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Related papers: Continuum Model for Nanoscale Multiphase Flows

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This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a rigid plane and with an upper boundary given by a free surface. The fluid is subject to a constant external force with a horizontal component, which…

Analysis of PDEs · Mathematics 2018-03-14 Ian Tice

We study a nonlocal variant of a thermodynamically consistent phase field model for binary mixtures of micropolar fluids, i.e., fluids exhibiting internal rotations. The model is described by a Navier--Stokes--Cahn--Hilliard system that…

Analysis of PDEs · Mathematics 2025-12-15 Kin Shing Chan , Kei Fong Lam

We propose a thermodynamically consistent phase-field model for the flow of a mixture of two different viscous incompressible fluids of equal density in a bounded domain. We prove the well-posedness of local-in-time strong solutions by…

Analysis of PDEs · Mathematics 2025-11-18 Helmut Abels , Alice Marveggio , Andrea Poiatti

We present a two-phase field model and a hybrid particle-phase field model to simulate dilute colloidal sedimentation and flotation near a liquid-gas interface (or fluid-fluid interface in general). Both models are coupled to the…

Soft Condensed Matter · Physics 2024-10-01 Alexandra J. Hardy , Abdallah Daddi-Moussa-Ider , Elsen Tjhung

We explore a computational model of an incompressible fluid with a multi-phase field in three-dimensional Euclidean space. By investigating an incompressible fluid with a two-phase field geometrically, we reformulate the expression of the…

Numerical Analysis · Computer Science 2011-08-04 Shigeki Matsutani , Kota Nakano , Katsuhiko Shinjo

Thermal fluctuations cause perturbations of fluid-fluid interfaces and highly nonlinear hydrodynamics in multiphase flows. In this work, we develop a novel multiphase smoothed dissipative particle dynamics model. This model accounts for…

Surface tension and wetting are dominating physical effects in micro and nanoscale flows. We present an efficient and reliable model of surface tension and equilibrium contact angles in Smoothed Particle Hydrodynamics for free-surface…

Fluid Dynamics · Physics 2024-05-22 Michael Blank , Prapanch Nair , Thorsten Pöschel

In this paper, we present a unified nonequilibrium model of continuum mechanics for compressible multiphase flows. The model, which is formulated within the framework of Symmetric Hyperbolic Thermodynamically Compatible (SHTC) equations,…

Numerical Analysis · Mathematics 2024-04-02 Davide Ferrari , Ilya Peshkov , Evgeniy Romenski , Michael Dumbser

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model immiscible binary mixtures. Excluded volume interactions between the two components are modeled by stochastic multiparticle…

Soft Condensed Matter · Physics 2015-05-13 Erkan Tuzel , Guoai Pan , Thomas Ihle , Daniel M. Kroll

We consider two-phase Navier--Stokes flow with a Boussinesq--Scriven surface fluid. In such a fluid the rheological behaviour at the interface includes surface viscosity effects, in addition to the classical surface tension effects. We…

Numerical Analysis · Mathematics 2015-11-11 John W. Barrett , Harald Garcke , Robert Nürnberg

We develop and fully characterize a meshfree Lagrangian (particle) model for continuum-based numerical modeling of dry and submerged granular flows. The multiphase system of the granular material and the ambient fluid is treated as a…

Soft Condensed Matter · Physics 2017-11-02 Ehsan Jafari-Nodoushan , Ahmad Shakibaeinia , Khosrow Hosseini

The present paper proposes a two-phase flow model that is able to account for two-scale kinematics and two-scale surface tension effects based on geometric variables at small scale. At large scale, the flow and the full geometry of the…

Fluid Dynamics · Physics 2019-11-01 Pierre Cordesse , Samuel Kokh , Ruben Di Battista , Florence Drui , Marc Massot

This is a summary of the article with the same title, accepted for publication in Advances in Chemical Engineering, 47: 193-277 (2015). Gas-solid fluidization is a typical nonlinear nonequilibrium system with multiscale structure. In…

Fluid Dynamics · Physics 2015-12-15 Wei Wang , Yanpei Chen

The preferential formation of one solid over the other, as it precipitates out from the melt at specific temperatures, is often explained by invoking a competition between thermodynamic and kinetic control. A quantitative theory, however,…

Statistical Mechanics · Physics 2018-09-10 Puja Banerjee , Biman Bagchi

In this paper, we consider a class of models for multiphase fluids, in the framework of mixture theory. The considered system, in its more general form, contains both the gradient of a hydrostatic pressure, generated by an incompressibility…

Analysis of PDEs · Mathematics 2016-10-14 Roberta Bianchini , Roberto Natalini

We study a thermodynamically consistent phase field model for binary mixtures of micropolar fluids, i.e., fluids exhibiting internal rotations. Furnishing with classical no-slip, no-spin and no-flux boundary conditions, in a smooth and…

Analysis of PDEs · Mathematics 2025-05-30 Kin Shing Chan , Kei Fong Lam

In this paper we present a finite element method (FEM) for two-phase incompressible flows with moving contact lines. We use a sharp interface Navier-Stokes model for the bulk phase fluid dynamics. Surface tension forces, including Marangoni…

Fluid Dynamics · Physics 2015-10-13 A. Reusken , X. Xu , L. Zhang

We develop a lattice Boltzmann equation method for simulating multi-phase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen {\em et al} for two-component immiscible fluids. The…

comp-gas · Physics 2009-10-22 Daryl Grunau , Shiyi Chen , Kenneth Egger

Simulations of wetting phenomena by a meshfree particle method are presented. The incompressible Navier-Stokes equations are used to model the two-phase flow. The continuous surface force model is used to incorporate the surface tension…

Numerical Analysis · Mathematics 2014-06-19 Sudarshan Tiwari , Axel Klar , Steffen Hardt

We introduce a new phase field model for binary mixtures of incompressible micropolar fluids, which are among the simplest categories of fluids exhibiting internal rotations. The model fulfils local and global dissipation inequalities so…

Analysis of PDEs · Mathematics 2025-05-01 Kin Shing Chan , Baoli Hao , Kei Fong Lam , Björn Stinner