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We show that molecular dynamics simulations can furnish useful boundary conditions at a solid surface bounding a two-component fluid. In contrast to some previous reports, convective-diffusive flow is consistent with continuum equations…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Mark O. Robbins

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo

The structural organization of liquids near solid interfaces profoundly influences phenomena such as wettability, nanofluidic transport, and interfacial heat transfer. This study introduces the Interfacial Layering Oscillator Model (ILOM),…

Fluid Dynamics · Physics 2025-12-15 Chengzhen Sun , Yuntao Du , Tianyu Wu , Mehdi Neek-Amal

We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell. The fluid motion is governed by the Navier-Stokes equations, while the shell is modeled by…

Analysis of PDEs · Mathematics 2007-05-23 C. H. Arthur Cheng , Daniel Coutand , Steve Shkoller

We study squeeze flow of two different fluids (castor oil and ethylene glycol) between a pair of glass plates and a pair of perspex plates, under an applied load. The film thickness is found to vary with time as a power-law, where the…

Soft Condensed Matter · Physics 2015-05-13 Soma Nag , Suparna Dutta , Sujata Tarafdar

Non-equilibrium molecular dynamics (NEMD) simulations of fluid flow have highlighted the peculiarities of nanoscale flows compared to classical fluid mechanics; in particular, boundary conditions can deviate from the no-slip behavior at…

Soft Condensed Matter · Physics 2025-03-11 Giorgia Marcelli , Tecla Bottinelli Montandon , Roya Ebrahimi Viand , Felix Höfling

Water flow in plant tissues takes place in two different physical domains separated by semipermeable membranes: cell insides and cell walls. The assembly of all cell insides and cell walls are termed symplast and apoplast, respectively.…

Analysis of PDEs · Mathematics 2013-05-28 Andrés Chavarría-Krauser , Mariya Ptashnyk

Liquid drops slide more slowly over soft, deformable substrates than over rigid solids. This phenomenon can be attributed to the viscoelastic dissipation induced by the moving wetting ridge, which inhibits a rapid motion, and is called…

Biomolecular condensates form by phase separation of biological polymers and have important functions in the cell $-$ functions that are inherently connected to their physical properties. A remarkable aspect of such condensates is that…

The impact of a heavier droplet into a deep pool of lighter liquid is investigated using three-dimensional numerical simulations. Unprecedented to any numerical simulations, we demonstrate that the heavier droplets can hang from the surface…

Fluid Dynamics · Physics 2023-03-29 Piyush Singh , Anikesh Pal , Narinder Singh

Two superposed liquid layers display a variety of convective phenomena that are inaccessible in the traditional system where the upper layer is a gas. We consider several pairs of immiscible liquids. Once the liquids have been selected, the…

patt-sol · Physics 2009-10-31 Anne Juel , John M. Burgess , W. D. McCormick , J. B. Swift , Harry L. Swinney

Starting from a microscopic multiparticle Langevin equation, we systematically derive a hydrodynamic description in terms of density and momentum fields for chiral active particles interacting via standard repulsive and nonlocal odd forces.…

Soft Condensed Matter · Physics 2026-01-28 Umberto Marini Bettolo Marconi , Alessandro Petrini , Raphaël Maire , Lorenzo Caprini

The evolution of the interface separating a conduit of light, viscous fluid rising buoyantly through a heavy, more viscous, exterior fluid at small Reynolds numbers is governed by the interplay between nonlinearity and dispersion. Previous…

Fluid Dynamics · Physics 2015-06-16 Nicholas K. Lowman , Mark A. Hoefer

The nucleation and/or spreading of bubbles in water under tension (due to water evaporation) can be problematic for most plants along the ascending sap network from root to leaves, named xylem. Due to global warming, trees facing drought…

Fluid Dynamics · Physics 2025-11-17 François-Xavier Gauci , Ludovic Jami , Ludovic Keiser , Céline Cohen , Xavier Noblin

Classical density functional theory is applied to investigate the validity of a phenomenological force-balance description of the stability of the Cassie state of liquids on substrates with nanoscale corrugation. A bulk free-energy…

In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of…

Analysis of PDEs · Mathematics 2026-02-12 Sourav Mitra , Sebastian Schwarzacher

We present a quasi-two dimensional model of flowing soap films that bears striking similarity to the compressible Navier-Stokes equations. The variation in soap film thickness that is commonly used for flow visualization in experiments is…

Fluid Dynamics · Physics 2007-05-23 Petri Fast

We theoretically study the electrokinetic transport properties of nano-fluidic devices under the influence of a pressure, voltage or salinity gradient. On a microscopic level the behaviour of the device is quantified by the Onsager matrix…

Soft Condensed Matter · Physics 2019-12-02 B. L. Werkhoven , R. van Roij

In molecular dynamics simulations, nanochannel flows are usually driven by a constant force, that aims to represent a pressure difference between inlet and outlet, and periodic boundary conditions are applied in the streamwise direction…

Fluid Dynamics · Physics 2018-01-17 Vicente Bitrián , Javier Principe

Flow in thin films is highly dependent on the boundary conditions. Here, we study the capillary levelling of thin bilayer films composed of two immiscible liquids. Specifically, a stepped polymer layer is placed atop another, flat polymer…

Soft Condensed Matter · Physics 2021-01-27 Vincent Bertin , Carmen Lee , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress