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Consider a colloidal suspension of rigid particles in a steady Stokes flow. In a celebrated work, Einstein argued that in the regime of dilute particles the system behaves at leading order like a Stokes fluid with some explicit effective…

Analysis of PDEs · Mathematics 2020-12-30 Mitia Duerinckx , Antoine Gloria

The remaining dynamical degrees of freedom of molecular fluids confined into capillaries of nano to sub-nanometer diameter are of fundamental relevance for future developments in the field of nanofluidics. These properties cannot be simply…

The main objective of this paper and the accompanying one \cite{ETZ2} is to provide a notion of viscosity solutions for fully nonlinear parabolic path-dependent PDEs. Our definition extends our previous work \cite{EKTZ}, focused on the…

Probability · Mathematics 2014-09-15 Ibrahim Ekren , Nizar Touzi , Jianfeng Zhang

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At…

Soft Condensed Matter · Physics 2016-10-10 Sarthok Sircar , Anthony J. Roberts

The impact of nanometer sized drops on solid surfaces is studied using molecular dynamics simulations. Equilibrated floating drops consisting of short chains of Lennard-Jones liquids with adjustable volatility are directed normally onto an…

Soft Condensed Matter · Physics 2015-06-11 Joel Koplik , Rui Zhang

An aqueous suspension of silica nanoparticles or nanofluid can alter the wettability of surfaces, specifically by making them hydrophilic and oil-repellent under water. Wettability alteration by nanofluids have important technological…

Applied Physics · Physics 2021-08-13 Shidong Li , Anqi Sng , Dan Daniel , Hon Chung Lau , Ole Torsæter , Ludger P. Stubbs

Successful assembly of suspended nanoscale rod-like particles depends on fundamental phenomena controlling rotational and translational diffusion. Despite the significant developments in fluidic fabrication of nanostructured materials, the…

Soft Condensed Matter · Physics 2018-01-25 Christophe Brouzet , Nitesh Mittal , L. Daniel Söderberg , Fredrik Lundell

Biological nanoparticles (BNPs) are of high interest due to their key role in various biological processes and use as biomarkers. BNP size and molecular composition are decisive for their functions, but simultaneous determination of both…

Biological Physics · Physics 2016-09-26 Stephan Block , Björn Johansson Fast , Anders Lundgren , Vladimir P. Zhdanov , Fredrik Höök

According to Stokes' law, a moving solid surface experiences dissipation that is linearly related to its velocity and the viscosity of the medium. This linear dependence on viscosity forms the basis for many characterization techniques for…

Chemical Physics · Physics 2016-10-04 Arindam Phani , Vakhtang Putkaradze , J. E. Hawk , Kovur Prashanthi , Thomas Thundat

We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we study its homogenization in the macroscopic limit. A key point…

Analysis of PDEs · Mathematics 2023-03-15 Armand Bernou , Mitia Duerinckx , Antoine Gloria

We propose a mixed finite element method for the motion of a strongly viscous, ideal, and isentropic gas. At the boundary we impose a Navier-slip condition such that the velocity equation can be posed in mixed form with the vorticity as an…

Numerical Analysis · Mathematics 2009-11-11 Kenneth Karlsen , Trygve Karper

Binary droplet collisions are of importance in a variety of practical applications comprising dispersed two-phase flows. The background of our research is the prediction of properties of particulate products formed in spray processes. To…

Fluid Dynamics · Physics 2012-10-24 C. Focke , D. Bothe , M. Kuschel , M. Sommerfeld

We introduce a new experimental approach to study the structural transitions of large numbers of nanoparticle-coated droplets as their volume is reduced. We use an emulsion system where the dispersed phase is slightly soluble in the…

Soft Condensed Matter · Physics 2012-09-28 Sujit S. Datta , Ho Cheung Shum , David A. Weitz

Literature values of disjoining pressure in liquid nanofilms from different molecular simulation methods show significant discrepancies. We demonstrate that these arise from neglecting long-range dispersion interactions and inconsistent…

Chemical Physics · Physics 2026-03-31 Yafan Yang , Zufeng Zuo , Jingyu Wan , Shuyu Sun , Denvid Lau

The controllability of passive microparticles that are advected with the fluid flow generated by an actively controlled one is studied. The particles are assumed to be suspended in a viscous fluid and well separated so that the far-field…

Fluid Dynamics · Physics 2025-02-05 Henry Shum , Marta Zoppello , Michael Astwood , Marco Morandotti

For an accurate description of nanofluidic systems, it is crucial to account for the transport properties of liquids at surfaces on sub-nanometer scales, where classical hydrodynamics fails due to the finite range of surface-liquid…

Soft Condensed Matter · Physics 2025-10-07 Shane R. Carlson , Roland R. Netz

Particle methods are less computationally efficient than grid based numerical solution of the Navier Stokes equation. However, they have important advantages including rigorous mass conservation, momentum conservation and isotropy. In…

Fluid Dynamics · Physics 2024-06-26 Paul Meakin , Zhijie Xu

This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we investigate the effectiveness of a standard volume penalization…

Analysis of PDEs · Mathematics 2024-01-05 Piotr Krzyżanowski , Sadokat Malikova , Piotr B. Mucha , Tomasz Piasecki

A two-dimensional strongly-coupled dusty plasma is modeled using Langevin and frictionless molecular dynamical simulations. The static viscosity $\eta$ and the wave-number-dependent viscosity $\eta(k)$ are calculated from the microscopic…

Plasma Physics · Physics 2015-03-19 Yan Feng , J. Goree , Bin Liu

The dispersion stability and thermal conductivity of propylene glycol based nanofluids containing Al2O3 and TiO2 nanoparticles were studied in the temperature range of 20 to 80 {\deg}C. Nanofluids with different concentrations of…

Fluid Dynamics · Physics 2012-05-10 Ibrahim Palabiyik , Zenfira Musina , Sanjeeva Witharana , Yulong Ding
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