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We study the transition to turbulence of channel flow of finite-size particle suspensions at low volume fraction, i.e. $\Phi \approx 0.001$. The critical Reynolds number above which turbulence is sustained reduces to $Re \approx 1675$, in…

Fluid Dynamics · Physics 2015-01-27 Iman Lashgari , Francesco Picano , Luca Brandt

Recent experimental and computational studies indicate that near wall turbulent flows can be characterized by universal small scale autonomous dynamics that are modulated by large scale structures. We formulate numerical simulations of near…

Fluid Dynamics · Physics 2021-01-21 Sean P. Carney , Björn Engquist , Robert D. Moser

We investigate experimentally the influence of suspended particles on the transition to turbulence. The particles are monodisperse and neutrally-buoyant with the liquid. The role of the particles on the transition depends both upon the pipe…

Fluid Dynamics · Physics 2009-11-10 Jean-Philippe Matas , Jeffrey F. Morris , Elisabeth Guazzelli

Low Reynolds number turbulence in wall-bounded shear flows \emph{en route} to laminar flow takes the form of oblique, spatially-intermittent turbulent structures. In plane Couette flow, these emerge from uniform turbulence via a…

Fluid Dynamics · Physics 2023-06-08 S. Gomé , L. S. Tuckerman , D. Barkley

Through experiments, we idealise a plant leaf as a flexible, thin, rectangular plate clamped at the midpoint and positioned perpendicular to an airflow. Flexibility of the structure is considered as an advantage at moderate flow speed…

Fluid Dynamics · Physics 2024-03-05 Maryam Boukor , Augustin Choimet , Éric Laurendeau , Frédérick P. Gosselin

Turbulence is one of the most fascinating phenomena in nature and one of the biggest challenges for modern physics. It is common knowledge that a flow of a simple, Newtonian fluid is likely to be turbulent, when velocity is high, viscosity…

Chaotic Dynamics · Physics 2017-05-10 Alexander Groisman , Victor Steinberg

When a liquid flows down a vertical tube at a low flowrate, it may not be able to completely cover the surface as a film, and the flow will comprise a number of rivulets separated by unwetted areas. Predictions of the minimum film thickness…

Fluid Dynamics · Physics 2024-07-09 David T. Hughes

The Frisch-Parisi multifractal formalism remains the most compelling rationalisation for anomalous scaling in fully developed turbulence. We now show that this formalism can be adapted locally to reveal the spatial distribution of…

Fluid Dynamics · Physics 2023-07-13 Siddhartha Mukherjee , Sugan D. Murugan , Ritwik Mukherjee , Samriddhi Sankar Ray

A new, fully-localised, energy growth optimal is found over large times and in long pipe domains at a given mass flow rate. This optimal emerges at a threshold disturbance energy below which a nonlinear version of the known…

Fluid Dynamics · Physics 2014-08-08 Chris C. T. Pringle , Ashley P. Willis , Rich R. Kerswell

Linear transient growth analysis is commonly used to suggest the structure of disturbances which are particularly efficient in triggering transition to turbulence in shear flows. We demonstrate that the addition of nonlinearity to the…

Fluid Dynamics · Physics 2010-09-06 Chris C. T. Pringle , Rich R. Kerswell

We use interface-resolved simulations to study near-wall turbulence modulation by small inertial particles, much denser than the fluid, in dilute/semi-dilute conditions. We considered three bulk solid mass fractions, $\Psi=0.34\%$, $3.37\%$…

Fluid Dynamics · Physics 2021-07-19 Pedro Costa , Luca Brandt , Francesco Picano

Results of direct numerical simulations and laboratory experiments have been used in order to show that the buoyancy driven bubbly flows at high gas volume fraction are mixed by deterministic chaos with typical exponential spectrum of the…

Fluid Dynamics · Physics 2022-04-29 A. Bershadskii

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

This work presents a mathematical model for the optimal control of thin-film flows over a flexible topography influenced by an external force. Our thin-film model allows for the rupture of films as well as the coalescence of bubbles. The…

Optimization and Control · Mathematics 2025-06-19 S. Alrashidy , A. Kalogirou , D. Kalise , K. G. van der Zee

The transition to turbulence in conduits is among the longest-standing problems in fluid mechanics. Challenges in producing or saving energy hinge on understanding promotion or suppression of turbulence. While a global picture based on an…

Fluid Dynamics · Physics 2023-05-23 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard

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

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

We consider the problem of "wall-to-wall optimal transport" in which we attempt to maximize the transport of a passive temperature field between hot and cold plates. Specifically, we optimize the choice of the divergence-free velocity field…

Analysis of PDEs · Mathematics 2022-05-09 Anuj Kumar

Accurate prediction of the transition from laminar flow to turbulence remains an unresolved challenge despite its importance for understanding a variety of environmental, biological, and industrial phenomena. Well over a century of…

Fluid Dynamics · Physics 2023-01-10 John O. Dabiri , Nina Mohebbi , Matthew K. Fu

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
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