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The purpose of this paper is to investigate the fundamental problem of the non-uniform subsonic motion of a point force and line forces in an unbounded, homogeneous, isotropic medium in analogy to the electromagnetic Li\'enard-Wiechert…

Mathematical Physics · Physics 2012-05-24 Markus Lazar

We introduce a new numerical technique, namely triangular tessellation, to calculate the free energy associated with the adsorption of a colloidal particle at a flat interface. The theory and numerical scheme presented here are sufficiently…

Soft Condensed Matter · Physics 2015-05-14 Joost de Graaf , Marjolein Dijkstra , Rene van Roij

Over the past decade, autophoretic colloids have emerged as a prototypical system for studying self-propelled motion at microscopic scales, with promising applications in microfluidics, micromachinery, and therapeutics. Their motion in a…

Soft Condensed Matter · Physics 2026-05-19 Ursy Makanga , Akhil Varma , Panayiota Katsamba

Since their development in 2001, regularised stokeslets have become a popular numerical tool for low-Reynolds number flows since the replacement of a point force by a smoothed blob overcomes many computational difficulties associated with…

Fluid Dynamics · Physics 2019-08-23 Boan Zhao , Eric Lauga , Lyndon Koens

In the presence of a chemically active particle, a nearby chemically inert particle can respond to a concentration gradient and move by diffusiophoresis. The nature of the motion is studied for two cases: first, a fixed reactive sphere and…

Soft Condensed Matter · Physics 2018-06-25 Shang Yik Reigh , Prabha Chuphal , Snigdha Thakur , Raymond Kapral

We study the hydrodynamic drag force exerted on a sphere in a static anisotropic porous medium. This problem is analysed using the Brinkman-Debye-Bueche equations with an axisymmetric shielding (or permeability) tensor. Using the exact…

Soft Condensed Matter · Physics 2025-07-30 Andrej Vilfan , Bogdan Cichocki , Jeffrey C. Everts

In a theoretical analysis, we generalise well known asymptotic results to obtain expressions for the rate of transfer of material from the surface of an arbitrary, rigid particle suspended in an open pathline flow at large P\'eclet number,…

Fluid Dynamics · Physics 2021-07-01 John M. Lawson

Shock related unsteadiness over axisymmetric spiked body configurations is experimentally investigated at a freestream supersonic Mach number of 2.0 at 0$^\circ$ angle of attack. Three different forebody configurations mounted with a sharp…

Fluid Dynamics · Physics 2020-08-04 Devabrata Sahoo , S. K. Karthick , Sudip Das , Jacob Cohen

We analyze the creeping flow generated by a spherical particle moving through a viscous fluid with nematic directional order, in which momentum diffusivity is anisotropic and which opposes resistance to bending. Specifically, we provide…

Fluid Dynamics · Physics 2013-09-11 Manuel Gómez-González , Juan C. del Álamo

The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficients. The approach is based on a separation of the…

Statistical Mechanics · Physics 2013-05-01 Umberto Marini Bettolo Marconi , Simone Melchionna

Slender structures are ubiquitous in biological and physical systems, from bacterial flagella to soft robotic arms. The Cosserat rod provides a mathematical framework for slender bodies that can stretch, shear, twist and bend. In viscous…

Soft Condensed Matter · Physics 2025-10-22 Mingjia Yan , Mohamed Warda , Balázs Németh , Lukas Kikuchi , Ronojoy Adhikari

The Green's function of the incompressible Stokes equations, the stokeslet, represents the singular flow due to a point force. Its classical value in an unbounded fluid has been extended near surfaces of various shapes, including flat walls…

Fluid Dynamics · Physics 2021-11-15 Ivan Tanasijević , Eric Lauga

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 electrophoretic flow of suspensions of charged colloids with a mesoscopic method that allows to model generic experimental conditions. We show that for highly charged colloids their electrophoretic mobility increases…

Soft Condensed Matter · Physics 2015-05-28 Giovanni Giupponi , Ignacio Pagonabarraga

For many biological systems that involve elastic structures immersed in fluid, small length scales mean that inertial effects are also small, and the fluid obeys the Stokes equations. One way to solve the model equations representing such…

Numerical Analysis · Mathematics 2019-07-24 Ondrej Maxian , Wanda Strychalski

In this work, we propose and test a method for calculating Stokes drag applicable to particle-laden fluid flows where two-way momentum coupling is important. In the point-particle formulation, particle dynamics are coupled to fluid dynamics…

Computational Physics · Physics 2016-06-22 Jeremy Horwitz , Ali Mani

In this paper we briefly introduce the quantum methods for computations of the drag coefficients for flows around a body, using the flows around a rigid sphere as an example, and we aim for comparing the wake under quantized environment and…

Fluid Dynamics · Physics 2015-12-24 Maomao Zhao , Yufei Liu

We study the response of single nanosized spherical colloids in electrolyte solution to an alternating electric field (AC field) by computer simulations. We use a coarse-grained mesoscopic simulation approach that accounts in full for…

Soft Condensed Matter · Physics 2015-06-04 Jiajia Zhou , Friederike Schmid

The dynamics of active colloids is very sensitive to the presence of boundaries and interfaces which therefore can be used to control their motion. Here we analyze the dynamics of active colloids adsorbed at a fluid-fluid interface. By…

Soft Condensed Matter · Physics 2019-11-18 T. Peter , P. Malgaretti , N. Rivas , A. Scagliarini , J. Harting , S. Dietrich

We provide exact solutions of the Stokes equations for a squirming sphere close to a no-slip surface, both planar and spherical, and for the interactions between two squirmers, in three dimensions. These allow the hydrodynamic interactions…

Fluid Dynamics · Physics 2017-04-05 Dario Papavassiliou , Gareth P. Alexander