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Self-propelled colloidal swimmers move by pushing the adjacent fluid backwards. The resulting motion of an asymmetric body depends on the profile of pushing velocity over its surface. We describe a method of predicting the motion arising…

Soft Condensed Matter · Physics 2019-07-18 Thomas A. Witten , Aaron Mowitz

Asymmetrically charged, nonspherical colloidal particles in general perform complex rotations and oblique motions under an electric field. The interplay of electrostatic and hydrodynamic forces complicate the prediction of these motions. We…

Soft Condensed Matter · Physics 2020-07-01 Lara Braverman , Aaron Mowitz , Thomas A. Witten

Stokes flows with near-touching rigid particles induce near-singular lubrication forces under relative motion, making their accurate numerical treatment challenging. With the aim of controlling the accuracy with a computationally cheap…

Numerical Analysis · Mathematics 2024-11-26 Anna Broms , Alex H. Barnett , Anna-Karin Tornberg

The thermophoretic motion of a charged spherical colloidal particle and its accompanying cloud of counterions and co-ions in a temperature gradient is studied theoretically. Using the Debye-Huckel approximation, the Soret drift velocity of…

Soft Condensed Matter · Physics 2008-08-05 Seyyed Nader Rasuli , Ramin Golestanian

We propose a theoretical method to decompose the solution of a Stokes flow past a body immersed in a confined fluid in two simpler problems, related separately to the two geometrical elements of these systems: (i) the body immersed in the…

Fluid Dynamics · Physics 2024-11-27 Giuseppe Procopio , Massimiliano Giona

The results of an experimental investigation of a sphere performing torsional oscillations in a Stokes flow are presented. A novel experimental set up was developed which enabled the motion of the sphere to be remotely controlled through…

Fluid Dynamics · Physics 2016-01-20 F. Box , A. B. Thompson , T. Mullin

We propose an accurate model for the drag coefficient of arbitrary bluff bodies that is valid for high Reynolds numbers ($Re$). The model is based on the drag coefficient model derived for the case of a sphere:, $C_D = a_1 +{\frac{K…

Fluid Dynamics · Physics 2024-10-04 Yousef El Hasadi , Johan Padding

We compute the leading-order inertial corrections to the instantaneous force acting on a rigid body moving with a time-dependent slip velocity in a linear flow field, assuming that the variation of the undisturbed flow at the body scale is…

Fluid Dynamics · Physics 2025-10-01 Fabien Candelier , Bernhard Mehlig , Jacques Magnaudet

A deep understanding of the physical interactions between nanoparticles and target cell membranes is important in designing efficient nanocarrier systems for drug delivery applications. Here, we present a theoretical framework to describe…

Fluid Dynamics · Physics 2020-12-30 Abdallah Daddi-Moussa-Ider

The electrophoretic motion of a conducting particle, driven by an induced charge mechanism, is analyzed. The dependence of the motion upon particle shape is embodied in four tensorial coefficients that relate the particle velocities to the…

Fluid Dynamics · Physics 2007-05-23 Ehud Yariv

Chiral fluids - such as fluids under rotation or a magnetic field as well as synthetic and biological active fluids - flow in a different way than ordinary ones. Due to symmetries broken at the microscopic level, chiral fluids may have…

Soft Condensed Matter · Physics 2024-09-04 Tali Khain , Michel Fruchart , Colin Scheibner , Thomas A. Witten , Vincenzo Vitelli

This review treats asymmetric colloidal particles moving through their host fluid under the action of some form of propulsion. The propulsion can come from an external body force or from external shear flow. It may also come from…

Fluid Dynamics · Physics 2020-09-14 Thomas A. Witten , Haim Diamant

Rigid particles in a Stokesian fluid can physically not overlap, as a thin layer of fluid always separates a particle pair, exerting increasingly strong repulsive forces on the bodies for decreasing separations. Numerically, resolving these…

Fluid Dynamics · Physics 2024-06-11 Anna Broms , Anna-Karin Tornberg

The unsteady hydrodynamic drag exerted on an oscillating sphere near a planar wall is addressed experimentally, theoretically, and numerically. The experiments are performed by using colloidal-probe Atomic Force Microscopy (AFM) in thermal…

Thermally induced particle flow in a charged colloidal suspension is studied in a fluid-mechanical approach. The force density acting on the charged boundary layer is derived in detail. From Stokes' equation with no-slip boundary conditions…

Soft Condensed Matter · Physics 2014-01-31 S. Fayolle , T. Bickel , A. Würger

An interfacial regularized Stokeslet scheme is presented to predict the motion of solid bodies (e.g. proteins or gel-phase domains) embedded within flowing lipid bilayer membranes. The approach provides a numerical route to calculate…

Biological Physics · Physics 2019-10-23 Brian A. Camley , Frank L. H. Brown

We examine the translation and rotation of an uncharged spheroidal colloid in polar solvents (water) near a charged flat surface. We solve the nonlinear Poisson-Boltzmann equation outside of the colloid in two dimensions for all tilt angles…

Soft Condensed Matter · Physics 2019-10-16 Yoav Tsori

We present a complete reciprocal description of particle motion inside multi-component fluids that extends the conventional Onsager formulation of non-equilibrium transport to systems where the thermodynamic forces are non-uniform on the…

Soft Condensed Matter · Physics 2019-05-01 Jérôme Burelbach

Solutions to the Stokes equations written in terms of a small number of hydrodynamic image singularities have been a useful tool in theoretical and numerical computations for nearly fifty years. In this article, we extend the catalogue of…

Fluid Dynamics · Physics 2020-07-07 Alexander Chamolly , Eric Lauga

We calculate the thermophoretic drift of a charged single colloidal particle with hydrodynamically slipping surface immersed in an electrolyte solution in response to a small temperature gradient. Here, we rely on a linearized hydrodynamic…

Soft Condensed Matter · Physics 2023-04-26 Daniel B. Mayer , Dieter Braun , Thomas Franosch
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