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We prove that, in a two-dimensional strip, a steady flow of an ideal incompressible fluid with no stationary point and tangential boundary conditions is a shear flow. The same conclusion holds for a bounded steady flow in a half-plane. The…

Analysis of PDEs · Mathematics 2015-09-16 François Hamel , Nikolai Nadirashvili

The present work investigates the mechanical behaviour of finite-size, elastic and inertial fibres freely moving in a homogeneous and isotropic turbulent flow at moderate Reynolds number. Fully-resolved, direct numerical simulations, based…

Fluid Dynamics · Physics 2022-08-24 Stefano Olivieri , Andrea Mazzino , Marco E. Rosti

We investigate the stability and geometrically non-linear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition…

Soft Condensed Matter · Physics 2016-08-31 J. M. Skotheim , L. Mahadevan

An asymptotic interface equation for directional solidification near the absolute stabiliy limit is extended by a nonlocal term describing a shear flow parallel to the interface. In the long-wave limit considered, the flow acts…

Condensed Matter · Physics 2009-11-07 Yannick Marietti , Jean-Marc Debierre , Thomas-Michael Bock , Klaus Kassner

Recent studies of pressure-driven flows of dilute polymer solutions in straight channels demonstrated the existence of two-dimensional coherent structures that are disconnected from the laminar state and appear through a sub-critical…

Fluid Dynamics · Physics 2023-03-29 Martin Lellep , Moritz Linkmann , Alexander Morozov

Using non-equilibrium Brownian dynamics computer simulations, we have investigated the steady state statistics of a polymer chain under three different shear environments: i) linear shear flow in the bulk (no walls), ii) shear vorticity…

Soft Condensed Matter · Physics 2015-05-14 Gui-Li He , René Messina , Hartmut Löwen

We describe a numerical method to simulate an elastic shell immersed in a viscous incompressible fluid. The method is developed as an extension of the immersed boundary method using shell equations based on the Kirchhoff-Love and the planar…

Numerical Analysis · Mathematics 2025-10-20 E. Givelberg

In this fluid dynamics video we explore an array of different possible dynamics for a flexible filament sedimenting in a viscous fluid. The time-dependent shapes and trajectories of the filament are determined analytically and numerically…

Fluid Dynamics · Physics 2013-10-03 Harishankar Manikantan , Lei Li , David Saintillan , Saverio E. Spagnolie

In a wide range of applications, microfluidic channels are implemented in soft substrates. In such configurations, where fluidic inertia and compressibility are negligible, the propagation of fluids in channels is governed by a balance…

Fluid Dynamics · Physics 2018-12-07 Evgeniy Boyko , Moran Bercovici , Amir D. Gat

The dynamics of an adhesive two-dimensional vesicle doublet under various flow conditions is investigated numerically using a high-order, adaptive-in-time boundary integral method. In a quiescent flow, two nearby vesicles move slowly…

Fluid Dynamics · Physics 2019-07-23 Bryan Quaife , Shravan Veerapaneni , Y. -N. Young

Dynamics of a single vesicle under shear flow between two parallel plates is studied using two-dimensional lattice-Boltzmann simulations. We first present how we adapted the lattice-Boltzmann method to simulate vesicle dynamics, using an…

Soft Condensed Matter · Physics 2011-09-16 Badr Kaoui , Jens Harting , Chaouqi Misbah

The dynamics of fluid vesicles in oscillatory shear flow was studied using differential equations of two variables: the Taylor deformation parameter and inclination angle $\theta$. In a steady shear flow with a low viscosity $\eta_{\rm…

Soft Condensed Matter · Physics 2015-05-14 Hiroshi Noguchi

Linear stability analysis of an elastically anchored wing in a uniform flow is investigated both analytically and numerically. The analytical formulation explicitly takes into account the effect of the wake on the wing by means of…

Fluid Dynamics · Physics 2012-02-27 A. Orchini , A. Mazzino , J. Guerrero , R. Festa , C. Boragno

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

The decay of a passive scalar in a three-dimensional chaotic flow is studied using high-resolution numerical simulations. The (volume-preserving) flow considered is a three-dimensional extension of the randomised alternating sine flow…

Chaotic Dynamics · Physics 2015-03-18 Keith Ngan , Jacques Vanneste

The interplay of inertia and elasticity is shown to have a significant impact on the transport of filamentary objects, modelled by bead-spring chains, in a two-dimensional turbulent flow. We show how elastic interactions amongst inertial…

Fluid Dynamics · Physics 2020-05-27 Rahul Singh , Mohit Gupta , Jason R. Picardo , Dario Vincenzi , Samriddhi Sankar Ray

The elastic response of a two-dimensional amorphous solid to induced local shear transformations, which mimic the elementary plastic events occurring in deformed glasses, is investigated via Molecular Dynamics simulations. We show that for…

Soft Condensed Matter · Physics 2014-08-01 Francesco Puosi , Joerg Rottler , Jean-Louis Barrat

We study the deformation and transport of elastic fibers in a viscous Hele-Shaw flow with curved streamlines. The variations of the global velocity and orientation of the fiber follow closely those of the local flow velocity. The ratios of…

Fluid Dynamics · Physics 2015-06-23 H. M. Lopez , J-P Hulin , H. Auradou , M. V. D'Angelo

X-ray photon correlation spectroscopy was used to measure the diffusive dynamics of colloidal particles in a shear flow. The results presented here show how the intensity autocorrelation functions measure both the diffusive dynamics of the…

Soft Condensed Matter · Physics 2009-11-13 Sebastian Busch , Torben Haugaard Jensen , Yuriy Chushkin , Andrei Fluerasu

The equations of a planar elastica under pressure can be rewritten in a useful form by parametrising the variables in terms of the local orientation angle, $\theta$, instead of the arc length. This ``$\theta$-formulation'' lends itself to a…

Soft Condensed Matter · Physics 2023-07-25 Gregory Kozyreff , Emmanuel Siéfert , Basile Radisson , Fabian Brau
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