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In this paper we discuss recent progress in using the Camassa-Holm equations to model turbulent flows. The Camassa-Holm equations, given their special geometric and physical properties, appear particularly well suited for studying turbulent…

chao-dyn · Physics 2009-10-31 S. Chen , C. Foias , D. D. Holm , E. Olson , E. S. Titi , S. Wynne

In furtherance of our earlier work (Chen \& Sreenivasan, {\it J. Fluid Mech.} {\bf 908}, 2021, p. R3; {\bf 933}, 2022, p. A20 -- together referred to as CS hereafter), we present a self-consistent Reynolds number asymptotics for wall-normal…

Fluid Dynamics · Physics 2023-06-06 Xi Chen , Katepalli R. Sreenivasan

Understanding the re-energization of wind turbine wakes is crucial for the design and control of wind farms. Close to the rotor, this process is determined by the dynamics of the tip vortices. Here, we experimentally investigate the…

Fluid Dynamics · Physics 2025-03-03 Mano Grunwald , Claudia E. Brunner

An improved understanding of how vortices develop and propagate under pulsatile flow can shed important light on the mixing and transport processes including the transition to turbulent regime occurring in such systems. For example, the…

Fluid Dynamics · Physics 2019-12-13 Nicasio Barrere , Javier Brum , Alexandre L'Her , Gustavo L. Sarasúa , Cecilia Cabeza

Turbulent concentric coaxial (annular) pipe flow is numerically investigated using a stochastic one-dimensional turbulence (ODT) model as a stand-alone tool. The dimensionally reduced ODT domain enables fully resolved numerical simulations…

Fluid Dynamics · Physics 2026-02-04 Pei-Yun Tsai , Marten Klein , Heiko Schmidt

We consider the wake flow past a thin two-dimensional flat plate normal to the uniform stream and demonstrate that this flow is turbulent already at a relatively low Reynolds number of $Re = 400$. This is achieved by performing a careful…

Fluid Dynamics · Physics 2026-01-27 Isaac T. Rosin , Melanie S. Chapman , Bartosz Protas , Robert J. Martinuzzi

A multi-layer model of an energy length function is developed by employing recent results of the authors. The theory predicts the complete, mean streamwise turbulent kinetic-energy profile (MKP), in good agreement with empirical data for a…

Fluid Dynamics · Physics 2012-09-25 Xi Chen , Fazle Hussain , Zhen-Su She

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

We use Diffusing Wave Spectroscopy (DWS) to perform the first direct space- and time-resolved measurement of the dissipation rate~$\epsilon$ at the boundary of a turbulent flow. We have shown in a previous publication that this technique…

Fluid Dynamics · Physics 2025-11-06 Enzo Francisco , Julien Lambret , Sébastien Aumaître

In wall-bounded turbulence, a multitude of coexisting turbulence structures form the streamwise velocity energy spectrum from the viscosity- to the inertia-dominated range of scales. Definite scaling-trends for streamwise spectra have…

Fluid Dynamics · Physics 2019-12-04 Woutijn J. Baars , Ivan Marusic

Direct numerical simulations (DNS) of fully-developed turbulent channel flows for very low Reynolds numbers have been performed with a larger computational box sizes than those of existing DNS. The friction Reynolds number was decreased…

Fluid Dynamics · Physics 2014-09-17 Takahiro Tsukahara , Yohji Seki , Hiroshi Kawamura , Daisuke Tochio

Two aspects of turbulent flows have been the subject of extensive, split research efforts: macroscopic properties, such as the frictional drag experienced by a flow past a wall, and the turbulent spectrum. The turbulent spectrum may be said…

Direct numerical simulations of turbulent heat transfer in fully-developed channel flows have been performed in a range of friction Reynolds number between 60 and 180, based on the friction velocity and the channel half width $\delta$, with…

Fluid Dynamics · Physics 2014-09-18 Takahiro Tsukahara , Kaoru Iwamoto , Hiroshi Kawamura , Tetsuaki Takeda

Almost 50 years ago Bob Brodkey and his student, Corino, conceived of and carried out a visualization experiment for the very near wall region of a turbulent pipe flow that, together with the turbulent boundary layer visualization of Kline…

Fluid Dynamics · Physics 2013-12-16 James M. Wallace , James H. Duncan

We report the results of three-dimensional direct numerical simulations for incompressible viscous fluid in a circular pipe flow with a sudden expansion. At the inlet, a parabolic velocity profile is applied together with a finite amplitude…

Fluid Dynamics · Physics 2019-01-08 Kamal Selvam , Jorge Peixinho , Ashley P. Willis

In this Letter we suggest a simple and physically transparent analytical model of the pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model gives accurate qualitative description of the profiles of…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

The characteristics of the wavenumber-frequency spectra of the rapid, slow and total wall pressure fluctuations are investigated using direct numerical simulation (DNS) of turbulent channel flow up to $\Rey_\tau\approx 1000$. For the…

Fluid Dynamics · Physics 2021-01-15 Bowen Yang , Guowei He , Zixuan Yang

The transitional and well-developed regimes of turbulent shear flows exhibit a variety of remarkable scaling laws that are only now beginning to be systematically studied and understood. In the first part of this article, we summarize…

Fluid Dynamics · Physics 2017-01-04 Nigel Goldenfeld , Hong-Yan Shih

Accurate prediction of the transition from laminar flow to turbulence remains an unresolved challenge despite its importance for understanding a variety of environmental, biological, and industrial phenomena. Well over a century of…

Fluid Dynamics · Physics 2023-01-10 John O. Dabiri , Nina Mohebbi , Matthew K. Fu

Following the recent observation that turbulent pipe flow can be relaminarised by a relatively simple modification of the mean velocity profile, we here carry out a quantitative experimental investigation of this phenomenon. Our study…

Fluid Dynamics · Physics 2019-05-01 Davide Scarselli , Jakob Kühnen , Björn Hof
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