Scaling of wall pressure and the peak of streamwise turbulence intensity in compressible wall flows

Fuente: arXiv
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Autores principales: Hasan, Asif Manzoor, Costa, Pedro, Larsson, Johan, Pecnik, Rene
Formato: Preprint
Publicado: 2025
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author Hasan, Asif Manzoor
Costa, Pedro
Larsson, Johan
Pecnik, Rene
author_facet Hasan, Asif Manzoor
Costa, Pedro
Larsson, Johan
Pecnik, Rene
contents This paper develops scaling laws for wall-pressure root-mean-square (r.m.s.) and the peak of streamwise turbulence intensity, accounting for both variable-property and intrinsic compressibility effects -- those associated with changes in fluid volume due to pressure variations. To develop such scaling laws, we express the target quantities as an expansion series in powers of an appropriately defined Mach number. The leading-order term is represented using the scaling relations developed for incompressible flows, but with an effective Reynolds number. Higher-order terms capture intrinsic compressibility effects and are modeled as constant coefficients, calibrated using flow cases specifically designed to isolate these effects. The resulting scaling relations are shown to be accurate for a wide range of turbulent channel flows and boundary layers.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07407
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scaling of wall pressure and the peak of streamwise turbulence intensity in compressible wall flows
Hasan, Asif Manzoor
Costa, Pedro
Larsson, Johan
Pecnik, Rene
Fluid Dynamics
This paper develops scaling laws for wall-pressure root-mean-square (r.m.s.) and the peak of streamwise turbulence intensity, accounting for both variable-property and intrinsic compressibility effects -- those associated with changes in fluid volume due to pressure variations. To develop such scaling laws, we express the target quantities as an expansion series in powers of an appropriately defined Mach number. The leading-order term is represented using the scaling relations developed for incompressible flows, but with an effective Reynolds number. Higher-order terms capture intrinsic compressibility effects and are modeled as constant coefficients, calibrated using flow cases specifically designed to isolate these effects. The resulting scaling relations are shown to be accurate for a wide range of turbulent channel flows and boundary layers.
title Scaling of wall pressure and the peak of streamwise turbulence intensity in compressible wall flows
topic Fluid Dynamics
url https://arxiv.org/abs/2505.07407