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Transition from laminar to turbulent flow drastically changes the mixing, transport, and drag properties of fluids, yet when and how turbulence emerges is elusive even for simple flow within pipes and rectangular channels. Unlike the onset…

Statistical Mechanics · Physics 2025-07-22 Masaki Sano , Keiichi Tamai

The transition mechanism from laminar flow to turbulent flow is a central problem in hydrodynamic stability theory. To shed light on this transition mechanism, Trefethen et al.({\it \small Science 1993}) proposed the transition threshold…

Analysis of PDEs · Mathematics 2025-12-29 Minling Li , Changzhen Sun , Chao Wang , Dongyi Wei , Zhifei Zhang

The transition of the flow in a duct of square cross-section is studied. Like in the similar case of the pipe flow, the motion is linearly stable for all Reynolds numbers; this flow is thus a good candidate to investigate the 'bypass' path…

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

Turbulence is an out-of-equilibrium flow state that is characterised by nonzero net fluxes of kinetic energy between different scales of the flow. These fluxes play a crucial role in the formation of characteristic flow structures in many…

Fluid Dynamics · Physics 2026-02-04 Youri H. Lemm , Xander M. de Wit , Rudie P. J. Kunnen

The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear flows. The absence of a clear cut instability mechanism, the spatio-temporal intermittent character and extremely long…

Fluid Dynamics · Physics 2014-03-19 Baofang Song , Björn Hof

The transition from laminar to turbulent fluid motion occurring at large Reynolds numbers is generally associated with the instability of the laminar flow. On the other hand, since the turbulent flow characteristically appears in the form…

Fluid Dynamics · Physics 2013-09-27 Sergei F. Chekmarev

Turbulent flows driven by a vertically invariant body force were proven to become exactly two-dimensional above a critical rotation rate, using upper bound theory. This transition in dimensionality of a turbulent flow has key consequences…

Fluid Dynamics · Physics 2023-07-19 Kannabiran Seshasayanan , Basile Gallet

Reynolds proposed that after sufficiently long times, the flow in a pipe should settle to a steady condition: below a critical Reynolds number, flows should (regardless of initial conditions) always return to laminar, while above, eddying…

Fluid Dynamics · Physics 2018-02-14 Vasudevan Mukund , Björn Hof

A theoretical mechanism of laminar-turbulent transition originated from the deceleration of fluid streams on the walls of the channel or pipe is proposed. For Poiseuille flow an analytical expression relating the critical Reynolds number…

Fluid Dynamics · Physics 2013-11-27 Andrei Nechayev

The complex flow features resulting from the laminar-turbulent transition (LTT) in a sudden expansion pipe flow, with expansion ratio of 1:2 subjected to an inlet vortex perturbation is investigated by means of direct numerical simulations…

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

This paper presents an experimental study on the transition from smooth to rough walls, and back to the smooth one, in turbulent closed-conduit flows. These transitions cause a shift on flow velocity profiles that changes their parameters…

Fluid Dynamics · Physics 2018-04-10 Gabriel Maltese Meletti de Oliveira , Erick de Moraes Franklin

Turbulence is a widely observed state of fluid flows, characterized by complex, nonlinear interactions between motions across a broad spectrum of length and time scales. While turbulence is ubiquitous, from teacups to planetary atmospheres,…

Fluid Dynamics · Physics 2025-01-28 Adrian van Kan

The study of coolant flow behavior in rod bundles is of relevance to the design of nuclear reactors. Although laminar and turbulent flows have been researched extensively, there are still gaps in understanding the process of…

Fluid Dynamics · Physics 2023-08-31 Carolina Bourdot Dutra , Elia Merzari

The stability of plane Poiseuille flow of a viscous Newtonian fluid in a multilayer channel with anisotropic porous walls is analyzed using the classical modal analysis, the energy method, and the non-modal analysis. The influence of porous…

Fluid Dynamics · Physics 2024-09-24 Supriya Karmakar , Priyanka Shukla

The flow of fluid confined between a heated rotating cylinder and a cooled stationary cylinder is a canonical experiment for the study of heat transfer in engineering. The theoretical treatment of this system is greatly simplified if the…

Fluid Dynamics · Physics 2015-09-15 Jose M. Lopez , Francisco Marques , Marc Avila

Low Reynolds number turbulence in wall-bounded shear flows en route to laminar flow takes the form of spatially intermittent turbulent structures. In plane shear flows, these appear as a regular pattern of alternating turbulent and…

Fluid Dynamics · Physics 2023-06-05 S. Gomé , L. S. Tuckerman , D. Barkley

Suspended particles can alter the properties of fluids and in particular also affect the transition from laminar to turbulent flow. In the present experimental study, we investigate the impact of neutrally buoyant, spherical inertial…

Fluid Dynamics · Physics 2019-03-27 Nishchal Agrawal , George H. Choueiri , Björn Hof

A simple analytical model for a turbulent flow is proposed, which considers the flow as a collection of localized spatial structures that are composed of elementary "cells" in which the state of the particles (atoms or molecules) is…

Fluid Dynamics · Physics 2013-04-09 Sergei F. Chekmarev

Granular flows due to simultaneous vertical and horizontal excitations of a flat-bottomed cylindrical pan are investigated using event-driven molecular dynamics simulations. In agreement with recent experimental results, we observe a…

Materials Science · Physics 2009-11-11 Oleh Baran , John J. Drozd , Robert J. Martinuzzi , Peter H. Poole