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In this paper, we show that the spatio-temporal evolution of incompressible flows in a long circular pipe can be described by vorticity dynamics. The principal techniques to obtain solutions are similar to those used for flows in the whole…

Fluid Dynamics · Physics 2019-01-10 F. Lam

In this work, we study the flow in curved channels, an archetypal configuration that allows insights into problems featuring turbulence bounded by curved walls. Besides its relevance to many engineering applications, it exhibits a rich…

Fluid Dynamics · Physics 2025-03-19 Giulio Soldati , Paolo Orlandi , Sergio Pirozzoli

Local bifurcations of stationary points and limit cycles have successfully been characterized in terms of the critical exponents of these solutions. Lyapunov exponents and their associated covariant Lyapunov vectors have been proposed as…

Chaotic Dynamics · Physics 2018-03-14 Alexis Tantet , Valerio Lucarini , Henk A. Dijkstra

Fluid flows in nature and applications are frequently subject to periodic velocity modulations. Surprisingly, even for the generic case of flow through a straight pipe, there is little consensus regarding the influence of pulsation on the…

Fluid Dynamics · Physics 2017-11-22 Duo Xu , Sascha Warnecke , Baofang Song , Xingyu Ma , Björn Hof

The effect of streamwise-traveling waves of spanwise wall velocity (StTW) on the quasi-streamwise vortices (QSV) populating the near-wall region of turbulent channels is studied via a conditional averaging technique applied to flow…

Fluid Dynamics · Physics 2022-08-23 Emanuele Gallorini , Maurizio Quadrio , Davide Gatti

This work presents an analytical investigation of the hydrodynamic entrance region in laminar flows through slender converging pipes. Extending previous analyses for straight pipes, the model radially divides the flow into a viscous wall…

Fluid Dynamics · Physics 2026-01-08 Vinicius Maron Sauer

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…

Fluid Dynamics · Physics 2008-02-03 Katepalli R. Sreenivasan , Anupam Sahay

The Moody diagram, a plot of friction factor versus flow rate, is a well-known engineering tool for estimating head loss in pipe flows. It comprises well-defined relationships between friction factor and flow rate over the majority of…

Fluid Dynamics · Physics 2024-10-21 Rory T. Cerbus , Tom Mullin

We propose a validated fluid-structure interaction simulation framework based on strip methods for the vortex-induced vibration of a flexible pipe. The numerical results are compared with the experimental data from three previous steady…

Fluid Dynamics · Physics 2025-10-22 Xuepeng Fu , Shixiao Fu , Zhibo Niu , Bing Zhao , Jiawei Shen , Pengqian Deng

We study turbulent flows in pressure-driven ducts with square cross-section through direct numerical simulation in a wide enough range of Reynolds number to reach flow conditions which are representative of fully developed turbulence.…

Fluid Dynamics · Physics 2018-03-14 S. Pirozzoli , D. Modesti , P. Orlandi , F. Grasso

We examine the fluid flow forced by precession of a rotating cylindrical container using numerical simulations and experimental flow measurements with ultrasonic Doppler velocimetry (UDV). The analysis is based on the decomposition of the…

The flow instability and further transition to turbulence in a toroidal pipe (torus) with curvature (tube-to-coiling diameter) 0.049 is investigated experimentally. The flow inside the toroidal pipe is driven by a steel sphere fitted to the…

Fluid Dynamics · Physics 2015-08-27 J. Kühnen , M. Holzner , B. Hof , H. Kuhlmann

The laminar-turbulent boundary S is the set separating initial conditions which relaminarise uneventfully from those which become turbulent. Phase space trajectories on this hypersurface in cylindrical pipe flow look to be chaotic and show…

Fluid Dynamics · Physics 2015-05-13 Yohann Duguet , Ashley P. Willis , Rich R. Kerswell

One of the characteristic features of turbulent flows is the emergence of many vortices which interact, deform, and intersect, generating a chaotic movement. The evolution of a pair of vortices, e.g. condensation trails of a plane, can be…

Analysis of PDEs · Mathematics 2023-07-19 Sergei Iakunin , Luis Vega

Modelling fluid turbulence using a `skeleton' of coherent structures has traditionally progressed by focusing on a few canonical laboratory experiments such as pipe flow and Taylor-Couette flow. We here consider the stratified inclined…

Fluid Dynamics · Physics 2024-11-14 Adrien Lefauve , Yui Hin Marvil Cheung , Xianyang Jiang , Miles M. P. Couchman

Modal stability analysis provides information about the long-time growth or decay of small-amplitude perturbations around a steady-state solution of a dynamical system. In fluid flows, exponentially growing perturbations can initiate…

Fluid Dynamics · Physics 2019-11-21 Gokul Hariharan , Mihailo R. Jovanović , Satish Kumar

We study the evolution of velocity fluctuations due to an isolated spatio-temporal impulse using the linearized Navier-Stokes equations. The impulse is introduced as an external body force in incompressible channel flow at $Re_\tau=10000$.…

Fluid Dynamics · Physics 2019-02-20 Sabarish B. Vadarevu , Simon J. Illingworth , Ivan Marusic

Exact coherent states of a linearly stable, plane parallel shear flow confined between stationary stress-free walls and driven by a sinusoidal body force (a flow first introduced by F. Waleffe, Phys. Fluids 9, 883 (1997)) are computed using…

Fluid Dynamics · Physics 2015-06-22 Cedric Beaume , Gregory P. Chini , Keith Julien , Edgar Knobloch

Relaminarization of wall-bounded turbulent flows by means of external static magnetic fields is a long-known phenomenon in the physics of electrically conducting fluids at low magnetic Reynolds numbers. Despite the large literature on the…

Fluid Dynamics · Physics 2020-05-06 L. Moriconi

This work is concerned with the numerical investigation of the dynamics of stopping vortex formation in the uniform flow past a wedge mounted on a wall for channel Reynolds number $Re_c=1560$. The streamfunction-vorticity ($\psi$-$\omega$)…

Fluid Dynamics · Physics 2024-05-06 Jiten C Kalita