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The effect of self-affine roughness on solid contact is examined with molecular dynamics and continuum calculations. The contact area and normal and lateral stiffnesses rise linearly with the applied load, and the load rises exponentially…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Sreekanth Akarapu , Tristan Sharp , Mark O. Robbins

Internal haemorrhage, often leading to cardio-vascular arrest happens to be one of the prime sources of high fatality rates in mammals. We propose a simplistic model of fluid flow to specify the location of the haemorrhagic spots, which, if…

Soft Condensed Matter · Physics 2013-04-01 Amit K. Chattopadhyay , Shreekantha Sil

We introduce a numerical method for investigating interfacial flows coupled with frictional solid particles. Our method combines the lattice Boltzmann method (LBM) to model the dynamics of a two-component fluid and the discrete element…

Fluid Dynamics · Physics 2025-05-16 Abhinav Naga , Xitong Zhang , Junyu Yang , Halim Kusumaatmaja

The dynamics of sharp interfaces separating two non-hydrostatically stressed solids is analyzed using the idea that the rate of mass transport across the interface is proportional to the thermodynamic potential difference across the…

Materials Science · Physics 2009-11-13 Luiza Angheluta , Espen Jettestuen , Joachim Mathiesen

We analyze a non-isothermal Darcy-Brinkman thin-film flow with a periodically oscillating boundary and viscous dissipation acting as a heat source. Using asymptotic analysis and the periodic unfolding method, we establish the convergence of…

Analysis of PDEs · Mathematics 2026-04-08 María Anguiano , Igor Pažanin , Francisco J. Suárez-Grau

Fluid-structure interaction (FSI) and wave propagation in engineering structures can cause severe damage to piping systems or fluid machines, inducing serious accidents. In these phenomena, the mechanism of structural damage depends on the…

Fluid Dynamics · Physics 2020-11-11 Tomohisa Kojima , Kazuaki Inaba

With the Lattice Boltzmann method (using the BGK approximation) we investigate the dynamics of Hele-Shaw flow under conditions corresponding to various experimental systems. We discuss the onset of the instability (dispersion relation), the…

Statistical Mechanics · Physics 2009-11-07 Patrick Grosfils , Jean Pierre Boon

The turbulent/non-turbulent interface is analysed in a direct numerical simulation of a boundary layer in the range $Re_\theta=2800-6600$, with emphasis on the behaviour of the relatively large-scale fractal intermittent region. This…

Fluid Dynamics · Physics 2017-10-23 Guillem Borrell , Javier Jiménez

In many applications free surface flow through rigid porous media has to be modeled. Examples refer to coastal engineering applications as well as geotechnical or biomedical applications. Albeit the frequent applications, slight…

Fluid Dynamics · Physics 2021-06-28 Wibke Düsterhöft-Wriggers , Antonia Larese , Thomas Rung , Eugenio Oñate

Liquid wetting of a surface is omnipresent in nature and the advance of micro-fabrication and assembly techniques in recent years offers increasing ability to control this phenomenon. Here, we identify how surface roughness influences the…

In the present paper, experimental and numerical studies of interaction between different liquid droplets with different hot metal surfaces had been carried out and the obtained results were interpreted using graphs and pictures. Droplet…

Fluid Dynamics · Physics 2022-08-23 Subhasish Guchhait , Pratim Kumar

When two solids are squeezed together they will in general not make atomic contact everywhere within the nominal (or apparent) contact area. This fact has huge practical implications and must be considered in many technological…

Soft Condensed Matter · Physics 2007-07-12 Bo N. J. Persson

We study the transient dynamics of a viscous liquid contained in a narrow gap between a rigid surface and a parallel elastic plate. The elastic plate is deformed due to an externally applied time-varying pressure-field. We model the…

Fluid Dynamics · Physics 2017-05-16 Arie Tulchinsky , Amir D. Gat

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

Amorphous glassy materials of diverse nature -- concentrated emulsions, granular materials, pastes, molecular glasses -- display complex flow properties, intermediate between solid and liquid, which are at the root of their use in many…

Materials Science · Physics 2008-07-04 J. Goyon , A. Colin , G. Ovarlez , A. Ajdari , L. Bocquet

The description of elastic, nonadhesive contacts between solids with self-affine surface roughness seems to necessitate knowledge of a large number of parameters. However, few parameters suffice to determine many important interfacial…

Soft Condensed Matter · Physics 2013-12-09 Nikolay Prodanov , Wolf B. Dapp , Martin H. Müser

In this fluid dynamics video, we study a two-phase flow in an elastic Hele-Shaw cell that involves two distinct fluid- and solid-based instabilities: viscous fingering and sheet buckling. We show that the relative importance of the two…

Fluid Dynamics · Physics 2013-10-14 Draga Pihler-Puzović , Anne Juel , Matthias Heil

We study the adhesive contact between elastic solids with randomly rough, self affine fractal surfaces. We present molecular dynamics (MD) simulation results for the interfacial stress distribution and the wall-wall separation. We compare…

Soft Condensed Matter · Physics 2009-11-13 C. Yang , B. N. J. Persson , J. Israelachvili , K. Rosenberg

We present experimental evidence of global viscoelastic flow transitions in 2:1, 8:1 and 32:1 planar contractions under inertia-less conditions. Light sheet visualization and laser Doppler velocimetry techniques are used to probe spatial…

Soft Condensed Matter · Physics 2011-02-10 Lars Geneiser , Arvind Gopinath , Robert Armstrong , Robert Brown

We study microlocally the transmission problem at the interface between an isotropic linear elastic solid and a linear inviscid fluid. We set up a system of evolution equations describing the particle displacement and velocity in the solid,…

Analysis of PDEs · Mathematics 2021-11-08 Nikolas Eptaminitakis , Plamen Stefanov