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A novel reduced-order model for nonlinear flows is presented. The model arises from a resolvent decomposition in which the nonlinear advection terms of the Navier-Stokes equation are considered as the input to a linear system in Fourier…

Fluid Dynamics · Physics 2016-06-16 F Gómez , HM Blackburn , M Rudman , AS Sharma , BJ McKeon

We compute the solutions of Prandtl's and Navier-Stokes equations for the two dimensional flow induced by a rectilinear vortex interacting with a boundary in the half plane. For this initial datum Prandtl's equation develops, in a finite…

Mathematical Physics · Physics 2013-10-25 Francesco Gargano , Marco Sammartino , Vincenzo Sciacca

The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical methods and techniques. In experimental and numerical studies with viscoelastic fluids in such lid-driven flows, purely-elastic instabilities…

Fluid Dynamics · Physics 2016-03-08 R. G. Sousa , R. J. Poole , A. M. Afonso , F. T. Pinho , P. J. Oliveira , A. Morozov , M. A. Alves

The separating and reattaching turbulent flow past a rectangular cylinder is studied to describe how small and large scales contribute to the sustaining mechanism of the velocity fluctuations. The work is based on the Anisotropic…

Fluid Dynamics · Physics 2022-08-24 Alessandro Chiarini , Davide Gatti , Andrea Cimarelli , Maurizio Quadrio

We study Kolmogorov flow on a three dimensional, periodic domain with aspect ratios fixed to unity. Using an energy method, we give a concise proof of the linear stability of the laminar flow profile. Since turbulent motion is observed for…

Fluid Dynamics · Physics 2016-11-23 Lennaert van Veen , Susumu Goto

We study periodically driven Taylor-Couette turbulence, i.e. the flow confined between two concentric, independently rotating cylinders. Here, the inner cylinder is driven sinusoidally while the outer cylinder is kept at rest (time-averaged…

Fluid Dynamics · Physics 2018-05-15 Ruben A. Verschoof , Arne K. te Nijenhuis , Sander G. Huisman , Chao Sun , Detlef Lohse

Since Taylor's seminal paper, the existence of large-scale quasi-axisymmetric structures has been a matter of interest when studying Taylor-Couette flow. In this manuscript, we probe their formation in the highly turbulent regime by…

Fluid Dynamics · Physics 2023-02-15 V. Jeganathan , K. Alba , R. Ostilla-Monico

The study is devoted to the development of new effective tools and methods of ana-lytical hydrodynamics, including problems of existence, smoothness and structure of laminar and turbulent flows. The main problem is complex Navier-Stokes…

Fluid Dynamics · Physics 2007-05-23 Anatoly N. Panchenkov

This article is concerned with the numerical study and modelling of two aspects the formation of laminar holes in transitional turbulence of plane Couette flow (PCF). On the one hand, we consider quenches: sudden decreases of the Reynolds…

Fluid Dynamics · Physics 2015-03-23 Joran Rolland

We study the generation of 2D turbulence in Faraday waves by investigating the creation of spatially periodic vortices in this system. Measurements which couple a diffusing light imaging technique and particle tracking algorithms allow the…

Fluid Dynamics · Physics 2014-05-09 N. Francois , H. Xia , H. Punzmann , S. Ramsden , M. Shats

Turbulent flow over a rounded broad-crested weir is investigated by means of detached eddy simulation (DES) and large eddy simulation (LES) with special emphasis on the interaction of coherent vortex structures with free-surface. In order…

Fluid Dynamics · Physics 2023-05-03 M. Anil Kizilaslan , Elif Deniz Atlas , Huseyin Yaban , Ender Demirel

We study the stability of two-fluid flow through a plane channel at Reynolds numbers of a hundred to a thousand in the linear and nonlinear regimes. The two fluids have the same density but different viscosities. The fluids, when miscible,…

Fluid Dynamics · Physics 2021-01-27 Kirti Chandra Sahu , Rama Govindarajan

A new turbulent Taylor-Couette system consisting of two independently rotating cylinders has been constructed. The gap between the cylinders has a height of 0.927 m, an inner radius of 0.200 m, and a variable outer radius (from 0.279 to…

Fluid Dynamics · Physics 2012-11-12 Dennis P. M. van Gils , Gert-Wim Bruggert , Daniel P. Lathrop , Chao Sun , Detlef Lohse

We study the transition to turbulence in a flat plate boundary layer by means of visibility analysis of velocity time-series extracted across the flow domain. By taking into account the mutual visibility of sampled values, visibility graphs…

Fluid Dynamics · Physics 2022-10-13 Davide Perrone , Luca Ridolfi , Stefania Scarsoglio

We present a numerical study to investigate the fluid-structure interaction of a flexible circular cantilever cylinder in a uniform cross-flow. We employ a fully-coupled fluid-structure solver based on the three-dimensional Navier-Stokes…

Fluid Dynamics · Physics 2021-05-26 S. Heydari , N. A. Patankar , M. J. Z. Hartmann , R. K. Jaiman

We consider the flow of a Newtonian fluid in a three-dimensional domain, rotating about a vertical axis and driven by a vertically invariant horizontal body-force. This system admits vertically invariant solutions that satisfy the 2D…

Fluid Dynamics · Physics 2023-07-19 Basile Gallet

We investigate the laminar shedding of hairpin vortices in the wake of a truncated square cylinder placed in a duct, for Reynolds numbers around the critical threshold of the onset of vortex shedding. We single out the formation mechanism…

Fluid Dynamics · Physics 2011-11-15 Vincent Dousset , Alban Pothérat

The dynamical behavior of propagating structures, determined from a Karhunen-Lo`eve decomposition, in turbulent pipe flow undergoing reverse transition to laminar flow is investigated. The turbulent flow data is generated by a direct…

Fluid Dynamics · Physics 2009-09-29 A. Duggleby , K. S. Ball , M. R. Paul

Transition from steady state to intermittent chaos in the cubical lid-driven flow is investigated numerically. Fully three-dimensional stability analyses have revealed that the flow experiences an Andronov-Poincar\'e-Hopf bifurcation at a…

Fluid Dynamics · Physics 2016-11-23 Jean-Christophe Loiseau , Jean-Christophe Robinet , Emmanuel Leriche

A central obstacle to understanding the route to turbulence in wall-bounded flows is that the flows are composed of complex, highly fluctuating, and strongly nonlinear states. In the case of pipe flow, models have deepened our understanding…

Fluid Dynamics · Physics 2026-02-24 Santiago J. Benavides , Dwight Barkley