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We consider shear wave propagation in soft viscoelastic solids of rate type. Based on objective stress rates, the constitutive model accounts for finite strain, incompressibility, as well as stress- and strain-rate viscoelasticity. The…

Soft Condensed Matter · Physics 2023-09-25 Harold Berjamin , Michel Destrade , Giuseppe Saccomandi

Molecular-motor generated active stresses drive the cytoskeleton away from equilibrium, endowing it with tunable mechanical properties that are essential for diverse functions such as cell division and motility[1-5]. Designing analogous…

Asymptotic multi-layer analyses and computation of solutions for turbulent flows over steady and unsteady monochromatic surface wave are reviewed, in the limits of low turbulent stresses and small wave amplitude. The structure of the flow…

Fluid Dynamics · Physics 2013-12-17 S. G. Sajjadi , J. C. R. Hunt , F. Drullion

Shear thickening appears as an increase of the viscosity of a dense suspension with the shear rate, sometimes sudden and violent at high volume fraction. Its origin for noncolloidal suspension with non-negligible inertial effects is still…

Fluid Dynamics · Physics 2013-09-10 Francesco Picano , Wim-Paul Breugem , Dhrubaditya Mitra , Luca Brandt

A central mechanism of linearised two dimensional shear instability can be described in terms of a nonlinear, action-at-a-distance, phase-locking resonance between two vorticity waves which propagate counter to their local mean flow as well…

Fluid Dynamics · Physics 2019-10-16 Eyal Heifetz , Anirban Guha

We present an experimental study of the saturated non-linear dynamics of an inertial wave attractor in an axisymmetric geometrical setting. The experiments are carried out in a rotating ring-shaped fluid domain delimited by two vertical…

We present a numerical study of noncolloidal spherical and rigid particles suspended in Newtonian, shear thinning and shear thickening fluids employing an Immersed Boundary Method. We consider a linear Couette configuration to explore a…

Fluid Dynamics · Physics 2018-08-29 Dhiya Alghalibi , Iman Lashgari , Luca Brandt , Sarah Hormozi

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

Oscillatory shear on two-dimensional monodisperse liquid foams was performed. We show that the effect of the oscillatory shear is to cause the migration of bubbles which size is greater than that of a typical bubble of the foam. These…

Soft Condensed Matter · Physics 2007-05-23 C. Quilliet , M. A. P. Idiart , B. Dollet , L. Berthier , A. Yekini

We investigate the dynamics of relaxation, by surface tension, of a family of curved interfaces between an inviscid and viscous fluids in a Hele-Shaw cell. At t=0 the interface is assumed to be of the form |y|=A x^m, where A>0, m \geq 0,…

Fluid Dynamics · Physics 2009-11-13 Baruch Meerson , Pavel V. Sasorov , Arkady Vilenkin

Nominal two-dimensional (2D) shear layers have been studied extensively, and their principal dynamics are well understood. In practical configurations, however, the behavior of such shear layers is affected by proximal surfaces. In this…

Fluid Dynamics · Physics 2026-01-26 Mitesh Thakor , Datta V Gaitonde , Yiyang Sun

Although internal gravity waves are generally recognized as an important mechanism to distribute energy through the atmosphere, their dynamics near the instability is only partially understood to date. Many types of instabilities, notably…

Fluid Dynamics · Physics 2023-10-02 Georg Sebastian Voelker , Mark Schlutow

We compute the full set of second-order inertial corrections to the instantaneous force and torque acting on a small spherical rigid particle moving unsteadily in a general steady linear flow. This is achieved by using matched asymptotic…

Fluid Dynamics · Physics 2023-12-21 Fabien Candelier , Rabah Mehaddi , Bernhard Mehlig , Jacques Magnaudet

We interpret as shear viscosity the anisotropic pressure that emerges in inhomogeneous spherically symmetric spacetimes described by the Lemaitre-Tolman-Bondi (LTB) metric in a comoving frame. By assuming that local isotropic pressure and…

General Relativity and Quantum Cosmology · Physics 2008-12-24 Roberto A Sussman

Unstable equilibrium solutions in a homogeneous shear flow with sinuous symmetry are numerically found in large-eddy simulations (LES) with no kinetic viscosity. The small-scale properties are determined by the mixing length scale $l_S$…

Fluid Dynamics · Physics 2017-10-11 Atsushi Sekimoto , Javier Jiménez

Here we consider the problem of small oscillations of a rotating inviscid incompressible fluid. From a mathematical point of view, new exact solutions to the two-dimensional Poincar\'e-Sobolev equation in a class of domains including…

Fluid Dynamics · Physics 2016-10-24 S. D. Troitskaya

Elastomeric materials when sliding on clean and rough surfaces generate wrinkles at the interface due to tangential stress gradients. These interfacial folds travel along the bottom of elastomer as surface detachment waves to facilitate the…

The various patterns of internal solitary wave interactions are complex phenomena in the ocean, susceptible to the influence of shear flow and density distributions. Satellite imagery serves as an effective tool for investigating these…

Fluid Dynamics · Physics 2023-11-15 Junchao Sun , Xiaoyan Tang , Yong Chen

When a block made of an elastomer is subjected to large shear, its surface remains flat. When a block of biological soft tissue is subjected to large shear, it is likely that its surface in the plane of shear will buckle (apparition of…

Soft Condensed Matter · Physics 2008-12-09 M. Destrade , M. D. Gilchrist , D. A. Prikazchikov , G. Saccomandi

We study the dynamics of the two dimensional Navier-Stokes equations linearized around a shear flow on a (non-square) torus which possesses exactly two non-degenerate critical points. We obtain linear inviscid damping and vorticity…

Analysis of PDEs · Mathematics 2024-04-30 Rajendra Beekie , Shan Chen , Hao Jia