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A streamwise-constant model is presented to investigate the basic mechanisms responsible for the change in mean flow occuring during pipe flow transition. Using a single forced momentum balance equation, we show that the shape of the…

Fluid Dynamics · Physics 2015-05-27 Jean-Loup Bourguignon , Beverley J. McKeon

We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of $\mathrm{Ta}=10^{11}$ to $9\cdot10^{12}$, by measuring the global torques and the local velocities while probing the phase…

We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends to zero and blows up as it approaches its maximum value.…

Analysis of PDEs · Mathematics 2022-02-17 Koondanibha Mitra , Jack M. Hughes , Stefanie Sonner , Hermann J. Eberl , Jack D. Dockery

A study of the the main features of low- and high amplitude steady streamwise wall transpiration applied to pipe flow is presented. The effect of the two transpiration parameters, amplitude and wavenumber, on the flow have been investigated…

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

This paper is concerned with the transition of the laminar flow in a duct of square cross-section. Like in the similar case of the pipe flow, the motion is linearly stable for all Reynolds numbers, rendering this flow a suitable candidate…

Fluid Dynamics · Physics 2010-07-02 Damien Biau , Alessandro Bottaro

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Laminar as well as turbulent oscillatory pipe flows occur in many fields of biomedical science and engineering. Pulmonary air flow and vascular blood flow are usually laminar, because shear forces acting on the physiological system ought to…

Fluid Dynamics · Physics 2020-01-31 Claus Wagner , Daniel Feldmann

We present experimental evidence that the superstructures in turbulent boundary layers comprise of smaller, geometrically self-similar coherent motions. The evidence comes from identifying and analyzing instantaneous superstructures from…

Fluid Dynamics · Physics 2023-08-29 Rahul Deshpande , Charitha M. de Silva , Ivan Marusic

We study an effect of large-scale coherent structures on global properties of turbulent convection in laboratory experiments in air flow in a rectangular chamber with aspect ratios $A \approx 2$ and $A\approx 4$ (with the Rayleigh numbers…

Fluid Dynamics · Physics 2015-05-13 M. Bukai , A. Eidelman , T. Elperin , N. Kleeorin , I. Rogachevskii , I. Sapir-Katiraie

Laminar flows through pipes driven at steady, pulsatile or oscillatory rates undergo a sub-critical transition to turbulence. We carry out an extensive linear non-modal stability analysis of these flows and show that for sufficiently high…

Fluid Dynamics · Physics 2021-11-11 Duo Xu , Baofang Song , Marc Avila

We show that Directed Percolation (DP) simulations in a pipe geometry in 3+1 dimensions fully capture the observed complex phenomenology of the transition to turbulence. At low Reynolds numbers (Re), turbulent puffs form and spontaneously…

Fluid Dynamics · Physics 2013-01-07 Maksim Sipos , Nigel Goldenfeld

Active fluids exhibit spontaneous flows with complex spatiotemporal structure, which have been observed in bacterial suspensions, sperm cells, cytoskeletal suspensions, self-propelled colloids, and cell tissues. Despite occurring in the…

Soft Condensed Matter · Physics 2022-10-05 Ricard Alert , Jaume Casademunt , Jean-François Joanny

Experiments have been conducted to assess the sizes and energy fractions of structure in fully developed turbulent pipe flow regime in two pipe facilities, ColaPipe at BTU Cottbus-Senftenberg, and CICLoPE at University of Bologna, for shear…

Fluid Dynamics · Physics 2019-03-04 E. -S. Zanoun , Emir Öngüner , C. Egbers , G. Bellani , A. Talamelli

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · Physics 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

The transition to turbulence in plane Poiseuille flow (PPF) is connected with the presence of exact coherent structures. In contrast to other shear flows, PPF has a number of different coherent states that are relevant for the transition.…

Fluid Dynamics · Physics 2017-01-17 Stefan Zammert , Bruno Eckhardt

The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity…

Analysis of PDEs · Mathematics 2026-04-07 R. Folino , C. Lattanzio , R. G. Plaza

A specific, genuinely three-dimensional mechanism of rogue wave formation, in a late stage of the modulational instability of a perturbed Stokes deep-water wave, is recognized through numerical experiments. The simulations are based on…

Fluid Dynamics · Physics 2007-08-01 V. P. Ruban

Elastic turbulence is a spatially and temporally disordered flow state appearing in viscoelastic fluids at vanishing fluid inertia and large elasticity. The resulting flows have broad technological interest, particularly to enhance mixing…

Fluid Dynamics · Physics 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

Transition to turbulence in straight pipes occurs in spite of the linear stability of the laminar Hagen--Poiseuille flow if the amplitude of flow perturbations as well as the Reynolds number exceed a minimum threshold (subcritical…

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

Over a century of research into the origin of turbulence in wallbounded shear flows has resulted in a puzzling picture in which turbulence appears in a variety of different states competing with laminar background flow. At slightly higher…

Fluid Dynamics · Physics 2015-11-02 Dwight Barkley , Baofang Song , Vasudevan Mukund , Grégoire Lemoult , Marc Avila , Björn Hof