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We argue that important elements of the dynamics of wall-bounded flows reside at the wall-normal position $y_p^+$ corresponding to the peak of the Reynolds shear stress. Specializing to pipe and channel flows, we show that the mean momentum…

流体动力学 · 物理学 2008-02-03 Katepalli R. Sreenivasan , Anupam Sahay

Despite the nonlinear nature of wall turbulence, there is evidence that the energy-injection mechanisms sustaining wall turbulence can be ascribed to linear processes. The different scenarios stem from linear stability theory and comprise…

We study the mechanism of energy injection from the mean flow to the fluctuating velocity necessary to maintain wall turbulence. This process is believed to be correctly represented by the linearized Navier--Stokes equations, and three…

流体动力学 · 物理学 2019-02-15 Adrián Lozano-Durán , Michael Karp , Navid. C. Constantinou

In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v=v_0[(1/\kappa) ln z + constant]. The distance from the wall in dimensionless units is z and v_0 is an uniquely defined velocity scale. The…

统计力学 · 物理学 2021-05-26 Amit Kr. Chattopadhyay , Jayanta K. Bhattacharjee

Turbulent flows have high requirements for very fine meshes near the boundary to ensure accuracy. In the context of topology optimization (TO), such fine meshes become unrealistic and common approaches are hampered by low accuracy and…

流体动力学 · 物理学 2026-01-06 Amirhossein Bayat , Hao Li , Joe Alexandersen

In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows and present recent achievements in the understanding of this problem. The transition is abrupt with laminar-turbulent coexistence over a finite…

流体动力学 · 物理学 2016-04-05 Paul Manneville

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 · 物理学 2009-10-31 S. Chen , C. Foias , D. D. Holm , E. Olson , E. S. Titi , S. Wynne

A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the…

流体动力学 · 物理学 2010-12-06 B. J. McKeon , A. S. Sharma

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…

流体动力学 · 物理学 2026-02-04 Pei-Yun Tsai , Marten Klein , Heiko Schmidt

We study turbulent flows in a smooth straight pipe of circular cross--section up to $Re_{\tau} \approx 6000$ using direct--numerical-simulation (DNS) of the Navier--Stokes equations. The DNS results highlight systematic deviations from…

流体动力学 · 物理学 2021-09-22 Sergio Pirozzoli , Joshua Romero , Massimiliano Fatica , Roberto Verzicco , Paolo Orlandi

A modified Reynolds equation governing the steady flow of a fluid with low Reynolds number through a curvilinear, narrow tube, with its derivation from Stokes equations through asymptotic methods is presented. The channel considered may…

数学物理 · 物理学 2019-01-08 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov

Suspensions of finite-size solid particles in a turbulent pipe flow are found in many industrial and technical flows. Due to the ample parameter space consisting of particle size, concentration, density and Reynolds number, a complete…

流体动力学 · 物理学 2024-11-18 Martin Leskovec , Sagar Zade , Mehdi Niazi , Pedro Costa , Fredrik Lundell , Luca Brandt

A fully-convolutional neural-network model is used to predict the streamwise velocity fields at several wall-normal locations by taking as input the streamwise and spanwise wall-shear-stress planes in a turbulent open channel flow. The…

流体动力学 · 物理学 2020-08-26 L. Guastoni , M. P. Encinar , P. Schlatter , H. Azizpour , R. Vinuesa

Long waves in rivers, estuaries and floods are described by the St Venant and Boussinesq equations in classical fluid dynamics. Based on the widely used $k$-$\epsilon$ model for turbulence, we use the techniques of centre manifold theory to…

chao-dyn · 物理学 2008-02-03 Z. MEI , A. J. ROBERTS

It has previously been shown that by increasing the Reynolds number across a channel by spatially varying the viscosity does not cause an immediate change in the size of turbulent structures and a delay is in fact observed in both wall…

流体动力学 · 物理学 2021-06-11 Victor Coppo Leite , Elia Merzari

The prediction of aircraft aerodynamic quantities of interest remains among the most pressing challenges for computational fluid dynamics. The aircraft aerodynamics are inherently turbulent with mean-flow three-dimensionality, often…

流体动力学 · 物理学 2021-05-25 Adrián Lozano-Durán , Hyunji Jane Bae

The influence and validity of wall boundary conditions for non-equilibrium fluid flows described by the Boltzmann equation remains an open problem. The substantial computational cost of directly solving the Boltzmann equation has limited…

流体动力学 · 物理学 2024-01-02 Tarik Dzanic , Freddie D. Witherden , Luigi Martinelli

Numerical simulations of wall-turbulence using the restricted nonlinear (RNL) model generate realistic mean velocity profiles in plane Couette and channel flow at low Reynolds numbers. The results are less accurate at higher Re, and while a…

流体动力学 · 物理学 2015-06-23 Joel. U. Bretheim , Charles Meneveau , Dennice F. Gayme

Wall turbulence has a sublayer where the mean wall-normal flux of the streamwise momentum is constant. Via the law of the wall, this mean flux is related to the wall-normal profile of the mean streamwise velocity. However, the momentum flux…

流体动力学 · 物理学 2023-07-10 H. Mouri , J. Ito

We study laminar, transitional and turbulent flow in wavy pipes using direct numerical simulations for bulk Reynolds numbers between 1-5300. Flow behaviors are analyzed in terms of the friction factor f and mean velocity statistics for…

流体动力学 · 物理学 2026-04-21 Ismail El Mellas , Juan J. Hidalgo , Marco Dentz