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Normal stresses in complex fluids lead to new flow phenomena because they can be comparable to or even larger than the shear stress itself. In addition, they are of paramount importance for formulating and testing constitutive equations for…

Soft Condensed Matter · Physics 2018-10-18 Henri de Cagny , Mina Fazilati , Mehdi Habibi , Morton M. Denn , Daniel Bonn

The rimming flow of a viscoelastic thin film inside a rotating horizontal cylinder is studied theoretically. Attention is given to the onset of non-Newtonian free-surface instability in creeping flow. This non-inertial instability has been…

Fluid Dynamics · Physics 2015-09-18 Sergei Fomin , Ravi Shankar , Peter Haine

While many dynamical systems of mechanical origin, in particular billiards, are strongly chaotic -- enjoy exponential mixing, the rates of mixing in many other models are slow (algebraic, or polynomial). The dynamics in the latter are…

Mathematical Physics · Physics 2009-11-10 Nikolai Chernov , Hong-Kun Zhang

Non-linear oscillations of an elliptical cylinder, that can rotate about an axis that passes through its symmetry axle due to a torsional spring and hydrodynamic torque produced by the flow of a Newtonian fluid, were analysed in terms of a…

Fluid Dynamics · Physics 2023-07-28 F. Mandujano , E. Vázquez-Luis

A part of non-Newtonian fluids are yield stress fluids. They require a minimum stress to flow. Below this minimum value, yield stress fluids remain solid. To date, 1D and 2D numerical models have been used predominantly to study free…

Fluid Dynamics · Physics 2018-08-03 N Schaer , J. Vazquez , M. Dufresne , G Isenmann , J. Wertel

Stabilized dense emulsions display a rich phenomenology connecting microstructure and rheology. In this work we study how an emulsion with a finite yield stress can be built via large-scale stirring. By gradually increasing the volume…

Stability of coarse particles against gravity is an important issue in dense suspensions (fresh concrete, foodstuff, etc.). On the one hand, it is known that they are stable at rest when the interstitial paste has a high enough yield…

Soft Condensed Matter · Physics 2012-06-11 Guillaume Ovarlez , François Bertrand , Philippe Coussot , Xavier Chateau

Mixing in viscous fluids is challenging, but chaotic advection in principle allows efficient mixing. In the best possible scenario,the decay rate of the concentration profile of a passive scalar should be exponential in time. In practice,…

Fluid Dynamics · Physics 2013-09-24 Jean-Luc Thiffeault , Emmanuelle Gouillart , Olivier Dauchot

Yield-stress is a problematic and controversial non-Newtonian flow phenomenon. In this article, we investigate the flow of yield-stress substances through porous media within the framework of pore-scale network modeling. We also investigate…

Fluid Dynamics · Physics 2010-05-12 Taha Sochi

It is shown that the addition of small amounts of microscopic rods in a viscous fluid at low Reynolds number causes a significant increase of the flow resistance. Numerical simulations of the dynamics of the solution reveal that this…

Fluid Dynamics · Physics 2017-11-22 Emmanuel L. C. VI M. Plan , Stefano Musacchio , Dario Vincenzi

We present a comprehensive review of the physical behavior of yield stress materials in soft condensed matter, which encompass a broad range of materials from colloidal assemblies and gels to emulsions and non-Brownian suspensions. All…

Soft Condensed Matter · Physics 2017-08-25 Daniel Bonn , Morton M. Denn , Ludovic Berthier , Thibaut Divoux , Sébastien Manneville

The present research is a theoretical study about the transient friction created in circular pipe mean flow, whenever an incompressible Newtonian fluid is accelerated through a monotonously-increased mean-pressure gradient. The resulting…

Fluid Dynamics · Physics 2025-10-23 F. Javier Garcia Garcia , Pablo Fariñas Alvariño

We study the spatial patterns formed by interacting populations or reacting chemicals under the influence of chaotic flows. In particular, we have considered a three-component model of plankton dynamics advected by a meandering jet. We…

We study numerically joint mixing of salt and colloids by a chaotic velocity field $\mathbf{V}$, and how salt inhomogeneities accelerate or delay colloid mixing by inducing a velocity drift $\mathbf{V}_{\rm dp}$ between colloids and fluid…

A theoretical and numerical study of complex sliding flows of yield-stress fluids is presented. Yield-stress fluids are known to slide over solid surfaces if the tangential stress exceeds the {\it sliding yield stress}. The sliding may…

Fluid Dynamics · Physics 2021-02-24 Emad Chaparian , Outi Tammisola

Chaotic variations in flow speed up mixing of scalar fields via intensified stirring. This paper addresses the statistical properties of a passive scalar field mixing in a regular shear flow with random fluctuations against its background.…

Fluid Dynamics · Physics 2023-09-27 Nikolay A. Ivchenko , Vladimir V. Lebedev , Sergey S. Vergeles

We performed a numerical study of the efficiency of mixing by alternating horizontal and vertical shear ``wedge'' flows on the two-dimensional torus. Our results suggest that except in cases where each individual flow is applied for only a…

Analysis of PDEs · Mathematics 2021-11-02 Li-Tien Cheng , Frederick Rajasekaran , Kin Yau James Wong , Andrej Zlatos

We study the dynamics of a dilute solution of rigid rodlike polymers in a viscous fluid at low Reynolds number by means of numerical simulations of a simple rheological model. We show that the rotational dynamics of polymers destabilizes…

Fluid Dynamics · Physics 2022-11-11 Leonardo Puggioni , Guido Boffetta , Stefano Musacchio

Yield-stress materials, which require a sufficiently large forcing to flow, are currently ill-understood theoretically. To gain insight into their yielding transition, here we study numerically the rheology of a suspension of deformable…

We investigate the influence of rotation on the onset and saturation of the Faraday instability in a vertically oscillating two-layer miscible fluid using a theoretical model and direct numerical simulations (DNS). Our analytical approach…

Fluid Dynamics · Physics 2022-07-29 Narinder Singh , Anikesh Pal