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The temperature dependence of the hydrodynamic boundary condition between a PDMS melt and two different non-attractive surfaces made of either an OTS (octadecyltrichlorosilane) self-assembled monolayer (SAM) or a grafted layer of short PDMS…

We study well-posedness and asymptotic dynamics of a coupled system consisting of linearized 3D Navier--Stokes equations in a bounded domain and a classical (nonlinear) full von Karman shallow shell equations that accounts for both…

Analysis of PDEs · Mathematics 2011-12-30 Igor Chueshov , Iryna Ryzhkova

We consider the response of an adsorbed polymer that is pulled by an AFM within a simple geometric framework. We separately consider the cases of i) fixed polymer-surface contact point, ii) sticky case where the polymer is peeled off from…

Soft Condensed Matter · Physics 2009-11-11 Andreas Serr , Roland R. Netz

We investigate the dynamics of pressure driven transient flows of incompressible Newtonian fluids through circular microtubes having thin elastic walls under the long-wavelength and small deformation assumptions, which are valid for many…

Fluid Dynamics · Physics 2012-12-04 Omer San , Anne E. Staples

When a liquid droplet is located above a super-hydrophobic surface, it only barely touches the solid portion of the surface, and therefore slides very easily on it. More generally, super-hydrophobic surfaces have been shown to lead to…

Fluid Dynamics · Physics 2010-04-09 Anthony M. J. Davis , Eric Lauga

We experimentally study the jamming of quasi-two-dimensional emulsions. Our experiments consist of oil-in-water emulsion droplets confined between two parallel plates. From the droplet outlines, we can determine the forces between every…

Soft Condensed Matter · Physics 2013-02-28 Kenneth W. Desmond , Pearl J. Young , Dandan Chen , Eric R. Weeks

Interfacial hydrodynamic slippage of water depends on both on surface chemistry and roughness. This study tries to connect the effect of chemical property and the physical structure of the surface on the interfacial slippage of water. By…

Fluid Dynamics · Physics 2016-05-10 Chinmay Anand Misra , Chirodeep Bakli

A macroscopically nominal flat surface is rough at the nanoscale level and consists of nanoasperities. Therefore, the frictional properties of the macroscale-level rough surface are determined by the mechanical behaviors of nanoasperity…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 jianqiao Hu , Hengxu Song , Stefan Sandfeld , Xiaoming Liu , Yueguang Wei

A fluid droplet located on a super-hydrophobic surface makes contact with the surface only at small isolated regions, and is mostly in contact with the surrounding air. As a result, a fluid in motion near such a surface experiences very low…

Fluid Dynamics · Physics 2011-08-30 Anthony M. J. Davis , Eric Lauga

Using molecular dynamics (MD) we study the dependency of the contact mechanics on the sliding speed when an elastic block (cylinder) with a ${\rm cos} (q_0 x)$ surface height profile is sliding in adhesive contact on a rigid flat…

Soft Condensed Matter · Physics 2020-10-21 J. Wang , A. Tiwari , I. M. Sivebaek , B. N. J. Persson

We consider the spreading of a thin two-dimensional droplet on a planar substrate as a prototype system to compare the contemporary model for contact line motion based on interface formation of Shikhmurzaev [Int. J. Multiphas. Flow 19, 589…

Fluid Dynamics · Physics 2012-08-17 David N. Sibley , Nikos Savva , Serafim Kalliadasis

Traditional laws of friction believe that the friction coefficient of two specific solids takes constant value. However, molecular simulations revealed that the friction coefficient of nanosized asperity depends strongly on contact size and…

Materials Science · Physics 2022-08-01 X. M. Liang , G. F. Wang

Hydrodynamic slippage plays a crucial role in the flow dynamics of thin polymer films, as recently shown by the analysis of the profiles of liquid fronts. For long-chained polymer films it was reported that a deviation from a symmetric…

Soft Condensed Matter · Physics 2009-07-14 O. Baeumchen , R. Fetzer , K. Jacobs

We consider directed semiflexible polymers embedded in a fluctuating surface which is governed by either surface tension or bending rigidity. The attractive interactions induced by the fluctuations of the surface reduce the rigidity of the…

Condensed Matter · Physics 2009-10-28 Ramin Golestanian

The Navier boundary condition for velocity slip on flat surfaces, when expressed in tensor form, is readily extended to surfaces of any shape. We test this assertion using molecular dynamics simulations of flow in channels with flat and…

Soft Condensed Matter · Physics 2015-06-17 Weikang Chen , Rui Zhang , Joel Koplik

The emergent fluctuating hydrodynamics of a viscoelastic fluid modeled by the multiparticle collision dynamics (MPC) approach is studied. The fluid is composed of flexible, Gaussian phantom polymers, which interact by local…

Soft Condensed Matter · Physics 2020-01-29 David Toneian , Gerhard Kahl , Gerhard Gompper , Roland G. Winkler

We prove local well-posedness for the Muskat problem on the half-plane, which models motion of an interface between two fluids of distinct densities (e.g., oil and water) in a porous medium (e.g., an aquifer) that sits atop an impermeable…

Analysis of PDEs · Mathematics 2024-10-17 Andrej Zlatos

d'Alembert's paradox is the contradictory observation that for incompressible and inviscid (potential) fluid flow, there is no drag force experienced by a body moving with constant velocity relative to the fluid. This paradox can be…

Fluid Dynamics · Physics 2022-04-27 Ingeborg G. Gjerde , L. Ridgway Scott

The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface, despite the assumption of the no-slip condition is preferred to avoid boundary terms in the analysis…

Analysis of PDEs · Mathematics 2020-09-22 Anna Abbatiello , Miroslav Bulíček , Erika Maringová

We study a nonlinear, moving boundary fluid-structure interaction problem between an incompressible, viscous Newtonian fluid, modeled by the 2D Navier-Stokes equations, and an elastic structure modeled by the shell or plate equations. The…

Analysis of PDEs · Mathematics 2016-03-07 Boris Muha , Suncica Canic
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