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The matching conditions at the interface between two non-mixed fluids at rest are obtained directly using the equation of movement of the whole media. This is a non-usual point of view in hydrodynamics courses and our aim is to fix ideas…

Physics Education · Physics 2007-05-23 Arezky H. Rodriguez , J. Marin-Antuna , H. Rodriguez-Coppola

A small drop of a heavier fluid may float on the surface of a lighter fluid supported by surface tension forces. In equilibrium, the drop assumes a radially symmetric shape with a circular triple-phase contact line. We show theoretically…

Fluid Dynamics · Physics 2021-07-27 Andrey Pototsky , Alexander Oron , Michael Bestehorn

We study theoretically the velocity cross-correlations of a viscous fluid confined in a slit between two viscoelastic media. We analyze the effect of these correlations on the motions of particles suspended in the fluid. The compliance of…

Soft Condensed Matter · Physics 2017-09-14 Chen Bar-Haim , Haim Diamant

We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy's Law. At the triple point where air and liquid meet the solid substrate, the…

Analysis of PDEs · Mathematics 2012-04-12 Hans Knüpfer , Nader Masmoudi

We present a generally covariant formulation of conformal higher-order viscoelastic fluid mechanics with strain allowed to take arbitrarily large values. We give a general prescription to determine the dynamics of a relativistic…

High Energy Physics - Theory · Physics 2012-06-27 Masafumi Fukuma , Yuho Sakatani

We calculate the ion distributions around an interface in fluid mixtures of highly polar and less polar fluids (water and oil) for two and three ion species. We take into account the solvation and image interactions between ions and…

Soft Condensed Matter · Physics 2009-11-13 Akira Onuki

In an effort to study the stability of contact lines in fluids, we consider the dynamics of an incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2017-10-25 Yan Guo , Ian Tice

In the given paper, we confront three finite difference approximations to the Navier--Stokes equations for the two-dimensional viscous incomressible fluid flows. Two of these approximations were generated by the computer algebra assisted…

Numerical Analysis · Mathematics 2015-08-28 P. Amodio , Yu. Blinkov , V. Gerdt , R. La Scala

The correlation between the elliptic flow $v_2$ scaled by the impact parameter $b$ and the shear viscosity $\eta$ as well as the specific viscosity $\eta/s$, defined as the ratio of the shear viscosity to the entropy density $s$, is…

Nuclear Theory · Physics 2014-11-21 C. L. Zhou , Y. G. Ma , D. Q. Fang , G. Q. Zhang , J. Xu , X. G. Cao , W. Q. Shen

Deep in the Earth's crust, pressure exceeds one thousand times the atmospheric pressure. Water still flows under these conditions, but experiences dramatic changes in structure and fluidity. Using combined dynamic and inelastic light…

Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density $\rho_{0}$…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

Gravity-driven convection of fluid at parameters near its thermodynamic critical point inside a porous layer heated from below (Rayleigh-Darcy convection) is studied. The fluid having the temperature slightly above the critical one is…

Fluid Dynamics · Physics 2010-01-26 E. B. Soboleva

A novel mechanical approach is developed to explore by means of atom-scale simulation the concept of line tension at a solid-liquid-vapor contact line as well as its dependence on temperature, confinement, and solid/fluid interactions. More…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Romain Bey , Benoit Coasne , Cyril Picard

The influence of different types of disorder (both uncorrelated and correlated) on the superfluid properties of a weakly interacting or dilute Bose gas, as well as on the corresponding quantities for flux line liquids in high-temperature…

Superconductivity · Physics 2009-10-28 Uwe C. Täuber , David R. Nelson

We present a theory for the kinetics of surfactant adsorption at the interface between an aqueous solution and another fluid (air, oil) phase. The model relies on a free-energy formulation. It describes both the diffusive transport of…

Condensed Matter · Physics 2007-05-23 H. Diamant , D. Andelman

We report shear viscosity of heavy water supercooled $33\,\mathrm{K}$ below its melting point, revealing a 15-fold increase compared to room temperature. We also confirm our previous data for the viscosity of supercooled light water, and…

Chemical Physics · Physics 2023-09-19 Pierre Ragueneau , Frédéric Caupin , Bruno Issenmann

The modeling of surface pressure wave number spectra beneath a turbulent boundary layer is reviewed and reconsidered in terms of the vorticity in the flow. Using a solution based on the vorticity equation and Squires theorem, which was…

Fluid Dynamics · Physics 2022-08-11 Stewart Glegg , Siddhartha Verma , Lyubov Denissova

The partial coalescence of a droplet onto a planar liquid/liquid interface is investigated experimentally by tuning the viscosities of both liquids. The problem mainly depends on four dimensionless parameters: the Bond number (gravity vs.…

Fluid Dynamics · Physics 2009-05-16 T. Gilet , K. Mulleners , J. P. Lecomte , N. Vandewalle , S. Dorbolo

Viewed as one of the grandest questions in modern science, understanding fundamental physical constants has been discussed in high-energy particle physics, astronomy and cosmology. Here, I review how condensed matter and liquid physics…

Biological Physics · Physics 2023-10-11 K Trachenko

It is shown how a complete set of hydrodynamic equations describing an unsteady three-dimensional viscous flow nearby a solid body, can be reduced to a closed system of surface equations using the method of dimension reduction of…

Fluid Dynamics · Physics 2014-08-04 Maxim Zaytsev , Vyacheslav Akkerman
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