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Flows of granular media down a rough inclined plane demonstrate a number of nonlocal phenomena. We apply the recently proposed nonlocal granular fluidity model to this geometry and find that the model captures many of these effects.…

Soft Condensed Matter · Physics 2014-08-25 Ken Kamrin , David Henann

The molecular structure of moving contact lines (MCLs) and the emergence of a corresponding macroscopic dissipation have made the MCL a paradigm of fluid dynamics. Through novel averaging techniques that remove capillary waves smearing we…

Soft Condensed Matter · Physics 2022-11-02 Amal K. Giri , Paolo Malgaretti , Dirk Peschka , Marcello Sega

Molecular dynamics (MD) and continuum simulations are carried out to investigate the influence of shear rate and surface roughness on slip flow of a Newtonian fluid. For weak wall-fluid interaction energy, the nonlinear shear-rate…

Soft Condensed Matter · Physics 2010-01-25 Anoosheh Niavarani , Nikolai V. Priezjev

Droplet motion over a surface with wettability gradient has been simulated using molecular dynamics (MD) simulation to highlight the underlying physics. GROMACS and Visual Molecular Dynamics (VMD) were used for simulation and intermittent…

Fluid Dynamics · Physics 2015-04-13 Monojit Chakraborty , Anamika Chowdhury , Richa Bhusan , Sunando DasGupta

In this paper, we investigate numerically a diffuse interface model for the Navier-Stokes equation with fluid-fluid interface when the fluids have different densities \cite{Lowengrub1998}. Under minor reformulation of the system, we show…

Mathematical Physics · Physics 2015-06-18 Zhenlin Guo , Ping Lin , John S. Lowengrub

We study spreading of a droplet, with insoluble surfactant covering its capillary surface, on a textured substrate. In this process, the surfactant-dependent surface tension dominates the behaviors of the whole dynamics, particularly the…

Fluid Dynamics · Physics 2022-11-08 Yuan Gao , Jian-Guo Liu

In this work, we extend the model of contact angles that we have previously developed for sessile drops on a wetted surface to the case of a meniscus in a capillary. The underlying physics of our model describe the intermolecular forces…

Fluid Dynamics · Physics 2023-12-20 Leonid Pekker , David Pekker , James Myrick

Using the observation that slip in simple fluids at low and moderate shear rates is a thermally activated process driven by the shear stress in the fluid close to the solid boundary, we develop a molecular-kinetic model for simple fluid…

Fluid Dynamics · Physics 2019-07-03 Gerald J. Wang , Nicolas G. Hadjiconstantinou

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

The friction of a nanosized sphere in commensurate contact with a flat substrate is investigated by performing molecular dynamics simulations. Particular focus is on the distribution of shear stress within the contact region. It is noticed…

Materials Science · Physics 2020-09-28 Jian Wang , Weike Yuan , Jianjun Bian , Gangfeng Wang

We use molecular dynamics simulations to study the evaporation of particle-laden droplets on a heated surface. The droplets are composed of a Lennard-Jones fluid containing rigid particles which are spherical sections of an atomic lattice,…

Soft Condensed Matter · Physics 2015-06-04 Weikang Chen , Joel Koplik , Ilona Kretzschmar

A solid-liquid-gas moving contact line is considered through a diffuse-interface model with the classical boundary condition of no-slip at the solid surface. Examination of the asymptotic behaviour as the contact line is approached shows…

Fluid Dynamics · Physics 2013-10-07 David N. Sibley , Andreas Nold , Nikos Savva , Serafim Kalliadasis

Fluid phase equilibria involving nano-dispersed phases, where at least one of the coexisting phases is confined to a small volume, are investigated by molecular dynamics simulation. Complementing previous studies on nanoscopic droplets,…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Martin Horsch , Hans Hasse

Test area deformations are used to analyse vapour-liquid interfaces of Lennard-Jones particles by molecular dynamics simulation. For planar vapour-liquid interfaces the change in free energy is captured by the average of the corresponding…

Soft Condensed Matter · Physics 2012-11-12 Jose G. Sampayo , Alexandr Malijevsky , Erich A. Muller , E. de Miguel , G. Jackson

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a flat and a spherical rough and textured substrate is theoretically studied in the capillary-controlled spreading regime. A droplet whose scale is much…

Soft Condensed Matter · Physics 2017-11-22 Masao Iwamatsu

Turbulence is a non-local phenomenon and has multiple-scales. Non-locality can be addressed either implicitly or explicitly. Implicitly, by subsequent resolution of all spatio-temporal scales. However, if directly solved for the temporal or…

Fluid Dynamics · Physics 2025-01-28 Pavan Pranjivan Mehta

We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid. A new feature of this work is the implementation of the local inextensibility condition in the diffuse interface context. Local…

Mathematical Physics · Physics 2015-06-18 Sebastian Aland , Sabine Egerer , John Lowengrub , Axel Voigt

The entropy conservative, curvilinear, nonconforming, p-refinement algorithm for hyperbolic conservation laws of Del Rey Fernandez et al. (2019), is extended from the compressible Euler equations to the compressible Navier-Stokes equations.…

The linear Navier-Stokes-Fourier (NSF) constitutive relations are capable of simulating the near-continuum flows, but fail in description of those flows which are removed far away from local equilibrium. In this paper, a diatomic nonlinear…

Fluid Dynamics · Physics 2018-02-22 Zhongzheng Jiang , Weifang Chen , Wenwen Zhao , R. S. Myong

We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free…

Analysis of PDEs · Mathematics 2026-03-31 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha