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The spatio-temporal dynamics of localized turbulent puffs $-$ the characteristic transitional structures in square duct flows $-$ are investigated through direct numerical simulations and theoretical analyses. It is revealed that the…

Fluid Dynamics · Physics 2025-07-03 Jiashun Guan , Jianjun Tao

Following the recent observation that turbulent pipe flow can be relaminarised by a relatively simple modification of the mean velocity profile, we here carry out a quantitative experimental investigation of this phenomenon. Our study…

Fluid Dynamics · Physics 2019-05-01 Davide Scarselli , Jakob Kühnen , Björn Hof

Although the critical Reynolds number for linear instability of the laminar flow in a straight pipe is infinite, we show that it is finite for a divergent pipe, and approaches infinity as the inverse of the divergence angle. The velocity…

Fluid Dynamics · Physics 2021-01-29 Kirti Chandra Sahu , Rama Govindarajan

Turbulent stripe, which would occur in turbulent channel flows at transitional Reynolds numbers, was studied experimentally by flow visualization using reflective flake particles. In a range of bulk mean Reynolds number Re = 1700-2000, the…

Fluid Dynamics · Physics 2014-09-18 Takahiro Tsukahara , Yasuo Kawaguchi , Hiroshi Kawamura

The onset of shear flow turbulence is characterized by turbulent patches bounded by regions of laminar flow. At low Reynolds numbers localized turbulence relaminarises, raising the question of whether it is transient in nature or it becomes…

Fluid Dynamics · Physics 2014-03-31 M. Avila , A. P. Willis , B. Hof

The identification of stream in the straight pipe as a flexible rod has allowed to present the criterion expression for determination of transition of the laminar flow regime to the turbulent as a loss of stability of the rectilinear static…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

In pipe, channel and boundary layer flows turbulence first occurs intermittently in space and time: at moderate Reynolds numbers domains of disordered turbulent motion are separated by quiescent laminar regions. Based on direct numerical…

Fluid Dynamics · Physics 2014-10-21 Marc Avila , Björn Hof

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

The fluctuations of turbulence intensity in a pipe flow around the critical Reynolds number is difficult to study but important because they are related to turbulent-laminar transitions. We here propose a rare-event sampling method to study…

Fluid Dynamics · Physics 2018-02-08 Takahiro Nemoto , Alexandros Alexakis

Intermittent turbulent-laminar patterns characterize the transition to turbulence in pipe, plane Couette and plane channel flows. The time evolution of turbulent-laminar bands in plane channel flow is studied via direct numerical…

Fluid Dynamics · Physics 2020-09-02 Sébastien Gomé , Laurette S. Tuckerman , Dwight Barkley

The instability of pipe flow has been a subject of extensive research, yet a significant gap remains between experimental observations and theoretical predictions. This study revisits the classical problem of kinetic energy instability of…

Fluid Dynamics · Physics 2025-09-30 Chiara Giraudo , Ingeborg G. Gjerde , Miroslav Kuchta , L. Ridgway Scott

The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a phase transition in the directed percolation universality class. At its heart is a balance between the decay rate and proliferation rate of…

Fluid Dynamics · Physics 2022-09-16 Anna Frishman , Tobias Grafke

The results of a combined experimental and numerical study of the flow in slowly diverging pipes are presented. Interestingly, an axisymmetric conical recirculation cell has been observed. The conditions for its existence and the length of…

Fluid Dynamics · Physics 2025-05-13 Jorge Peixinho , Hugues Besnard

Turbulent spots surrounded by laminar flow are a landmark of transitional shear flows, but the dependence of their kinematic properties on spatial structure is poorly understood. We here investigate this dependence in pipe flow for Reynolds…

Fluid Dynamics · Physics 2018-01-10 Paul Ritter , Stefan Zammert , Bruno Eckhardt , Marc Avila

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

Using various techniques from dynamical systems theory, we rigorously study an experimentally validated model by [Barkley et al., Nature, 526:550-553, 2015], which describes the rise of turbulent pipe flow via a PDE system of reduced…

Fluid Dynamics · Physics 2022-10-19 Maximilian Engel , Christian Kuehn , Björn de Rijk

We show that a rather simple, steady modification of the streamwise velocity profile in a pipe can lead to a complete collapse of turbulence and the flow fully relaminarizes. Two different devices, a stationary obstacle (inset) and a device…

Fluid Dynamics · Physics 2018-02-06 J. Kühnen , D. Scarselli , M. Schaner , B. Hof

In wall-bounded flows, the laminar regime remain linearly stable up to large values of the Reynolds number while competing with nonlinear turbulent solutions issued from finite amplitude perturbations. The transition to turbulence of plane…

Fluid Dynamics · Physics 2019-04-09 Paul Manneville , Masaki Shimizu

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

In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows and present recent achievements in the understanding of this problem. The transition is abrupt with laminar-turbulent coexistence over a finite…

Fluid Dynamics · Physics 2016-04-05 Paul Manneville