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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

Direct numerical simulations are used to investigate the individual dynamics of large spherical particles suspended in a developed homogeneous turbulent flow. A definition of the direction of the particle motion relative to the surrounding…

Fluid Dynamics · Physics 2015-06-16 Mamadou Cisse , Holger Homann , Jeremie Bec

The impact of wall roughness on fully developed laminar pipe flow is investigated numerically. The roughness is comprised of square bars of varying size and pitch. Results show that the inverse relation between the friction factor and the…

Fluid Dynamics · Physics 2019-05-30 Utku Senturk , Alexander J. Smits

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…

Fluid Dynamics · Physics 2023-07-10 H. Mouri , J. Ito

This paper presents a derivation of the empirical Colburn analogy and discusses its implications. Key words: heat transfer, Colburn, j factor, turbulence, power law, log-law, wall layer

Fluid Dynamics · Physics 2010-09-23 K. T. Trinh

A popular method of forcing the fluid in Direct Numerical Simulations of turbulence is to take the body force proportional to the projection of the velocity of the fluid onto its lowest Fourier modes, while keeping the injected external…

Fluid Dynamics · Physics 2007-05-23 Charles R. Doering , Nikola P. Petrov

The QSQH theory is extended to all three velocity components taking into account the fluctuations of the direction of the large-scale component of the wall friction. This effect is found to be significant. It explains the large sensitivity…

Fluid Dynamics · Physics 2021-07-28 Sergei Chernyshenko

Wall-pressure fluctuations are a practically robust input for real-time control systems aimed at modifying wall-bounded turbulence. The scaling behaviour of the wall-pressure--velocity coupling requires investigation to properly design a…

Fluid Dynamics · Physics 2024-01-11 Woutijn J. Baars , Giulio Dacome , Myoungkyu Lee

The internal interactions of fluids occur at all scales therefore the resulting force fields have no reason to be smooth and differentiable. The release of the differentiability hypothesis has important mathematical consequences, like scale…

General Physics · Physics 2013-03-15 Louis de Montera

In Taylor's theory, the longitudinal dispersion in turbulent pipe flows approaches, on long timescales, a diffusive behavior with a constant diffusivity $K_L$, that depends \emph{empirically} on the Reynolds number $Re$. We show that the…

Fluid Dynamics · Physics 2016-04-27 Christopher Hawkins , Luiza Angheluta , Marcin Krotkiewski , Bjørn Jamtveit

We show that the main results of the analysis of the friction factor for turbulent pipe flow reported in G. Gioia and P. Chakraborty (GC), Phys. Rev. Lett. 96, 044502 (1996) can be recovered by assuming the Heisenberg closure hypothesis for…

Fluid Dynamics · Physics 2013-05-29 Esteban Calzetta

We report measurements in a 2-dimensional, gravity-driven, collisional, granular flow of the normal force delivered to the wall and of particle velocity at several points in the flow. The wall force and the flow velocity are negatively…

Soft Condensed Matter · Physics 2007-05-23 Emily Gardel , Ellen Keene , Sonia Dragulin , Nalini Easwar , Narayanan Menon

Well-resolved direct numerical simulations (DNSs) have been performed of the flow in a smooth circular pipe of radius $R$ and axial length $10\pi R$ at friction Reynolds numbers up to $Re_\tau=5200$. Various turbulence statistics are…

Fluid Dynamics · Physics 2023-02-15 Jie Yao , Saleh Rezaeiravesh , Philipp Schlatter , Fazle Hussain

In the present study, we conduct direct numerical simulations to investigate the near-wall dynamics of compressible turbulent boundary layers at the free-stream Mach number of 6 laden with heavy particles. By inspecting the instantaneous…

Fluid Dynamics · Physics 2025-05-14 Ming Yu , Lihao Zhao , Yibin Du , Xianxu Yuan , Chunxiao Xu

We examine fluctuations of vorticity excited by an external random force in two-dimensional fluid in the presence of a strong external shear flow. The problem is motivated by the analysis of big coherent vortices appearing as a consequence…

Fluid Dynamics · Physics 2024-03-07 Igor V. Kolokolov , Vladimir V. Lebedev

A flexible sheet in uniform parallel flow is studied in order to quantify its fluid dynamic drag and fluid-elastic stability characteristics. An experimental campaign is undertaken that involves a cantilevered sheet in air flow…

Fluid Dynamics · Physics 2009-08-18 Michael T. Morris-Thomas , Sverre Steen

Many microfluidics devices, coating processes or diphasic flows involve the motion of a liquid meniscus on a wet wall. This motion induces a specific viscous force, that exhibits a non-linear dependency in the meniscus velocity. We propose…

Soft Condensed Matter · Physics 2013-05-06 Isabelle Cantat

Almost all investigations of turbulent flows in academia and in the industry utilize some degree of turbulence modeling. Of the available approaches to turbulence modeling Reynolds Stress Models have the highest potential to replicate…

Fluid Dynamics · Physics 2018-03-07 J. P. Panda , H. V. Warrior

The flow of a colloidal solution between two parallel disks rotating with the same angular velocity about two non-coincident axes was studied. The problem has been approached from two perspectives, the first wherein the stress is expressed…

Soft Condensed Matter · Physics 2025-12-02 Krishna Kaushik Yanamundra , Chandler C. Benjamin , Kumbakonam Ramamani Rajagopal

A global approach to analysis of fully developed turbulent flows in pipes/channels and zero pressure gradient boundary layers is proposed. A new dynamic definition of the boundary layer thickness $\delta(x)$, where $x$ is the distance to…

Fluid Dynamics · Physics 2010-02-09 Victor Yakhot