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The impact of a liquid drop on a solid surface involves many intertwined physical effects, and is influenced by drop velocity, surface tension, ambient pressure and liquid viscosity, among others. Experiments by Kolinski et al. (2014b) show…

Fluid Dynamics · Physics 2022-08-10 Shruti Mishra , Shmuel M. Rubinstein , Chris H. Rycroft

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

Solution of a problem on the interaction mechanics of a free liquid jet with a flat plate, body and with other jet has been achieved by means of a graphic-analytical method, developed by author of the given article. This method has allowed…

Fluid Dynamics · Physics 2008-01-29 S. L. Arsenjev

A mathematical model is derived for the dynamics of a cylinder, or wheel, rolling over a thin viscous film. The model combines the Reynolds lubrication equation for the fluid with an equation of motion for the wheel. Two asymptotic limits…

Fluid Dynamics · Physics 2025-11-18 Siqi Chen , Cheng Liu , Neil J. Balmforth , Sheldon Green , Boris Stoeber

Lubrication forces depend to a high degree on elasticity, texture, charge, chemistry, and temperature of the interacting surfaces. Therefore, by appropriately designing surface properties, we may tailor lubrication forces to reduce…

Soft Condensed Matter · Physics 2020-08-19 Aidan Rinehart , Uǧis L{ā}cis , Thomas Salez , Shervin Bagheri

The paper is devoted to the study of the motion of one-dimensional rigid bodies during a free fall in a quasi-Newtonian hyperviscous fluid at low Reynolds number. We show the existence of a steady solution and furnish sufficient conditions…

Mathematical Physics · Physics 2016-03-23 Giulio G. Giusteri , Alfredo Marzocchi , Alessandro Musesti

Biological organisms swimming at low Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper we present an analysis of locomotion near a free surface with surface tension. Using a…

Fluid Dynamics · Physics 2015-03-13 Darren Crowdy , Sungyon Lee , Ophir Samson , Eric Lauga , A. E. Hosoi

The hydrodynamic lift force that polymers experience near boundaries is known to be a crucial element when considering rheological flows of dilute polymer solutions. Here we develop theory to describe the hydrodynamic lift force on extended…

Soft Condensed Matter · Physics 2015-05-27 Charles E Sing , Alfredo Alexander-Katz

Lubrication flows appear in many applications in engineering, biophysics, and in nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubrication fluid builds up a lift force. In this paper we analyse…

Fluid Dynamics · Physics 2016-08-24 Anupam Pandey , Stefan Karpitschka , Kees Venner , Jacco Snoeijer

We discuss a methodology that could be gainfully exploited using easily measurable experimental quantities to ascertain if the ``no-slip" boundary condition is appropriate for the flows of fluids past a solid boundary.

Fluid Dynamics · Physics 2023-07-04 Josef Málek , Kumbakonam R. Rajagopal

The lift and drag forces acting on a small spherical particle moving with a finite slip in single-wall-bounded flows are investigated via direct numerical simulations. The effect of slip velocity on the particle force is analysed as a…

Fluid Dynamics · Physics 2021-04-07 Nilanka. I. K. Ekanayake , Joseph D. Berry , Dalton J. E. Harvie

A theoretical model is proposed for low temperature friction between two smooth rigid solid surfaces separated by lubricant molecules, admitting their deformations and rotations. Appearance of different modes of energy dissipation (by…

Materials Science · Physics 2009-11-10 V. M. Loktev , Yu. G. Pogorelov

Rate- and state-dependent friction law for velocity-step tests is analyzed from a thermodynamic point of view. A simple macroscopic non-equilibrium thermodynamic model with a single internal variable reproduces instantaneous jump and…

Geophysics · Physics 2014-11-19 Noa Mitsui , P. Ván

This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

Analysis of PDEs · Mathematics 2016-09-21 David Lannes

Recent experiments and numerical simulations have shown that certain types of microorganisms "reflect" off of a flat surface at a critical angle of departure, independent of the angle of incidence. The nature of the reflection may be active…

Chaotic Dynamics · Physics 2017-10-26 Saverio E. Spagnolie , Colin Wahl , Joseph Lukasik , Jean-Luc Thiffeault

Fluid mechanics can be formulated on dynamical surfaces of arbitrary co-dimension embedded in a background space-time. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas , Niels A. Obers

The hydrodynamics of a flagellated microorganism is investigated when swimming close to a planar free-slip surface by means of numerical solu- tions of the Stokes equations obtained via a Boundary Element Method. Depending on the initial…

Fluid Dynamics · Physics 2017-03-31 Daniela Pimponi , Mauro Chinappi , Paolo Gualtieri , Carlo Massimo Casciola

We study experimentally the motion of non-deformable microbeads in a linear shear flow close to a wall bearing a thin and soft polymer layer. Combining microfluidics and 3D optical tracking, we demonstrate that the steady-state bead/surface…

Soft Condensed Matter · Physics 2018-05-16 Heather Davies , Delphine Débarre , Nouha El Amri , Claude Verdier , Ralf P Richter , Lionel Bureau

Concept of curvature of liquid surrounding a spherical surface seems obvious in daily life, but based on earthly conditions everywhere. However, our understanding about the concept seems more transparent when we keep the system out of the…

Fluid Dynamics · Physics 2020-08-27 Rajdeep Tah , Sarbajit Mazumdar , Krishna Kant Parida

Equations of motion are derived for (visco)elastic, self-gravitating, and variably-rotating planets. The equations are written using a decomposition of the elastic motion that separates the body's elastic deformation from its net…

Classical Physics · Physics 2023-09-25 Matthew Maitra , David Al-Attar