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Direct numerical simulations have proven of inestimable help to our understanding of the transition to turbulence in wall-bounded flows. While the dynamics of the transition from laminar flow to turbulence via localised spots can be…

Pattern Formation and Solitons · Physics 2014-12-17 Paul Manneville , Joran Rolland

Directed percolation (DP), a universality class of continuous phase transitions, has recently been established as a possible route to turbulence in subcritical wall-bounded flows. In canonical straight pipe or planar flows, the transition…

Fluid Dynamics · Physics 2024-07-03 Sébastien Gomé , Aliénor Rivière , Laurette S. Tuckerman , Dwight Barkley

Linearly stable shear flows first transition to turbulence in the form of localised patches. At low Reynolds numbers, these turbulent patches tend to suddenly decay, following a memoryless process typical of rare events. How far in advance…

Fluid Dynamics · Physics 2025-07-10 Daniel Morón , Alberto Vela-Martín , Marc Avila

The linear stability of pipe flow implies that only perturbations of sufficient strength will trigger the transition to turbulence. In order to determine this threshold in perturbation amplitude we study the \emph{edge of chaos} which…

Chaotic Dynamics · Physics 2009-11-13 Tobias M Schneider , Bruno Eckhardt , James A Yorke

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

This study experimentally investigates bubble size evolution and void fraction redistribution in an unexplored, coalescence-dominated regime of decaying turbulent bubbly flow. The flow is generated downstream of a regenerative pump in a…

Fluid Dynamics · Physics 2025-09-09 Vivek Kumar , Prasoon Suchandra , Ardalan Javadi , Suhas S. Jain , Cyrus Aidun

High-speed stereo PIV-measurements have been performed in a turbulent boundary layer at Re$_{\theta}$ of 9800 in order to elucidate the coherent structures. Snapshot proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD)…

Fluid Dynamics · Physics 2017-04-14 Naseem Ali , Murat Tutkun , Raúl Bayoán Cal

The growth of laminar-turbulent band patterns in plane Couette flow is studied in the vicinity of the global stability threshold R_g below which laminar flow ultimately prevails. Appropriately tailored direct numerical simulations are…

Fluid Dynamics · Physics 2015-06-04 Paul Manneville

In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious. In line with Barkley's recent work about the…

Fluid Dynamics · Physics 2015-06-05 Paul Manneville

Turbulent-laminar patterns are ubiquitous near transition in wall-bounded shear flows. Despite recent progress in describing their dynamics in analogy to non-equilibrium phase transitions, there is no theory explaining their emergence.…

Fluid Dynamics · Physics 2016-08-16 Paul Ritter , Fernando Mellibovsky , Marc Avila

Transition to turbulence dramatically alters the properties of fluid flows. In most canonical shear flows, the laminar flow is linearly stable and a finite-amplitude perturbation is necessary to trigger transition. Controlling transition to…

Fluid Dynamics · Physics 2020-05-20 Anton Pershin , Cedric Beaume , Steven M. Tobias

Quench experiments where the flow passes from a fully turbulent state to a laminar state by an abrupt decrease in the flow Reynolds number ($Re$) have been extensively studied in the literature to quantify the turbulent-laminar transition…

Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A…

Fluid Dynamics · Physics 2015-03-17 Dwight Barkley

Turbulent pipe flow is still an essentially open area of research, boosted in the last two decades by considerable progress achieved both on the experimental and numerical frontiers, mainly related to the identification and characterization…

Fluid Dynamics · Physics 2023-04-26 R. Jäckel , B. Magacho , B. E. Owolabi , L. Moriconi , D. J. C. Dennis , J. B. R. Loureiro

In this work, we simulate the transition to turbulence in the pipe flow based on the modified NS theory incorporating the viscous fluid strength in the constitutive equations. The latter concept enriches theory by allowing for material…

Fluid Dynamics · Physics 2024-05-13 Saptarshi Kumar Lahiri , Konstantin Volokh

Isolated patches of turbulence in transitional straight pipes are sustained by a strong instability at their upstream front, where the production of turbulent kinetic energy (TKE) is up to five times higher than in the core. Direct…

Fluid Dynamics · Physics 2019-03-14 Enrico Rinaldi , Jacopo Canton , Philipp Schlatter

Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the…

Fluid Dynamics · Physics 2013-06-11 Liang Shi , Marc Avila , Bjoern Hof

The effects of global flow rotation and curvature on the subcritical transition to turbulence in shear flows are examined. The relevant time-scales of the problem are identified by a decomposition of the flow into a laminar and a deviation…

Fluid Dynamics · Physics 2007-05-23 P-Y. Longaretti , O. Dauchot

Large-scale coherent structures are identified in turbulent pipe flow at $Re_\tau=181$ by having long lifetimes, living on large scales and travelling with a certain group velocity. A Characteristic Dynamic Mode Decomposition (CDMD) is used…

Fluid Dynamics · Physics 2023-09-28 Amir Shahirpour , Christoph Egbers , Jörn Sesterhenn

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
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