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We analyze the stability of a planar solid-solid interface at which a chemical reaction occurs. Examples include oxidation, nitridation, or silicide formation. Using a continuum model, including a general formula for the stress-dependence…

Materials Science · Physics 2009-10-31 G. Grinstein , Yuhai Tu , J. Tersoff

This experimental study investigates the effects of viscosity contrast between a saltwater jet and its high-viscosity propylene glycol surroundings. Using density-matched fluids in a gravity-driven flow, Jet Reynolds numbers (Re) from 1600…

Fluid Dynamics · Physics 2024-01-01 Vinod Srinivasan , Xijun Tan , Emmet Whitely , Ian Wright , Akash Dhotre , Jinwei Yang

When the ion mean free path much exceeds the Larmor radius in a plasma, the viscous stress tensor is altered dramatically, and depends only upon quantities measured along the field lines. This regime corresponds to typical interstellar…

Astrophysics · Physics 2009-11-10 Steven A. Balbus

Rendering tactile effects on a touch screen via electrovibration has many potential applications. However, our knowledge on tactile perception of change in friction and the underlying contact mechanics are both very limited. In this study,…

Human-Computer Interaction · Computer Science 2021-03-31 Idil Ozdamar , M. Reza Alipour , Benoit P. Delhaye , Philippe Lef`evre , Cagatay Basdogan

Advancements in industrial applications are driving developments in non-contacting mechanical seal technology. Key requirements include improvements in efficiency and reliability, which lead to smaller clearances, lower frictional losses,…

Numerical Analysis · Mathematics 2025-09-25 Ben S Ashby , Tristan Pryer , Nicola Y Bailey

Hydrodynamic instabilities in miscible fluids are ubiquitous, from natural phenomena up to geological scales, to industrial and technological applications, where they represent the only way to control and promote mixing at low Reynolds…

Soft Condensed Matter · Physics 2017-12-21 Domenico Truzzolillo , Luca Cipelletti

Instability of stratified multi-phase flow in a rotating platform becomes important because of a potential role in micro-mixing and micro-machines. Centrifugal actuation can play an important role in driving the flow and Coriolis force can…

Fluid Dynamics · Physics 2018-11-29 Saunak Sengupta , Sukhendu Ghosh , Sandeep Saha , Suman Chakraborty

Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are interested in the quasi-static response of a viscoelastic solid subjected to damage. This paper…

Computational Engineering, Finance, and Science · Computer Science 2023-05-15 Rajasekar Gopalsamy , Nicolas Chevaugeon , Olivier Chupin , Ferhat Hammoum

We consider a class of singularly perturbed 2-component reaction-diffusion equations which admit bistable traveling front solutions, manifesting as sharp, slow-fast-slow, interfaces between stable homogeneous rest states. In many example…

Analysis of PDEs · Mathematics 2022-12-28 Paul Carter , Arjen Doelman , Kaitlynn Lilly , Erin Obermayer , Shreyas Rao

Recently a fingering morphology, resembling the hydrodynamic Saffman-Taylor instability, was identified in the quasi-two-dimensional electrodeposition of copper. We present here measurements of the dispersion relation of the growing front.…

Pattern Formation and Solitons · Physics 2009-11-07 Matthias Schröter , Klaus Kassner , Ingo Rehberg , Josep Claret , Francesc Sagués

We address a numerical instability that arises in the directionally split computation of hydrodynamic flows when shock fronts are parallel to a grid plane. Transverse oscillations in pressure, density and temperature are produced that are…

Astrophysics · Physics 2007-05-23 R. S. Sutherland , D. K. Bisset , G. V. Bicknell

Spreading on the free surface of a complex fluid is ubiquitous in nature and industry, owing to the wide existence of complex fluids. Here we report on a fingering instability that develops during Marangoni spreading on a deep layer of…

Fluid Dynamics · Physics 2021-02-03 Xue Ma , Menglin Zhong , Yifeng He , Zhanwei Liu , Zhenzhen Li

Our experiments on viscous (Saffman-Taylor) fingering in Hele-Shaw channels reveal several phenomena that were not observed in previous experiments. At low flow rates, growing fingers undergo width fluctuations that intermittently narrow…

Soft Condensed Matter · Physics 2009-11-07 Mitchell G. Moore , Anne Juel , John M. Burgess , W. D. McCormick , Harry L. Swinney

Theoretical and numerical analysis of the relativistic effects on the Richtmyer-Meshkov (RM) instability reveals new and potentially very useful effects. We find that, in contrast with the non- relativistic case, the growth rate of the RM…

High Energy Astrophysical Phenomena · Physics 2015-06-17 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

Properties of reaction zones resulting from A+B -> C type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic…

Other Condensed Matter · Physics 2009-11-11 Ioana Bena , Michel Droz , Kirsten Martens , Zoltan Racz

We have calculated the general dispersion relationship for surface waves on a ferrofluid layer of any thickness and viscosity, under the influence of a uniform vertical magnetic field. The amplification of these waves can induce an…

Fluid Dynamics · Physics 2009-10-30 Berengere Abou , Gilles Neron de Surgy , Jose-Eduardo Wesfreid

We study 2D fronts propagating up a co-moving reaction rate gradient in finite number reaction-diffusion systems. We show that in a 2D rectangular channel, planar solutions to the deterministic mean-field equation are stable with respect to…

Statistical Mechanics · Physics 2009-11-11 C. Scott Wylie , Herbert Levine , David A. Kessler

Recent experimental developments showed that the use of the radiation pressure, induced by a continuous laser wave, to control fluid-fluid interface deformations at the microscale, represents a very promising alternative to electric or…

Soft Condensed Matter · Physics 2010-07-26 Hamza Chraibi , Didier Lasseux , Régis Wunenburger , Eric Arquis , Jean-Pierre Delville

In this paper, the interfacial motion between two immiscible viscous fluids in the confined geometry of a Hele-Shaw cell is studied. We consider the influence of a thin wetting film trailing behind the displaced fluid, which dynamically…

Fluid Dynamics · Physics 2021-06-16 Pedro H. A. Anjos , M. Zhao , J. Lowengrub , Weizhu Bao , Shuwang Li

The shape of a microchannel is usually affected by a significant uncertainty due to the small size of the cross-section, comparable with the typical wall-roughness length scale. Such an uncertainty is present at any scale, but it is…

Fluid Dynamics · Physics 2024-06-18 A. Barletta , M. Celli , L. A. Sphaier , P. V. Brandao , S. Lazzari , E. Ghedini