duration: Jan 8 2024Jan 12 2024

Publication series

NameAIAA SciTech Forum and Exposition, 2024


ConferenceAIAA SciTech Forum and Exposition, 2024
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 2024 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.


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