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Motivated by the reported peculiar dynamics of a red blood cell in shear flow, we develop an analytical theory for the motion of a nearly--spherical fluid particle enclosed by a visco--elastic incompressible interface in linear flows. The…

Fluid Dynamics · Physics 2010-07-06 Petia M. Vlahovska , Yuan-nan Young , Gerrit Danker , Chaouqi Misbah

The dynamics of filaments in flow are central to understanding a wide range of biological and soft-matter systems, yet their behavior under time-dependent forcing remains poorly understood. Here, we investigate the long-time dynamics of…

Soft Condensed Matter · Physics 2026-01-05 Francesco Bonacci , Brato Chakrabarti , Olivia du Roure , Anke Lindner , David Saintillan

The shape dynamics of fluid vesicles is governed by the coupling of the flow within the two-dimensional membrane to the hydrodynamics of the surrounding bulk fluid. We present a numerical scheme which is capable of solving this flow problem…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Wolfgang Wintz , Udo Seifert , Reinhard Lipowsky

Laminar shear flows can display large non-modal perturbation growth, often through the lift-up mechansm, and can undergo subcritical transition to turbulence. The process is three-dimensional. Two-dimensional (2D) spanwise-independent…

Fluid Dynamics · Physics 2024-05-01 Sharath Jose

We study a simple model of shear banding in which the flow-induced phase is destabilised by coupling between flow and microstructure (wormlike micellar length). By varying the strength of the instability and the applied shear rate, we find…

Soft Condensed Matter · Physics 2007-05-23 Suzanne Fielding , Peter Olmsted

We study a nonlinear, unsteady, moving boundary, fluid-structure (FSI) problem in which the structure is composed of two layers: a thin layer which is in contact with the fluid, and a thick layer which sits on top of the thin structural…

Analysis of PDEs · Mathematics 2013-05-24 Boris Muha , Suncica Canic

We present the spectral analysis of three-dimensional dynamics of an elastic filament in a shear flow of a viscous fluid at a low Reynolds number in the absence of Brownian motion. The elastica model is used. The fiber initially is almost…

Fluid Dynamics · Physics 2023-07-14 Lujia Liu , Pawel Sznajder , Maria L. Ekiel-Jezewska

We examine microstructural and mechanical changes which occur during oscillatory shear flow and reformation after flow cessation of an intermediate volume fraction colloidal gel using rheometry and Brownian Dynamics (BD) simulations. A…

Soft Condensed Matter · Physics 2017-07-11 E. Moghimi , A. R. Jacob , N. Koumakis , G. Petekidis

The structure and stability of the convective flow generated by a source located at the water surface containing an insoluble surfactant layer are experimentally investigated. Application of a few types of source, which differ in the force…

Fluid Dynamics · Physics 2022-04-13 Aleksey Mizev , Andrey Shmyrov , Anastasia Shmyrova

The dynamic rheology of a polymer melt composed of short chains with ten beads between rapidly oscillating plates is investigated for various oscillation frequencies by using the hybrid simulation of the molecular dynamics and computational…

Soft Condensed Matter · Physics 2014-01-08 Shugo Yasuda , Ryoichi Yamamoto

We prove the existence of martingale solutions to a stochastic fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the Navier-Stokes equations, through a deformable elastic tube modeled by…

Analysis of PDEs · Mathematics 2024-02-22 Krutika Tawri

We study steady-state oscillations of an elastic Hele-Shaw cell excited by traveling pressure waves over its upper surface. The fluid within the cell is bounded by two asymmetric elastic sheets which are connected to a rigid surface via…

Fluid Dynamics · Physics 2017-04-12 Arie Tulchinsky , Amir D. Gat

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time-dependent pressure data, is…

Analysis of PDEs · Mathematics 2015-06-05 Boris Muha , Suncica Canic

The slip of a fluid layer in contact with a solid confining surface is investigated for different temperatures and densities using molecular dynamic simulations. We show that for an anomalous water-like fluid the slip goes as follows: for…

Soft Condensed Matter · Physics 2018-03-21 Patricia Ternes , Evy Salcedo , Marcia C. Barbosa

We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non-contractible streamlines which foliate the domain), then they must be either parallel or…

Analysis of PDEs · Mathematics 2024-10-25 Theodore D. Drivas , Marc Nualart

Despite their significance in biology and materials science, the dynamics of multicomponent vesicles under shear flow remain poorly understood because of their nonlinear and strongly coupled nature, especially regarding the role of membrane…

Soft Condensed Matter · Physics 2025-09-11 Shuqi Tang , Steven M. Wise , John Lowengrub , Zhenlin Guo

Deformed droplets are ubiquitous in various industrial applications, such as inkjet printing, lab-on-a-chip devices, and spray cooling, and can fundamentally affect the involved applications both favorably and unfavorably. Here, we employ…

This contribution reports on numerical simulations of 2D granular flows on erodible beds. The broad aim is to investigate whether simple flows of model granular matter exhibits spontaneous oscillatory motion in generic flow conditions, and…

Soft Condensed Matter · Physics 2012-11-27 Lydie Staron

Motivated by the need for a theoretical study in a planar geometry that can easily be implemented experimentally, we study the pressure driven Poiseuille flow of a shear banding fluid. After discussing the "basic states" predicted by a one…

Soft Condensed Matter · Physics 2009-09-03 Suzanne M. Fielding , Helen J. Wilson

I shortly describe the main results on elastically driven instabilities and elastic turbulence in viscoelastic inertia-less flows with curved streamlines. Then I describe a theory of elastic turbulence and prediction of elastic waves at…

Fluid Dynamics · Physics 2022-06-08 V. Steinberg