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The electrophoretic mobility of a spherical particle is well understood, yet how particle shape modifies this mobility at arbitrary Debye length remains an open question. Here, we compute the electrophoretic mobility of a nearly spherical…

Fluid Dynamics · Physics 2026-04-24 Arkava Ganguly , Ankur Gupta

We use a hydrodynamic reciprocal approach to phoretic motion to derive general expressions for the electrophoretic and thermophoretic mobility of weakly charged colloids in aqueous electrolyte solutions. Our approach shows that phoretic…

Soft Condensed Matter · Physics 2018-10-08 Jérôme Burelbach , Holger Stark

Elastic confinements play an important role in many soft matter systems and affect the transport properties of suspended particles in viscous flow. On the basis of low-Reynolds-number hydrodynamics, we present an analytical theory of the…

Fluid Dynamics · Physics 2019-04-12 Abdallah Daddi-Moussa-Ider , Badr Kaoui , Hartmut Löwen

As an approach to the motion of particles in an anisotropic liquid, we analytically study the Stokes drag of spherical particles in a nematic liquid crystal. The Stokes drag of spherical particles for a general anisotropic case is derived…

Soft Condensed Matter · Physics 2014-03-07 M. V. Kozachok , B. I. Lev

We study the mobility of a charged colloidal particle in a constant homogeneous electric field by means of computer simulations. The simulation method combines a lattice Boltzmann scheme for the fluid with standard Langevin dynamics for the…

Soft Condensed Matter · Physics 2007-06-20 Vladimir Lobaskin , Burkhard Duenweg , Christian Holm

We present thermophoretic measurements in aqueous suspensions of three different polystyrene (PS) particles of varying negative charge, size and surface coating. Our measurement technique is based on the observation of the colloidal…

Soft Condensed Matter · Physics 2017-10-11 Jerome Burelbach , Mykolas Zupkauskas , Robin Lamboll , Yang Lan , Erika Eiser

Slender objects are commonplace in microscale flow problems, from soft deformable sensors to biological filaments such as flagella and cilia. Whilst much research has focussed on the local translational motion of these slender bodies,…

Fluid Dynamics · Physics 2023-03-03 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney

We propose a one-way coupled model that tracks individual primary particles in a conceptually simple cellular flow setup to predict flocculation in turbulence. This computationally efficient model accounts for Stokes drag, lubrication,…

Fluid Dynamics · Physics 2020-04-22 K. Zhao , B. Vowinckel , T. -J. Hsu , T. Köllner , B. Bai , E. Meiburg

Colloidal migration in temperature gradient is referred to as thermophoresis. In contrast to particles with spherical shape, we show that elongated colloids may have a thermophoretic response that varies with the colloid orientation.…

Soft Condensed Matter · Physics 2017-10-19 Zihan Tan , Mingcheng Yang , Marisol Ripoll

Thermo-osmotic flows, generated by applying a thermal gradient along a liquid-solid interface, could be harnessed to convert waste heat into electricity. While this phenomenon has been known for almost a century, there is a crucial need to…

Soft Condensed Matter · Physics 2024-07-15 Mehdi Ouadfel , Samy Merabia , Yasutaka Yamaguchi , Laurent Joly

This paper presents a theory to obtain the force per unit length acting on a slender filament with a non-circular cross-section moving in a fluid at low Reynolds number. Using a regular perturbation of the inner solution, we show that the…

Fluid Dynamics · Physics 2019-09-10 Neeraj Sinai Borker , Donald L. Koch

We propose a procedure for the determination of the time-dependent velocity and pressure fields of an unbounded incompressible viscous fluid in an external force field induced by an arbitrary number of spheres moving and rotating in it as…

Fluid Dynamics · Physics 2007-05-23 A. S. Usenko

We propose a numerical method to simulate electrohydrodynamic phenomena in charged colloidal dispersions. This method enables us to compute the time evolutions of colloidal particles, ions, and host fluids simultaneously by solving Newton,…

Soft Condensed Matter · Physics 2007-05-23 Kang Kim , Yasuya Nakayama , Ryoichi Yamamoto

In order to generalize the well-known spanwise-oscillating-wall technique for drag reduction, non-sinusoidal oscillations of a solid wall are considered as a means to alter the skin-friction drag in a turbulent channel flow. A series of…

This research investigates the rotational dynamics of a charged axisymmetric spinning rigid body influenced by gyrostatic torque. The study also accounts for the effects of transverse and constant body-fixed torques and an electromagnetic…

Classical Physics · Physics 2025-03-04 A. H. Elneklawy

We demonstrate a technique for simultaneously measuring each component of the force vectors and mobility tensor of a small collection of colloidal particles based on observing a set of particle trajectories. For a few-body system of…

Soft Condensed Matter · Physics 2016-09-08 Jason W. Merrill , Sunil K. Sainis , Jerzy Blawzdziewicz , Eric R. Dufresne

Electrophoresis is a motion of charged dispersed particles relative to a fluid in a uniform electric field. The effect is widely used to separate macromolecules, to assemble colloidal structures, to transport particles in nano- and…

Soft Condensed Matter · Physics 2011-01-21 Oleg D. Lavrentovich , Israel Lazo , Oleg P. Pishnyak

The immersed boundary method is a numerical and mathematical formulation for solving fluid-structure interaction problems. It relies on solving fluid equations on an Eulerian fluid grid and interpolating the resulting velocity back onto…

Numerical Analysis · Mathematics 2020-03-19 Ondrej Maxian , Charles S. Peskin

Sedimentation is extremely common in nature, occurring throughout the atmosphere and oceans, and in every laboratory centrifuge. The shape and mass distribution of a particle uniquely determines its motion at low Reynolds number, and…

Soft Condensed Matter · Physics 2026-03-03 Wenting Cheng , Tiago Pernambuco , Thomas A. Witten , Haim Diamant , Justin C. Burton

We present an analytical study, validated by numerical simulations, of electroosmotic flow in a Hele-Shaw cell with non-uniform surface charge patterning. Applying the lubrication approximation and assuming thin electric double layer, we…

Fluid Dynamics · Physics 2015-09-15 Evgeniy Boyko , Shimon Rubin , Amir D. Gat , Moran Bercovici