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A pressure driven flow in contact interface between elastic solids with wavy surfaces is studied. We consider a strong coupling between the solid and the fluid problems, which is relevant when the fluid pressure is comparable with the…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

In this investigation we revisit the concept of "effective free surfaces" arising in the solution of the time-averaged fluid dynamics equations in the presence of free boundaries. This work is motivated by applications of the optimization…

Fluid Dynamics · Physics 2012-09-04 R. Yapalparvi , B. Protas

We investigate through numerical simulations the hydrodynamic interactions between two rigid spherical particles suspended on the axis of a cylindrical tube filled with an elastoviscoplastic fluid subjected to pressure-driven flow. The…

The composite torsional ultrasonic oscillator, a versatile experimental system, can be used to investigate slip of Newtonian fluid at a smooth surface. A rigorous analysis of slip-dependent damping for the oscillator is presented.…

Fluid Dynamics · Physics 2009-11-13 G. R. Willmott , J. L. Tallon

Direct Numerical Simulations of two superposed fluids in a channel with a textured surface on the lower wall have been carried out. A parametric study varying the viscosity ratio between the two fluids has been performed to mimic both {\bf…

Fluid Dynamics · Physics 2019-05-22 I. Arenas , E. Garcia , M. K. Fu , P. Orlandi , M. Hultmark , S. Leonardi

The transient time correlation function method (TTCF) has emerged as a powerful methodology for accurately probing systems at low shear rates. In the present study, TTCF was used to evaluate the shear rate dependence of the slip length in a…

Chemical Physics · Physics 2026-03-24 Carmelo Civello , Luca Maffioli , Edward Smith , James Ewen , Peter Daivis , Daniele Dini , Billy Todd

In this paper, we study an interaction problem between a $3D$ compressible viscous fluid and a $3D$ nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the interface surface. The solid is allowed to have…

Analysis of PDEs · Mathematics 2023-12-20 Malte Kampschulte , Boris Muha , Srđan Trifunović

We consider a coupled PDE-ODE system describing the motion of the rigid body in a container filled with the incompressible, viscous fluid. The fluid and the rigid body are coupled via Navier slip boundary condition. We prove that the local…

Analysis of PDEs · Mathematics 2018-10-17 Nikolai V. Chemetov , Sarka Necasova , Boris Muha

Using Molecular Dynamics (MD) and Monte Carlo (MC) simulations interfacial properties of crystal-fluid interfaces are investigated for the hard sphere system and the one-component metallic system Ni (the latter modeled by a potential of the…

Materials Science · Physics 2015-05-13 T. Zykova-Timan , R. E. Rozas , J. Horbach , K. Binder

Using equilibrium and nonequilibrium molecular dynamics simulations, we determine the Kapitza resistance (or thermal contact resistance) at a model liquid solid interface. The Kapitza resistance (or the associated Kapitza length) can reach…

Materials Science · Physics 2009-11-07 Jean-Louis Barrat , François Chiaruttini

When a liquid droplet is located above a super-hydrophobic surface, it only barely touches the solid portion of the surface, and therefore slides very easily on it. More generally, super-hydrophobic surfaces have been shown to lead to…

Fluid Dynamics · Physics 2010-04-09 Anthony M. J. Davis , Eric Lauga

We show the global existence of a weak solution for the Navier-Stokes equations for compressible fluids with slip boundary conditions of friction type.

Analysis of PDEs · Mathematics 2023-06-30 Sarka Necasova , Justyna Ogorzaly , Jan Scherz

We have measured the interaction between $^4$He gas at 4.2$~$K and a high-quality nano-electro-mechanical string device for its first 3 symmetric modes (resonating at 2.2$~$MHz, 6.7$~$MHz and 11$~$MHz with quality factor $Q > 0.1$ million)…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 M. Defoort , K. J. Lulla , T. Crozes , O. Maillet , O. Bourgeois , E. Collin

This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic were found through the study of cluster integrals for…

Statistical Mechanics · Physics 2016-03-09 Ignacio Urrutia

We study the effect of atomic scale surface-lubricant interactions on nanoscale boundary-lubricated friction, by considering two example surfaces - hydrophilic mica and hydrophobic graphene - confining thin layers of water in molecular…

Materials Science · Physics 2015-06-23 Wei Chen , Adam S. Foster , Mikko J. Alava , Lasse Laurson

Probing the fluid dynamics of thin films is an excellent tool to study the solid/liquid boundary condition. There is no need for external stimulation or pumping of the liquid due to the fact that the dewetting process, an internal…

Soft Condensed Matter · Physics 2009-09-11 O. Baeumchen , K. Jacobs

We present NAVIS (NAnochannel Velocity and thermal Interfacial Slip), a LAMMPS-Python scripted toolkit for computing the Navier (hydrodynamic) friction coefficient and Kapitza (thermal) resistance at arbitrary solid-fluid interfaces. NAVIS…

Soft Condensed Matter · Physics 2026-01-19 Sleeba Varghese , Sobin Alosious , Jesper Schmidt Hansen , Billy Dean Todd

We study in this paper the movement of a rigid solid inside an incompressible Navier-Stokes flow, within a bounded domain. We consider the case where slip is allowed at the fluid/solid interface, through a Navier condition. Taking into…

Analysis of PDEs · Mathematics 2014-03-06 David Gérard-Varet , Matthieu Hillairet

Nanofluidics has firmly established itself as a new field in fluid mechanics, as novel properties have been shown to emerge in fluids at the nanometric scale. Thanks to recent developments in fabrication technology, artificial nanofluidic…

Fluid Dynamics · Physics 2020-12-01 Nikita Kavokine , Roland R. Netz , Lydéric Bocquet

We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model.…

Analysis of PDEs · Mathematics 2026-03-04 Qianfeng Li , Emil Wiedemann