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The motion of three-phase contact lines is one of the most relevant research topics of micro- and nano-fluidics. According to many hydrodynamic and molecular models, the dynamics of contact lines is assumed overdamped and dominated by…

Fluid Dynamics · Physics 2022-09-29 Michele Pellegrino , Berk Hess

In this paper, we propose an alternative approach to implement the contact angle boundary condition on immersed surfaces for phase-field simulations of two-phase flows using the Cahn-Hilliard equation on a Cartesian mesh. This simple and…

Computational Physics · Physics 2016-10-25 Jun-Jie Huang , Jie Wu

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show, using a formal asymptotic expansion of the solution, that its asymptotic behavior, when the distance between the two surfaces tends to…

Analysis of PDEs · Mathematics 2023-08-01 José M. Rodríguez , Raquel Taboada-Vázquez

The paper presents numerical methods for unsteady flows of a viscous incompressible fluid in internal domains with many inlet/outlet sections. The novel variants of dissipative boundary conditions augmented by the inertia terms are used at…

Computational Physics · Physics 2019-12-10 Jacek Szumbarski

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

Fluid Dynamics · Physics 2014-08-11 Jun-De Li

In this paper, we propose an improved phase field model for interface capturing in simulating two-phase incompressible flows. The model incorporates a second-order diffusion term, which utilizes a nonlinear coefficient to assess the degree…

Fluid Dynamics · Physics 2025-01-20 Jing-Wei Chen , Chun-Yu Zhang , Hao-Ran Liu , Hang Ding

It is well known that in the computational fluid dynamics simulations related to the cardiovascular system the enforcement of outflow boundary conditions is a crucial point. In fact, they highly affect the computed flow and a wrong setup…

Fluid Dynamics · Physics 2025-03-05 Zahra Mirzaiyan , Michele Girfoglio , Gianluigi Rozza

We present a multiparticle collision dynamics (MPC) implementation of layered immiscible fluids $A$ and $B$ of different shear viscosities separated by planar interfaces. The simulated flow profile for imposed steady shear motion and the…

Soft Condensed Matter · Physics 2021-09-07 Zihan Tan , Vania Calandrini , Jan K. G. Dhont , Gerhard Nägele , Roland G. Winkler

Molecular dynamics (MD) simulations have been carried out to investigate the slip of fluid in the lid driven cavity flow where the no-slip boundary condition causes unphysical stress divergence. The MD results not only show the existence of…

Fluid Dynamics · Physics 2007-05-23 Tiezheng Qian , Xiao-Ping Wang

The present paper considers the flow of micropolar fluid through a membrane modeled as a swarm of solid cylindrical particles with porous layer using the cell model technique. Traditional boundary conditions on hypothetical cell surface…

Fluid Dynamics · Physics 2019-03-21 D. Yu. Khanukaeva , A. N. Filippov , P. K. Yadav , A. Tiwari

The boundary conditions prescribing the constant traction or the so-called do-nothing conditions are frequently taken on artificial boundaries in the numerical simulations of steady flow of incompressible fluids, despite the fact that they…

Fluid Dynamics · Physics 2020-02-25 M. Lanzendörfer , J. Hron

This paper investigates a variational approach to viscous flows with contact line dynamics based on energy-dissipation modeling. The corresponding model is reduced to a thin-film equation and its variational structure is also constructed…

Fluid Dynamics · Physics 2018-11-21 Dirk Peschka

Capillary phenomena are involved in many industrial processes, especially those dealing with composite manufacturing. However, their modelling is still challenging. Therefore, a finite element setting is proposed to better investigate this…

Fluid Dynamics · Physics 2017-11-28 Julien Bruchon , Yujie Liu , Nicolas Moulin

We use a lattice Boltzmann algorithm for liquid-gas coexistence to investigate the steady state interface profile of a droplet held between two shearing walls. The algorithm solves the hydrodynamic equations of motion for the system.…

Soft Condensed Matter · Physics 2009-11-07 A. J. Briant , P. Papatzacos , J. M. Yeomans

Wetting is a widespread phenomenon, most prominent in a number of cases, both in nature and technology. Droplets of pure water with initial radius ranging from 20 to 80 [\AA] spreading on graphitic surfaces are studied by molecular dynamics…

Chemical Physics · Physics 2012-08-28 Danilo Sergi , Giulio Scocchi , Alberto Ortona

The dynamic behavior of the slip length in a fluid flow confined between atomically smooth surfaces is investigated using molecular dynamics simulations. At weak wall-fluid interactions, the slip length increases nonlinearly with the shear…

Soft Condensed Matter · Physics 2007-10-14 Nikolai V. Priezjev

The friction and adhesion between elastic bodies are strongly influenced by the roughness of the surfaces in contact. Here we develop a multiscale molecular dynamics approach to contact mechanics, which can be used also when the surfaces…

Soft Condensed Matter · Physics 2007-05-23 C. Yang , U. Tartaglino , B. N. J. Persson

We present a mesoscale kinetic model for multicomponent flows, augmented with a short range forcing term, aimed at describing the combined effect of surface tension and near-contact interactions operating at the fluid interface level. Such…

Fluid Dynamics · Physics 2020-06-25 Andrea Montessori , Marco Lauricella , Nicola Tirelli , Sauro Succi

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

We model a slip boundary condition at fluid-solid interface of an arbitrary geometry in smoothed particle hydrodynamics and smoothed dissipative particle dynamics simulations. Under an assumption of linear profile of the tangential velocity…

Fluid Dynamics · Physics 2023-03-14 Xinwei Cai , Zhen Li , Xin Bian