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We consider dynamics of the empirical measure of vertex neighborhood states of Markov interacting jump processes on sparse random graphs, in a suitable asymptotic limit as the graph size goes to infinity. Under the assumption of a certain…

概率论 · 数学 2025-02-10 Juniper Cocomello , Michel Davydov , Kavita Ramanan

Direct numerical simulations of the incompressible Navier-Stokes equations are not feasible yet for most practical turbulent flows. Therefore, dynamically less complex mathematical formulations are necessary for coarse-grained simulations.…

流体动力学 · 物理学 2017-12-04 F. X. Trias , A. Gorobets , M. H. Silvis , R. W. C. P. Verstappen , A. Oliva

An experiment was performed using Dual-plane-SPIV in the LMFL boundary layer facility to determine all of the derivative moments needed to estimate the average dissipation rate of the turbulent kinetic energy, $\varepsilon$, and its…

By means of lattice-Boltzmann simulations the drag force on a sphere of radius R approaching a superhydrophobic striped wall has been investigated as a function of arbitrary separation h. Superhydrophobic (perfect-slip vs. no-slip) stripes…

We present a method for dimensionally adaptive sparse trigonometric interpolation of multidimensional periodic functions belonging to a smoothness class of finite order. This method targets applications where periodicity must be preserved…

数值分析 · 数学 2020-08-28 Zack Morrow , Miroslav Stoyanov

In the recent years many research groups have studied slippery properties on lubricating fluid infused rough surfaces using hydrophobic substrates. These surfaces show excellent slippery behaviour for water and other liquids. Here we…

软凝聚态物质 · 物理学 2015-08-05 Reeta Pant , Pritam Kumar Roy , Arun Kumar Nagarajan , Krishnacharya Khare

The escape dynamics of sticky particles from textured surfaces is poorly understood despite importance to various scientific and technological domains. In this work, we address this challenge by investigating the escape time of adsorbates…

统计力学 · 物理学 2025-07-15 Yuval Scher , Shlomi Reuveni , Denis S. Grebenkov

Acquiring a comprehensive understanding of the interplay between foam friction and surface roughness is essential for achieving precise control over their flow dynamics. In particular, a major challenge is to reduce friction, which can be…

流体动力学 · 物理学 2025-01-16 Alexis Commereuc , Emmanuelle Rio , François Boulogne

We report numerical simulations on granular shear flows confined between two flat but frictional sidewalls. Novel regimes differing by their strain localization features are observed. They originate from the competition between dissipation…

软凝聚态物质 · 物理学 2015-10-28 Riccardo Artoni , Patrick Richard

We propose a procedure - partly analytical and partly numerical - to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The…

流体动力学 · 物理学 2014-04-03 Marco Martins Afonso , Simon Mendez , Franck Nicoud

We demonstrate that "moderate" departures from the no-slip hydrodynamic boundary condition (hydrodynamic slip lengths in the nanometer range) can result in a very large enhancement - up to two orders of magnitude- of most interfacially…

软凝聚态物质 · 物理学 2009-11-11 Armand Ajdari , Lyderic Bocquet

Experiments and simulations suggest that simple liquids may experience slip while flowing near a smooth, hydrophobic surface. Here we show how precursors to molecular slip can be observed in the complex response of a liquid to oscillatory…

流体动力学 · 物理学 2018-10-03 Justin E. Pye , Clay E. Wood , Justin C. Burton

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,…

软凝聚态物质 · 物理学 2008-06-24 Christian Kunert , Jens Harting

We study exact solutions for the slow viscous flow of an infinite liquid caused by two rigid spheres approaching each either along or parallel to their line of centres, valid at all separations. This goes beyond the applicable range of…

流体动力学 · 物理学 2020-03-30 B. D. Goddard , R. D. Mills-Williams , J. Sun

We present a general framework for accurately evaluating finite difference operators in the presence of known discontinuities across an interface. Using these techniques, we develop simple-to-implement, second-order accurate methods for…

数值分析 · 数学 2017-01-02 Ben Preskill , James A. Sethian

A Marangoni surfer is an object embedded in a gas-liquid interface, propelled by gradients in surface tension. We derive an analytical theorem for the lower bound on the viscous dissipation by a Marangoni surfer in the limit of small…

流体动力学 · 物理学 2024-05-15 Abdallah Daddi-Moussa-Ider , Ramin Golestanian , Andrej Vilfan

The influence of the texture of a hydrophobic surface on the electro-osmotic slip of the second kind and the electrokinetic instability near charge-selective surfaces (permselective membranes, electrodes, or systems of micro- and…

流体动力学 · 物理学 2015-06-18 V. S. Shelistov , E. A. Demekhin , G. S. Ganchenko

Macro-textured superhydrophobic surfaces can reduce droplet-substrate contact times of impacting water droplets, however, surface designs with similar performance for significantly more viscous liquids are missing, despite their importance…

软凝聚态物质 · 物理学 2019-01-23 Gustav Graeber , Oskar B. Martin Kieliger , Thomas M. Schutzius , Dimos Poulikakos

The motion and deformation of a droplet suspended in an unbounded fluid with an arbitrary, but Stokesian, imposed flow is investigated when there is a slip at the interface between the two liquids. The boundary condition at the interface is…

流体动力学 · 物理学 2015-03-31 Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakraborty

This fluid dynamics video describes droplet impingement experiments performed on superhydrophobic surfaces. When droplets of pure water are impinged upon superhydrophobic surfaces, a region of thin coherent jets are observed for Weber…

流体动力学 · 物理学 2015-03-17 John T. Pearson , Daniel Maynes , Brent W. Webb
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