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Morphological instability of the solid-liquid interface occuring in a crystal growing from an undercooled thin liquid being bounded on one side by a free surface and flowing down inclined plane is investigated by a linear stability analysis…

材料科学 · 物理学 2009-11-10 K. Ueno

In this paper we study the dynamics of a layer of incompressible viscous fluid bounded below by a rigid boundary and above by a free boundary, in the presence of a uniform gravitational field. We assume that a mass of surfactant is present…

偏微分方程分析 · 数学 2017-02-09 Ian Tice , Lei Wu

Starting from the equations of Stokes flow and the mass conservation of particles as determined by shear-induced diffusion, we derive the coupled equations for the dynamics of particle concentration and film thickness for the free-surface…

软凝聚态物质 · 物理学 2007-05-23 Rama Govindarajan , Prabhu R. Nott , Sriram Ramaswamy

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…

流体动力学 · 物理学 2023-10-02 Georg Sebastian Voelker , Mark Schlutow

Parametric oscillations of an interface separating two fluid phases create nonlinear surface waves, called Faraday waves, which organise into simple patterns, like squares and hexagons, as well as complex structures, such as double…

The formation of periodic wrinkles in soft layered materials due to mechanical instabilities is prevalent in nature and has been proposed for use in multiple applications. However, such phenomena have been explored predominantly in…

We study theoretically the formation of shear bands in time-dependent flows of polymeric and wormlike micellar surfactant fluids, focussing on the protocols of step shear stress, step shear strain (or in practice a rapid strain ramp), and…

软凝聚态物质 · 物理学 2015-06-16 Robyn L. Moorcroft , Suzanne M. Fielding

A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thickness of the medium, such scroll wave will have a tendency to…

斑图形成与孤子 · 物理学 2015-06-05 Hans Dierckx , Henri Verschelde , Ozgur Selsil , Vadim Biktashev

In the present paper we theoretically study the shear force exerted on an infinite horizontal plane undergoing fast lateral oscillations in presence of a rigid particle suspended in the viscous liquid above the plate. The study is largely…

流体动力学 · 物理学 2022-12-02 Itzhak Fouxon , Boris Rubinstein , Alexander M. Leshansky

Wave interaction theory can be used as a tool to understand and predict instability in a variety of homogeneous and stratified shear flows. It is however, most often limited to piecewise-linear profiles of the shear layer background…

流体动力学 · 物理学 2019-09-04 Jeff Carpenter , Anirban Guha

A light breeze rising over calm water initiates an intricate chain of events that culminates in a centimeters-deep turbulent shear layer capped by gravity-capillary ripples. At first, viscous stress accelerates a laminar wind-drift layer…

流体动力学 · 物理学 2023-07-31 Gregory LeClaire Wagner , Nick Pizzo , Luc Lenain , Fabrice Veron

Dynamic particle-scale numerical simulations are used to show that the shear thickening observed in dense colloidal, or Brownian, suspensions is of a similar nature to that observed in non-colloidal suspensions, i.e., a stress-induced…

软凝聚态物质 · 物理学 2015-12-04 Romain Mari , Ryohei Seto , Jeffrey F. Morris , Morton M. Denn

The Plateau-Rayleigh instability shows that a cylindrical fluid flow can be destabilized by surface tension. Similarly, capillary forces can make an elastic cylinder unstable when the elastocapillary length is comparable to the cylinder's…

软凝聚态物质 · 物理学 2025-07-15 F. Magni , D. Riccobelli

We consider a spherical variant of the Faraday problem, in which a spherical drop is subjected to a time-periodic body force, as well as surface tension. We use a full three-dimensional parallel front-tracking code to calculate the…

流体动力学 · 物理学 2019-05-14 Ali-higo Ebo-Adou , Laurette S. Tuckerman , Seungwon Shin , Jalel Chergui , Damir Juric

We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

偏微分方程分析 · 数学 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

This paper investigates the generation of free-surface waves in a liquid layer driven by linear instabilities in Couette-Poiseuille (quadratic) shear flows. The base velocity profiles are characterized by a curvature parameter, and…

流体动力学 · 物理学 2025-08-29 Harishankar Muppirala , Ramana Patibandla , Anubhab Roy

The solution was found from Navier-Stokes equation and boundary conditions with interfacial tension as function of the film substance concentration. Here the method of Chen&Vinals is used. It was found that adding to coefficient leads to…

流体动力学 · 物理学 2007-05-23 E. Postnikov

The linear analysis of the instability due to vertical shear in the dust layer of the solar nebula is performed. The following assumptions are adopted throughout this paper: (1) The self-gravity of the dust layer is neglected. (2) One fluid…

天体物理学 · 物理学 2009-11-07 Naoki Ishitsu , Minoru Sekiya

Discontinuous shear thickening (DST) is associated with a sharp rise of a suspension's viscosity with increasing applied shear rate. A key signature of DST, highlighted in recent studies, is the very large fluctuations of the measured…

软凝聚态物质 · 物理学 2022-10-04 Abhay Goyal , Nicos S. Martys , Emanuela Del Gado

We experimentally investigate shear thickening in dense granular suspensions under oscillatory shear. Directly imaging the suspension-air interface, we observe dilation beyond a critical strain $\gamma_c$ and the end of shear thickening as…

软凝聚态物质 · 物理学 2014-10-14 Qin Xu , Sayantan Majumdar , Eric Brown , Heinrich M. Jaeger