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In this paper the motion of two-phase, incompressible, viscous fluids with surface tension is investigated. Three cases are considered: (1) the case of heat-conducting fluids, (2) the case of isothermal fluids, and (3) the case of Stokes…

Analysis of PDEs · Mathematics 2016-12-19 Gieri Simonett , Mathias Wilke

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

A thin liquid film covered with an insoluble surfactant in the vicinity of a first-order phase transition is discussed. Within the lubrication approximation we derive two coupled equations to describe the height profile of the film and the…

Pattern Formation and Solitons · Physics 2009-07-15 M. H. Köpf , S. V. Gurevich , R. Friedrich

Vapor-liquid menisci of the truncated and shifted Lennard-Jones fluid between parallel planar walls are investigated by molecular dynamics simulation. Thereby, the characteristic energy of the unlike dispersive interaction between fluid…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Martin Horsch , Martina Heitzig , Calin Dan , Jens Harting , Hans Hasse , Jadran Vrabec

Exact solutions of a classical problem of a plane unsteady potential flow of an ideal incompressible fluid with a free boundary are presented. The fluid occupies a semi-infinite strip bounded by the free surface (from above) and (from the…

Fluid Dynamics · Physics 2021-08-13 Evgenii A. Karabut , Elena N. Zhuravleva , Nikolay M. Zubarev , Olga V. Zubareva

Using a density functional based interface displacement model we determine the effective interaction potential between two spherical particles which are immersed in a homogeneous fluid such as the vapor phase of a one-component substance or…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , T. Bieker , S. Dietrich

We introduce a mean-field model for the potential energy landscape of a thin fluid film confined between parallel substrates. The model predicts how the number of accessible basins on the energy landscape and, consequently, the film's ideal…

Condensed Matter · Physics 2009-11-10 Thomas M. Truskett , Venkat Ganesan

We study the time dependency of the (average) interfacial separation between an elastic solid with a flat surface and a rigid solid with a randomly rough surface, squeezed together in a fluid. We use an analytical theory describing the…

Soft Condensed Matter · Physics 2015-05-27 B. Lorenz , B. N. J. Persson

The highly confined flow of the liquid phase, trapped between the gas bubbles, is at the origin of the large effective viscosity of the liquid foams. Despite the industrial relevance of this complex fluid, the foam viscosity remains…

Soft Condensed Matter · Physics 2020-01-08 Adrien Bussonnière , Evgenia Shabalina , Xavier Ah-Thon , Mickaël Le Fur , Isabelle Cantat

We analyze two representative systems containing a three-phase-contact line: a liquid lens at a fluid--fluid interface and a liquid drop in contact with a gas phase residing on a solid substrate. We discuss to which extent the decomposition…

Soft Condensed Matter · Physics 2009-11-13 L. Schimmele , M. Napiorkowski , S. Dietrich

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

Numerical analysis of a shear layer between a cool liquid n-decane hydrocarbon and a hot oxygen gas at supercritical pressures shows that a well-defined phase equilibrium can be established. Variable properties are considered with the…

Fluid Dynamics · Physics 2020-06-04 Branson Davis , Jordi Poblador-Ibanez , William A. Sirignano

A new theory on gas-liquid phase transition is given. The new idea is that the total intermolecular potential energy for a classical system in equilibrium is relative with the average distance of molecules. A new space homogeneity…

Statistical Mechanics · Physics 2007-05-23 Yuan-Xing Gui

We present a new approach to studies of bubble dynamics in fluids. Relying on particle-based simulations, this method is general and suitable for cases where the commonly used perfect fluid description fails. We study expanding true vacuum…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-14 Marek Lewicki , Ville Vaskonen , Hardi Veermäe

In this article we calculate the surface phase diagram of a two-dimensional hard-rod fluid confined between two hard lines. In a first stage we study the semi-infinite system consisting of an isotropic fluid in contact with a single hard…

Statistical Mechanics · Physics 2009-11-13 Yuri Martinez-Raton

We report a detailed simulation and classical density functional theory study of the drying transition in a realistic model fluid at a smooth substrate. This transition (in which the contact angle $\theta\to 180^\circ$) is shown to be…

Statistical Mechanics · Physics 2016-10-26 Robert Evans , Maria C. Stewart , Nigel B. Wilding

The bulk phase behavior of a fluid is typically altered when the fluid is brought into confinement by the walls of a random porous medium. Inside the porous medium, phase transition points are shifted, or may disappear altogether. A crucial…

Statistical Mechanics · Physics 2015-06-16 Giuseppe Pellicane , Richard L. C. Vink , Bruno Russo , Paolo V. Giaquinta

The phase diagram of a fluid confined between a planar and a conical walls modelling the atomic force microscope geometry displays transition between two phases, one with a liquid bridge connecting the two walls of the microscope, and the…

Soft Condensed Matter · Physics 2010-05-14 Filip Dutka , Marek Napiorkowski

When a drop of liquid comes into contact with a solid surface, it relaxes towards an equilibrium configuration, either wetting the surface or remaining in a droplet-like shape with a finite contact angle. The force driving the process…

Soft Condensed Matter · Physics 2025-11-27 Niklas Wolf , Nico van der Vegt

Strongly interacting, dynamically disordered and with no small parameter, liquids took a theoretical status between gases and solids. We review different approaches to liquids and propose that liquids do not need classifying in terms of…

Soft Condensed Matter · Physics 2016-01-13 K. Trachenko , V. V. Brazhkin