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A viscous, lubrication-like response can be triggered in a thin film of fluid squeezed between a rigid and flat surface and the tip of an incoming projectile. We develop a comprehensive theory for this viscous approach stage of…

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

The article proposes an algorithm to model the collision between arbitrary ellipsoids in viscous fluid. It is composed of several steps, each improving upon the standard procedure employed in the current literature. First, an efficient…

Fluid Dynamics · Physics 2022-03-11 Ramandeep Jain , Silvio Tschisgale , Jochen Fröhlich

The capillary forces exerted by liquid drops and bubbles on a soft solid are directly measured using molecular dynamics simulations. The force on the solid by the liquid near the contact line is not oriented along the liquid vapor interface…

Soft Condensed Matter · Physics 2013-05-31 Joost H. Weijs , Bruno Andreotti , Jacco H. Snoeijer

The experiment shows that small liquid droplets under the action of gravity and the Archimedes force move in the external viscous liquid practically according to the Stokes drag force equation, and not in accordance with the…

Fluid Dynamics · Physics 2025-02-11 Peter Lebedev-Stepanov

In this paper we study the dynamics of an incompressible viscous fluid evolving in an open-top container in two dimensions. The fluid mechanics are dictated by the Navier-Stokes equations. The upper boundary of the fluid is free and evolves…

Analysis of PDEs · Mathematics 2020-10-30 Yan Guo , Ian Tice

The mechanism of fluid slip on a solid surface has been linked to surface diffusion, by which mobile adsorbed fluid molecules perform hops between adsorption sites. However, slip velocity arising from this surface hopping mechanism has been…

Soft Condensed Matter · Physics 2018-11-02 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

This work explores the lift force experienced by a particle moving in a viscous fluid near a liquid-liquid interface. The lift force is induced by the interaction between the viscous flow generated by the particle's motion and the…

Soft Condensed Matter · Physics 2026-02-17 Hao Zhang , Zaicheng Zhang , Abdelhamid Maali

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

The effects of viscoelasticity have been shown to manifest themselves via symmetry breaking. In this investigation, we show a novel phenomenon that arises from this idea. We observe that when a dense sphere is rotated near a wall (the…

Fluid Dynamics · Physics 2022-06-29 Yunxing Su , Alfonso Castillo , On Shun Pak , Lailai Zhu , Roberto Zenit

Experimental and modelling study is presented for the effect of a wide range of liquid viscosities on the droplet impact on a smooth solid surface at atmospheric pressure. A non-monotonic variation of threshold between droplet deposition…

Fluid Dynamics · Physics 2021-09-15 Lei Yang , Zhonghong Li , Tao Yang , Yicheng Chi , Peng Zhang

We report a new theory of dissipative forces acting between colliding viscoelastic bodies. The impact velocity is assumed not to be large, to avoid plastic deformations and fragmentation at the impact. The bodies may be of an arbitrary…

Soft Condensed Matter · Physics 2015-11-10 Denis S. Goldobin , Eugeniy A. Susloparov , Anastasiya V. Pimenova , Nikolai V. Brilliantov

The evolution of suspension drops sedimenting under gravity in a viscous fluid close to a vertical wall was studied experimentally and numerically with the use of the point-force model, in the Stokes flow regime. The fluid inside and…

Fluid Dynamics · Physics 2015-05-27 Anna Mylyk , Walter Meile , Gunter Brenn , Maria L. Ekiel-Jezewska

We consider the motion of a rigid body, governed by the Navier-Stokes equations in a bounded domain. Navier's condition is prescribed on the boundary of the body. We give the global in a time solvability result of weak solution. The result…

Analysis of PDEs · Mathematics 2017-06-20 Nikolai V. Chemetov , Sarka Necasova

When a soft hydrogel sphere is placed on a rigid hydrophilic substrate, it undergoes arrested spreading by forming an axisymmetric foot near the contact line, while conserving its global spherical shape. In contrast, liquid water (that…

Soft Condensed Matter · Physics 2018-04-04 Aditi Chakrabarti , Amir Porat , Elie Raphaël , Thomas Salez , Manoj K. Chaudhury

The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic (EHD)…

Soft Condensed Matter · Physics 2023-06-22 Vincent Bertin , Yacine Amarouchene , Elie Raphael , Thomas Salez

We present single contact friction experiments between a glassy polymer and smooth silica substrates grafted with alkylsilane layers of different coverage densities and morphologies. This allows us to adjust the polymer/substrate…

Soft Condensed Matter · Physics 2007-05-23 Lionel Bureau , Christiane Caroli , Tristan Baumberger

We present the results of an experimental investigation into buoyant rigid spheres rising through highly concentrated collections of hydrated hydrogel particles. The volume fraction of particles is such that the mechanical properties of the…

Soft Condensed Matter · Physics 2026-01-13 Tom Mullin , Tommaso Pettinari , Joshua A. Dijksman

The flow near a moving contact line depends on the dynamic contact angle, viscosity ratio, and capillary number. We report experiments involving immersing a plate into a liquid bath, concurrently measuring the interface shape, interfacial…

Fluid Dynamics · Physics 2024-12-04 Charul Gupta , Anjishnu Choudhury , Lakshmana D Chandrala , Harish N Dixit

We consider binary mixtures of soft repulsive spherical particles and calculate the depletion interaction between two big spheres mediated by the fluid of small spheres, using different theoretical and simulation methods. The validity of…