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In this work, a transformation, which maps the mean velocity profiles of compressible wall-bounded turbulent flows to the incompressible law of the wall is proposed. Unlike existing approaches, the proposed transformation successfully…

流体动力学 · 物理学 2021-08-23 Kevin Patrick Griffin , Lin Fu , Parviz Moin

In this work, a near-wall model, which couples the inverse of a recently developed compressible velocity transformation [Griffin, Fu, & Moin, PNAS, 118:34, 2021] and an algebraic temperature-velocity relation, is developed for high-speed…

流体动力学 · 物理学 2023-09-11 Kevin Patrick Griffin , Lin Fu , Parviz Moin

Velocity and temperature distributions are both crucial for modeling compressible wall-bounded turbulent flows. The compressible law of the wall for velocity has been extensively examined through velocity transformations. However, a…

流体动力学 · 物理学 2026-03-06 Youjie Xu , Steffen J. Schmidt , Nikolaus A. Adams

Compressibility transformations are used to relate hypersonic zero-pressure-gradient (ZPG) turbulent boundary layers (TBLs) to incompressible reference states, but their assessment has largely focused on the collapse of transformed mean…

流体动力学 · 物理学 2025-12-11 Engin Danis

This work assesses several popular transformations for the velocity profile through their application to several types of non-canonical compressible wall-bounded turbulent flows. Specifically, this work explores DNS databases of…

流体动力学 · 物理学 2022-05-03 Tianyi Bai , Kevin P. Griffin , Lin Fu

We discover unified scaling laws for the mean wall shear stress and the mean velocity profile in turbulent boundary layers subject to favorable and adverse mean pressure gradients-including flows with separation and reattachment. We use the…

流体动力学 · 物理学 2026-04-14 Gonzalo Arranz , Adrian Lozano-Duran

The effects of density and viscosity fluctuations on the total stress balance are identified and used to create a new mean velocity transformation for compressible boundary layers. This work is enabled by an extensive database of direct…

流体动力学 · 物理学 2023-02-28 Han Lee , Pino Martin , Owen Williams

We introduce a novel approach to derive compressibility corrections for Reynolds-averaged Navier-Stokes (RANS) models. Using this approach, we derive variable-property corrections for wall-bounded flows that take into account the distinct…

流体动力学 · 物理学 2025-09-17 Asif Manzoor Hasan , Alex Jose Elias , Florian Menter , Rene Pecnik

We develop innovative analytical expressions for the mean wind and potential temperature flux profiles in convective boundary layers (CBLs). CBLs are frequently observed during daytime as the Earth's surface is warmed by solar radiation.…

流体动力学 · 物理学 2023-08-07 Luoqin Liu , Srinidhi N. Gadde , Richard J. A. M. Stevens

A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, viscous and integral scales of…

流体动力学 · 物理学 2015-05-28 B. Dubrulle

We establish a theoretical framework for predicting friction and heat transfer coefficients in variable-properties forced air convection. Drawing from concepts in high-speed wall turbulence, which also involves significant temperature,…

流体动力学 · 物理学 2024-12-18 Davide Modesti , Sergio Pirozzoli

We study compressible turbulent flow in a circular pipe, at computationally high Reynolds number. Classical related issues are addressed and discussed in light of the DNS data, including validity of compressibility transformations,…

流体动力学 · 物理学 2018-10-10 Davide Modesti , Sergio Pirozzoli

In stars and planets natural processes heat convective flows in the bulk of a convective region rather than at hard boundaries. By characterizing how convective dynamics are determined by the strength of an internal heating source we can…

流体动力学 · 物理学 2024-04-16 Whitney T. Powers , Evan H. Anders , Benjamin P. Brown

In supersonic and hypersonic flows, the near-wall density variation due to wall cooling poses a challenge for accurately predicting the near-wall velocity and temperature profiles using classical eddy viscosity turbulence models.…

流体动力学 · 物理学 2025-08-19 Zifei Yin

High-speed vehicles experience a highly challenging environment in which the free-stream Mach number and surface temperature greatly influence aerodynamic drag and heat transfer. The interplay of these two parameters strongly affects the…

流体动力学 · 物理学 2024-02-29 Michele Cogo , Umberto Baù , Mauro Chinappi , Matteo Bernardini , Francesco Picano

We study numerically the dependence of heat transport on the maximum velocity and shear rate of physical circulating flows, which are prescribed to have the key characteristics of the large-scale mean flow observed in turbulent convection.…

混沌动力学 · 物理学 2009-11-07 Emily S. C. Ching , K. M. Pang

A composite representation of the turbulent boundary-layer velocity profile is proposed, which combines a recently determined accurate interpolation of the universal law of the wall with a simple analytical expression of the smooth…

流体动力学 · 物理学 2017-09-05 Paolo Luchini

Scaling of the mean velocity profiles has been studied by many researchers, since it provides a template of universal dynamical patterns across a range of Reynolds numbers. Various normalization schemes have been shown in the past, some…

流体动力学 · 物理学 2024-12-04 T. -W. Lee

In compressible turbulent boundary layers (TBLs), roughness drag is typically characterised by first applying a velocity transformation to account for compressibility, after which the momentum deficit $\Delta U^+$ (Hama, 1954) and the…

In this study,we investigate the characteristics of three-dimensional turbulent boundary layers influenced by transverse flow and pressure gradients. Our findings reveal that even without assuming an infinite sweep, a fully developed…

流体动力学 · 物理学 2024-07-23 Youcheng Xi , Bowen Yan , Guangwen Yang , Song Fu
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