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Related papers: Slip length for a viscous flow over spiky surfaces

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Further improvements are made to the non-linear data analysis algorithm for the atomic force microscope [P. Attard, arXiv:1212.3019v2 (2012)]. The algorithm is required when there is curvature in the compliance region due to photo-diode…

Soft Condensed Matter · Physics 2013-03-07 Phil Attard

Substantial experimental, theoretical, as well as numerical effort has been invested to understand the effect of boundary slippage in microfluidic devices. However, even though such devices are becoming increasingly important in scientific,…

Soft Condensed Matter · Physics 2008-06-24 Christian Kunert , Jens Harting

Hydrodynamic slip of a liquid at a solid surface represents a fundamental phenomenon in fluid dynamics that governs liquid transport at small scales. For polymeric liquids, de Gennes predicted that the Navier boundary condition together…

We investigate the dynamics of pressure driven transient flows of incompressible Newtonian fluids through circular microtubes having thin elastic walls under the long-wavelength and small deformation assumptions, which are valid for many…

Fluid Dynamics · Physics 2012-12-04 Omer San , Anne E. Staples

Two-dimensional potential flows of an ideal fluid with a free surface are considered in situations when shape of the bottom depends on time due to external reasons. Exact nonlinear equations describing surface waves in terms of the so…

Fluid Dynamics · Physics 2009-11-10 V. P. Ruban

The swimming of a deformable planar slab in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations. A continuum of plane wave displacements, symmetric on both sides of the slab and characterized by a…

Fluid Dynamics · Physics 2016-11-08 B. U. Felderhof

Motivated by experimental evidence of violations of the no-slip boundary condition for liquid flow in micron-scale geometries, we propose a simple, complementary experimental technique that has certain advantages over previous studies.…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga , Todd M. Squires

We study the hydrodynamic viscous electronic transport in a two-dimensional sample separated into two semi-infinite planes by a one-dimensional infinite barrier. The semi-infinite planes are electrically connected via the finite-size slit…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Daniil Asafov , Valentin Kachorovskii , Konstantin Tikhonov , Gu Zhang

Molecular dynamics simulations have been performed to study frictional slip and its influence on energy dissipation and momentum transfer at atomically smooth solid/water interfaces. By modifying surface chemistry, we investigate the…

Fluid Dynamics · Physics 2016-08-08 Kai Huang , Izabela Szlufarska

Super hydrophobic surfaces have been the focus of research in the recent years.One of the reasons for this is the self cleaning property of these surfaces which emerges from the ability of the droplets to roll freely over them.However…

Fluid Dynamics · Physics 2015-11-30 Indrajit P. Wadgaonkar , T. Sundararajan , Sarit K. Das

We present a simple method to efficiently compute a lower limit of the topological entropy and its spatial distribution for two-dimensional mappings. These mappings could represent either two-dimensional time-periodic fluid flows or…

Plasma Physics · Physics 2017-10-19 Simon Candelaresi , David Ian Pontin , Gunnar Hornig

In this work, we develop a computational framework that aims at simultaneously optimizing the shape and the slip velocity of an axisymmetric microswimmer suspended in a viscous fluid. We consider shapes of a given reduced volume that…

Optimization and Control · Mathematics 2024-05-02 Ruowen Liu , Hai Zhu , Hanliang Guo , Marc Bonnet , Shravan Veerapaneni

Using an electrical method and high-speed imaging we probe drop coalescence down to 10 ns after the drops touch. By varying the liquid viscosity over two decades, we conclude that at sufficiently low approach velocity where deformation is…

Fluid Dynamics · Physics 2011-03-16 Joseph D. Paulsen , Justin C. Burton , Sidney R. Nagel

We derive a set of equations in conformal variables that describe a potential flow of an ideal inviscid fluid with free surface in a bounded domain. This formulation is free of numerical instabilities present in the equations for the…

Fluid Dynamics · Physics 2018-12-26 Sergey A. Dyachenko

We investigate viscous and non-viscous flow in two-dimensional self-affine fracture joints through direct numerical simulations of the Navier-Stokes equations. As a novel hydrodynamic feature of this flow system, we find that the effective…

Disordered Systems and Neural Networks · Physics 2007-05-23 José S. Andrade , Ascânio D. Araújo , Fernando A. Oliveira , Alex Hansen

The tribology between surfaces can have a profound impact on the response of a mechanical system, such as how granular particles are driven to flow. In this work, we perform experiments that time-resolve the tangential and normal components…

Soft Condensed Matter · Physics 2023-11-13 Cheng-En Tsai , Jih-Chiang Tsai

Inspired by the recent realization of a 2D chiral fluid as an active monolayer droplet moving atop a 3D Stokesian fluid, we formulate mathematically its free-boundary dynamics. The surface droplet is described as a general 2D linear,…

Fluid Dynamics · Physics 2022-11-16 Leroy L. Jia , William T. M. Irvine , Michael J. Shelley

Carbonous materials, such as graphene and carbon nanotube, have attracted tremendous attention in the fields of nanofluidics due to the slip at the interface between solid and liquid. The dependence of slip length for water on the types of…

Fluid Dynamics · Physics 2022-06-29 Han Li , Zhi Xu , Chen Ma , Ming Ma

When a mixture of two viscous liquids flows past a solid wall there is an ambiguity in the use of the no-slip boundary condition. It is not obvious whether the mass-averaged velocity, the volume-averaged velocity, the individual species…

Soft Condensed Matter · Physics 2009-10-31 Joel Koplik , Jayanth R. Banavar

We study the snapping instability of a spherical elastic shell induced by a viscous flow, the umbrella flipping problem when life is at low Reynolds numbers. We combine precision desktop-scale experiments, fluid-structure simulations, shell…