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A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

In this paper, we study the 1D steady Boltzmann flow in a channel. The walls of the channel are assumed to have vanishing velocity and given temperatures $\theta_0$ and $\theta_1$. This problem was studied by Esposito et al [13,14] where…

Analysis of PDEs · Mathematics 2023-06-02 Renjun Duan , Shuangqian Liu , Tong Yang , Zhu Zhang

In a one-component fluid, we investigate evaporation of a small axysymmetric liquid droplet in the partial wetting condition on a heated wall at $T\sim 0.9 T_c$. In the dynamic van der Waals theory (Phys. Rev. E {\bf 75}, 036304 (2007)), we…

Soft Condensed Matter · Physics 2009-11-13 Ryohei Teshigawara , Akira Onuki

Fundamental properties of the multicomponent diffuse-interface model (DIM), such as the maximum entropy principle and conservation laws, are used to explore the basic interfacial dynamics and phase transitions in fluids. Flat interfaces…

Fluid Dynamics · Physics 2023-05-02 E. S. Benilov

Interfaces involving coexisting phases in condensed matter are essential in various examples of soft matter phenomena such as wetting, nucleation, morphology, phase separation kinetics, membranes, phase coexistence in nanomaterials, etc.…

Statistical Mechanics · Physics 2014-10-08 E. Mayoral , A. Gama Goicochea

Various parameters affect the foam stability: surface and bulk rheology of the solution, gravitational drainage, mechanical vibrations, bubble gas composition, and also evaporation. Evaporation is often considered through the prism of a…

Soft Condensed Matter · Physics 2023-09-20 François Boulogne , Emmanuelle Rio , Frédéric Restagno

Boundary conditions for the solid-liquid interface of the solidifying pure melt have been derived. In the derivation the model of Gibbs interface is used. The boundary conditions include both the state quantities of bulk phases are taken at…

Materials Science · Physics 2016-11-02 Gennady Buchbinder , Peter Galenko

It has been hypothesized that liquid polyamorphism, the existence of multiple amorphous states in a single component substance, may be caused by molecular or supramolecular interconversion. A simple microscopic model [Caupin and Anisimov,…

Soft Condensed Matter · Physics 2023-09-19 Thomas J. Longo , Sergey V. Buldyrev , Mikhail A. Anisimov , Frédéric Caupin

We present a numerical method for interface-resolved simulations of evaporating two-fluid flows based on the volume-of-fluid (VoF) method. The method has been implemented in an efficient FFT-based two-fluid Navier-Stokes solver, using an…

Computational Physics · Physics 2020-01-24 Nicolò Scapin , Pedro Costa , Luca Brandt

The ghost fluid method allows a propagating interface to remain sharp during a numerical simulation. The solution of the Riemann problem at the interface provides proper information to determine interfacial fluxes as well as the velocity of…

Fluid Dynamics · Physics 2023-05-18 Steven Jöns , Christoph Müller , Johanna Hintz , Andrea Beck , Claus-Dieter Munz

The mixed convection flow in a plane channel with adiabatic boundaries is examined. The boundaries have an externally prescribed relative velocity defining a Couette-like setup for the flow. A stationary flow regime is maintained with a…

Fluid Dynamics · Physics 2023-10-04 A. Barletta , M. Celli , S. Lazzari , P. V. Brandão

When an evaporating water droplet is deposited on a thermally conductive substrate, the minimum temperature will be at the apex due to evaporative cooling. Consequently, density and surface tension gradients emerge within the droplet and at…

The heat capacity of supercooled water, measured down to -37 {\deg}C, shows an anomalous increase as temperature decreases. The thermal diffusivity, i. e., the ratio of the thermal conductivity and the heat capacity per unit volume, shows a…

Statistical Mechanics · Physics 2014-08-22 John W. Biddle , Vincent Holten , Jan V. Sengers , Mikhail A. Anisimov

The possibility that the type of discontinuous flow changes as the conditions gradually (continuously) change is investigated in connection with the problems arising when the results of numerical simulations of magnetic reconnection in…

Plasma Physics · Physics 2013-12-13 L. S. Ledentsov , B. V. Somov

We investigate the liquid-vapor interface of the restricted primitive model (RPM) for an ionic fluid using a density-functional approximation based on correlation functions of the homogeneous fluid as obtained from the mean-spherical…

Condensed Matter · Physics 2009-10-30 B. Groh , R. Evans , S. Dietrich

We experimentally study the viscous fingering instability in a fluid-fluid phase separated colloid-polymer mixture by means of laser scanning confocal microscopy and microfluidics. We focus on three aspects of the instability. (i) The…

This paper proposes a diffuse-interface model for simulating gas-liquid-solid multiphase flows involving solid-liquid phase change, solute transport, and the Marangoni effect. In this model, a phase-field method is employed to capture the…

Fluid Dynamics · Physics 2025-11-13 Jiangxu Huang , Zhenhua Chai , Xi Liu , Changsheng Huang

The turbulent flow of a fluid carrying trace amounts of a condensable species through a differentially cooled vertical channel geometry is simulated using single-phase direct numerical simulations. The release of latent heat during…

Fluid Dynamics · Physics 2020-01-28 Philipp Bahavar , Claus Wagner

The liquid-vapour phase transition near a weakly attractive surface is studied by simulations of the coexistence curves of water in hydrophobic pores. There is a pronounced gradual density depletion of the liquid phase near the surface…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

We define the dielectric constant (susceptibility) that should enter the Maxwell boundary value problem when applied to microscopic dielectric interfaces. The dielectric constant (susceptibility) of the interface is defined by exact…

Soft Condensed Matter · Physics 2016-08-03 Mohammadhasan Dinpajooh , Dmitry V. Matyushov