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This paper proposes a simple new closure principle for turbulent shear flows. The turbulent flow field is divided into an outer and an inner region. The inner region is made up of a log-law region and a wall layer. The wall layer is viewed…

Fluid Dynamics · Physics 2010-01-15 Trinh Khanh Tuoc

In most settings, from international pipelines to home water supplies, the drag caused by turbulence raises pumping costs many times higher than if the flow were laminar. Drag reduction has therefore long been an aim of high priority. In…

Fluid Dynamics · Physics 2019-02-14 Ashley P. Willis , Yongyun Hwang , Carlo Cossu

We develop a model for steady, laminar boundary layers over small-scale textured surfaces. Although the texture is small relative to the boundary-layer thickness, it modifies the flow via a slip length. We use matched asymptotic expansions…

Fluid Dynamics · Physics 2026-02-27 Samuel D. Tomlinson , Demetrios T. Papageorgiou

The direct measurement of wall shear stress in turbulent boundary layers (TBL) is challenging, therefore requiring it to be indirectly determined from mean profile measurements. Most popular methods assume the mean streamwise velocity to…

Fluid Dynamics · Physics 2021-12-14 Praveen Kumar , Krishnan Mahesh

In this paper, we derive mathematical formulas for the skin friction coefficient in wall-bounded turbulence based on the Reynolds averaged streamwise momentum equation and the total stress. Specially, with the theoretical or empirical…

Fluid Dynamics · Physics 2020-07-30 Zhenhua Xia , Peng Zhang , Xiang I. A. Yang

A wall-resolved large-eddy simulation (LES) of the fluid flow around a 30P30N airfoil is conducted at a Reynolds number of Rec=750,000 and an angle of attack (AoA) of 9 degrees. The simulation results are validated against experimental data…

Fluid Dynamics · Physics 2024-11-11 Ricard Montalà , Benet Eiximeno , Arnau Miró , Oriol Lehmkuhl , Ivette Rodriguez

A central problem of turbulence theory is to produce a predictive model for turbulent fluxes. These have profound implications for virtually all aspects of the turbulence dynamics. In magnetic confinement devices, drift-wave turbulence…

Plasma Physics · Physics 2020-07-01 R. A. Heinonen , P. H. Diamond

Skin-friction drag induced by wall-bounded turbulent flows accounts for a substantial fraction of energy consumption across commercial aerospace, wind energy, and marine transport. Its active reduction is one of the highest-value targets in…

Fluid Dynamics · Physics 2026-05-15 Atharva Mahajan , Abhijeet Vishwasrao , Yuning Wang , Ricardo Vinuesa

This paper investigates wall boundary condition schemes for the simulation of turbulent flows using the Lattice Boltzmann method (LBM) coupled to turbulence models with wall functions. The analysis focuses on two schemes: a regularized…

Fluid Dynamics · Physics 2025-09-03 Jorge Ponsin , Carlos Lozano

The statistical properties are presented for the direct numerical simulation (DNS) of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) at the verge of separation. The APG TBL has a momentum thickness based…

An important feature of turbulent boundary layers are persistent large-scale coherent structures in the flow. Here, we use Dynamic Mode Decomposition (DMD), a data-driven technique designed to detect spatio-temporal coherence, to construct…

Fluid Dynamics · Physics 2023-02-03 Matthias Engel , Omid Ashtari , Moritz Linkmann

We experimentally study the influence of wall roughness on bubble drag reduction in turbulent Taylor-Couette flow, i.e.\ the flow between two concentric, independently rotating cylinders. We measure the drag in the system for the cases with…

The convection velocity ($U_C$) of turbulent structures has been studied in adverse-pressure-gradient (APG) turbulent boundary layers (TBLs) for a wide range of Reynolds numbers $Re_\tau = 1400 - 4000$. The study is based on estimation of…

Fluid Dynamics · Physics 2022-11-23 Artur Dróżdż , Paweł Niegodajew , Mathias Romańczyk , Witold Elsner

Turbulence enhances the wall shear stress in boundary layers, significantly increasing the drag on streamlined bodies. Other flow features such as freestream pressure gradients and streamwise boundary layer growth also strongly influence…

Fluid Dynamics · Physics 2025-10-10 Ahmed Elnahhas , Perry L. Johnson

Recent direct numerical simulations of the FENE-P model of non-Newtonian hydrodynamics revealed that the phenomenon of drag reduction by polymer additives exists (albeit in reduced form) also in homogeneous turbulence. We introduce here a…

Fluid Dynamics · Physics 2009-11-10 Roberto Benzi , Elisabetta De Angelis , Rama Govindarajan , Itamar Procaccia

The existence of drag reduction by polymer additives, well established for wall-bounded turbulent flows, is controversial in homogeneous, isotropic turbulence. To settle this controversy we carry out a high-resolution direct numerical…

Chaotic Dynamics · Physics 2013-05-29 Prasad Perlekar , Dhrubaditya Mitra , Rahul Pandit

The turbulent flow within and above a sparse canopy is investigated using direct numerical simulations. The balance of Reynolds to viscous stresses within the canopy is observed to be similar to that over a smooth wall. From this, a scaling…

Fluid Dynamics · Physics 2018-10-25 Akshath Sharma , Ricardo García-Mayoral

Motivated by the large effect of turbulent drag reduction by minute concentrations of polymers we study the effects of minor viscosity contrasts on the stability of hydrodynamic flows. The key player is a localized region where the energy…

Chaotic Dynamics · Physics 2021-02-03 Rama Govindarajan , Victor S. L'vov , Itamar Procaccia

One of the main challenges in simulating high Reynolds number ($Re$) turbulent boundary layers (TBLs) is the long streamwise distance required for large-scale outer-layer structures to develop, making such simulations prohibitively…

Fluid Dynamics · Physics 2025-12-12 Ronith Stanly , Timofey Mukha , Martin Karp , Stefano Markidis , Philipp Schlatter

An oscillating spanwise pressure gradient is imposed numerically to control the flow separation and reduce the drag of a turbulent flow in a channel with square bars. The transverse flow produces a maximum drag reduction of 25\%, due to…

Fluid Dynamics · Physics 2021-03-05 Vinh-Tan Nguyen , Pierre Ricco , Gianluca Pironti
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