TY - JOUR
T1 - Temperature-Invariant Scaling for Compressible Turbulent Boundary Layers with Wall Heat Transfer
AU - Shadloo, Mostafa Safdari
AU - Hadjadj, Abdellah
AU - Hussain, Fazle
N1 - Funding Information:
The first two authors gratefully knowledge financial support from Labex project EMC3 “Energy Materials and Clean Combustion Center.” This work was also funded by the Institut National des Sciences Appliquées de Rouen through a BQR (Bonus Qualité Recherche) project. This work was performed using HPC resources from GENCI [CCRT/CINES/IDRIS] (Grant 2016-0211640) and from CRIANN (Centre Régional Informatique d’Applications Numériques de Normandie, Rouen).
Publisher Copyright:
© 2018 Taylor & Francis Group, LLC.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/7/3
Y1 - 2018/7/3
N2 - In a recent paper by Zhang et al. in 2012, a Mach number-invariant scaling was proposed to account for the effect of variation of free-stream Mach number in supersonic turbulent boundary layers. The present work focuses on the effect of variation of wall temperature with strong heating and cooling at the wall. Direct numerical simulation is used to study scaling and turbulence structure of a spatially evolving Mach 2 supersonic boundary layer at a friction Reynolds number of 500. A new scaling law is proposed to account for temperature-dependent fluid-property variations. This universal scaling appears superior to the existing models with the novelty that it applies not only for the mean-velocity profile but also extends to the turbulent transport, production, and dissipation terms in the budget of the turbulent kinetic energy.
AB - In a recent paper by Zhang et al. in 2012, a Mach number-invariant scaling was proposed to account for the effect of variation of free-stream Mach number in supersonic turbulent boundary layers. The present work focuses on the effect of variation of wall temperature with strong heating and cooling at the wall. Direct numerical simulation is used to study scaling and turbulence structure of a spatially evolving Mach 2 supersonic boundary layer at a friction Reynolds number of 500. A new scaling law is proposed to account for temperature-dependent fluid-property variations. This universal scaling appears superior to the existing models with the novelty that it applies not only for the mean-velocity profile but also extends to the turbulent transport, production, and dissipation terms in the budget of the turbulent kinetic energy.
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U2 - 10.1080/01457632.2017.1357675
DO - 10.1080/01457632.2017.1357675
M3 - Article
AN - SCOPUS:85028570969
VL - 39
SP - 923
EP - 932
JO - Heat Transfer Engineering
JF - Heat Transfer Engineering
SN - 0145-7632
IS - 11
ER -