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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

Shapes of colloids matter at liquid interfaces. We explore the interactions between rough-surfaced nanocolloids at the air--water interface through the compaction of monolayers experimentally and numerically. Sufficiently rough systems…

Soft Condensed Matter · Physics 2023-05-17 Airi N. Kato , Yujie Jiang , Wei Chen , Ryohei Seto , Tao Li

We have developed a theory of air leakage at interfaces between two elastic solids with application to suction cups in contact with randomly rough surfaces. We present an equation for the airflow in narrow constrictions which interpolate…

Soft Condensed Matter · Physics 2019-06-05 A. Tiwari , B. N. J. Persson

From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping…

Soft Condensed Matter · Physics 2009-11-07 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

We consider a Hartmann layer, stationary flow of a viscose and resistive fluid between two plates with superimposed transverse magnetic field, in the limit of gyrotropic plasma, when viscosity across the field is strongly suppressed. For…

Astrophysics · Physics 2009-11-13 Maxim Lyutikov

We investigate the flow of various non-Newtonian fluids through three-dimensional disordered porous media by direct numerical simulation of momentum transport and continuity equations. Remarkably, our results for power-law (PL) fluids…

Fluid Dynamics · Physics 2009-11-09 Apiano F. Morais , Hansjoerg Seybold , Hans J. Herrmann , José S. Andrade

Using a dynamic Surface Force Apparatus, we demonstrate that the notion of slip length used to describe the boundary flow of simple liquids, is not appropriate for viscoelastic liquids. Rather, the appropriate description lies in the…

Soft Condensed Matter · Physics 2018-06-20 Benjamin Cross , Chloé Barraud , Cyril Picard , Liliane Léger , Frédéric Restagno , Elisabeht Charlaix

In high energy heavy ion collisions and interacting cold atom systems, large elliptic flow anisotropies have been observed. For the large opacity ($\rho\sigma L\sim 10^{3}$) of the latter hydrodynamics is a natural consequence, but for the…

Nuclear Theory · Physics 2018-04-18 Yuliang Sun , Qingfeng Li , Fuqiang Wang

Pair distributions of fluids confined between two surfaces at close distance are of fundamental importance for a variety of physical, chemical, and biological phenomena, such as interactions between macromolecules in solution, surface…

Soft Condensed Matter · Physics 2013-11-01 Kim Nygård , Sten Sarman , Roland Kjellander

Nematic liquid crystals at rough and fluctuating interfaces are analyzed within the Frank elastic theory and the Landau-de Gennes theory. We study specifically interfaces that locally favor planar anchoring. In the first part we reconsider…

Soft Condensed Matter · Physics 2009-11-11 Jens Elgeti , Friederike Schmid

We present a study on connectivity percolation in suspensions of hard platelets by means of Monte Carlo simulation. We interpret our results using a contact-volume argument based on an effective single--particle cell model. It is commonly…

Soft Condensed Matter · Physics 2015-06-04 Maneesh Mathew , Tanja Schilling , Martin Oettel

The ``no-slip'' boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary…

Soft Condensed Matter · Physics 2007-05-23 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

We analyze the creeping flow generated by a spherical particle moving through a viscous fluid with nematic directional order, in which momentum diffusivity is anisotropic and which opposes resistance to bending. Specifically, we provide…

Fluid Dynamics · Physics 2013-09-11 Manuel Gómez-González , Juan C. del Álamo

We study the boundary conditions at a fluid-solid interface using molecular dynamics simulations covering a broad range of fluid-solid interactions and fluid densities, and both simple and chain-molecule fluids. The slip length is shown to…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Joel Koplik , Jayanth R. Banavar

A comprehensive review of current analytical models, experimental techniques, and influencing factors is carried out to highlight the current challenges in this area. The study of fluid-solid boundary conditions has been ongoing for more…

Soft Condensed Matter · Physics 2017-05-09 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The…

Soft Condensed Matter · Physics 2016-04-20 Aaron Dörr , Steffen Hardt

We study the structure and dynamics of the interface separating a passive fluid from a microtubule-based active fluid. Turbulent-like active flows power giant interfacial fluctuations, which exhibit pronounced asymmetry between regions of…

We investigate the limiting behavior of the Navier-Stokes-Cahn-Hilliard model for binary-fluid flows as the diffuse-interface thickness passes to zero, in the presence of fluid-fluid-solid contact lines. Allowing for motion of such contact…

Numerical Analysis · Mathematics 2024-07-09 T. H. B. Demont , S. K. F. Stoter , C. Diddens , E. H. van Brummelen

The interaction between the flow above and below a permeable wall is a central topic in the study of porous media. While previous investigations have provided compelling evidence of the strong coupling between the two regions, few studies…

Fluid Dynamics · Physics 2021-07-07 Wenkang Wang , Xu Chu , Adrián Lozano-Durán , Rainer Helmig , Bernhard Weigand

The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen-Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models, and prove convergence…

Analysis of PDEs · Mathematics 2022-12-23 Tim Laux , Kerrek Stinson , Clemens Ullrich