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Using 3D direct numerical simulations of the Navier--Stokes equations, we study the effect of wall roughness on the onset of turbulence in channel flow. The dependence of the friction factor on the Reynolds number, $\mathrm{Re}$, is found…

流体动力学 · 物理学 2020-06-30 Gaute Linga , Luiza Angheluta , Joachim Mathiesen

We study a mathematical model of a compressible viscous fluid driven by stochastic forces under slip boundary conditions of friction type. We introduce a notion of a weak solution that is analytically and probabilistically consistent with…

概率论 · 数学 2026-01-23 Reo Tsuboya

An analytical framework for studying the logarithmic region of turbulent channels is formulated. We build on recent findings (Moarref et al., J. Fluid Mech., 734, 2013) that the velocity fluctuations in the logarithmic region can be…

流体动力学 · 物理学 2014-09-23 Rashad Moarref , Ati S. Sharma , Joel A. Tropp , Beverley J. McKeon

In this study, we focus on the modelling of coupled systems of shallow water flows and solute transport with source terms due to variable topography and friction effect. Our aim is to propose efficient and accurate numerical techniques for…

数值分析 · 数学 2021-10-12 Amine Hanini , Abdelaziz Beljadid , Driss Ouazar

Complex materials with internal microstructure such as suspensions and emulsions exhibit time-dependent rheology characterized by viscoelasticity and thixotropy. In many large-scale applications such as turbulent pipe flow, the elastic…

流体动力学 · 物理学 2026-05-05 Noman Yousuf , Daniel Lester , Murray Rudman , Marco Dentz , Nicky Eshtiaghi

We study how the complex interplay between roughness, inertia, and diffusion controls the tracer transport in rough channels. We first simulate the flow and tracer transport over wide ranges of channel roughness, Reynolds number ($Re$), and…

流体动力学 · 物理学 2021-02-03 Seonkyoo Yoon , Peter K. Kang

Reservoir computing is applied to model the large-scale evolution and the resulting low-order turbulence statistics of a two-dimensional turbulent Rayleigh-B\'{e}nard convection flow at a Rayleigh number ${\rm Ra}=10^7$ and a Prandtl number…

流体动力学 · 物理学 2020-11-25 Sandeep Pandey , Jörg Schumacher

Analytical expressions for the velocity field and the effective slip length of pressure-driven Stokes flow through slippery pipes and annuli with rotationally symmetrical longitudinal slits are derived. Specifically, the developed models…

流体动力学 · 物理学 2023-05-19 Sebastian Zimmermann , Clarissa Schönecker

A wide and critical comparison of the capability of Method of Characteristics, Explicit Path-Conservative Finite Volume Method and Semi-Implicit Staggered Finite Volume Method is presented and discussed, in terms of accuracy and efficiency.…

流体动力学 · 物理学 2021-06-15 Giulia Bertaglia , Matteo Ioriatti , Alessandro Valiani , Michael Dumbser , Valerio Caleffi

In particle-laden turbulent flows the turbulence in carrier fluid phase gets affected by the dispersed particle phase for volume fraction above $10^{-4}$ and hence reverse coupling or two-way coupling becomes relevant in that volume…

流体动力学 · 物理学 2022-09-14 Swagnik Ghosh , Partha Sarathi Goswami

A fully discrete formalism is introduced to perform stability analysis of a turbulent compressible flow whom dynamics is modeled with the Reynolds-Averaged Navier-Stokes (RANS) equations. The discrete equations are linearized using finite…

流体动力学 · 物理学 2015-06-18 Clément Mettot , Florent Renac , Denis Sipp

Prior to any statistical averaging we derive a rotational form of the Reynolds-Averaged Navier-Stokes (RANS) equations, eliminating the pressure and exposing a velocity--vorticity interplay governed by \[…

偏微分方程分析 · 数学 2025-07-22 Carla Valencia , Sebastián Velasco , Manuel Romero de Terreros

Turbulence -- ubiquitous in nature and engineering alike [1-5] -- is traditionally viewed as an intrinsically inertial phenomenon, emerging only when the Reynolds number (Re), which quantifies the ratio of inertial to dissipative forces…

流体动力学 · 物理学 2025-11-11 Ziyue Yu , Xinyu Si , Lei Fang

Results from Direct Numerical Simulations of particle relative dispersion in three dimensional homogeneous and isotropic turbulence at Reynolds number $Re_\lambda \sim 300$ are presented. We study point-like passive tracers and heavy…

流体动力学 · 物理学 2015-02-19 L. Biferale , A. S. Lanotte , R. Scatamacchia , F. Toschi

In the laminar mode interactions among molecules generate friction between layers of water that slide with respect to each other. This friction triggers the shear stress, which is traditionally presumed to be linearly proportional to the…

流体动力学 · 物理学 2012-06-21 K. Y. Volokh

Viscous flows through configurations manufactured from soft materials apply both pressure and shear stress at the solid-liquid interface, leading to deformation of the cross-section, which affects the flow rate-pressure drop relation.…

流体动力学 · 物理学 2022-09-29 Evgeniy Boyko , Howard A. Stone , Ivan C. Christov

The present works is focused on studying bifurcating solutions in compressible fluid dynamics. On one side, the physics of the problem is thoroughly investigated using high-fidelity simulations of the compressible Navier-Stokes equations…

数值分析 · 数学 2022-12-21 Niccolò Tonicello , Andrea Lario , Gianluigi Rozza , Gianmarco Mengaldo

The friction f is the property of wall-bounded flows that sets the pumping cost of a pipeline, the draining capacity of a river, and other variables of practical relevance. For highly turbulent rough-walled pipe flows, f depends solely on…

A variational technique is used to derive analytical expressions for the sensitivity of recirculation length to steady forcing in separated flows. Linear sensitivity analysis is applied to the two-dimensional steady flow past a circular…

流体动力学 · 物理学 2014-10-03 E. Boujo , F. Gallaire

We consider linear feedback flow control of the largest scales in an incompressible turbulent channel flow at a friction Reynolds number of Re$_{\tau}$ = 2000. A linear model is formed by linearizing the Navier-Stokes equations about the…

流体动力学 · 物理学 2020-10-20 Stephan F. Oehler , Simon J. Illingworth
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