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In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

We investigate 3-dimensional flagellar swimming in a fluid with a sparse network of stationary obstacles or fibers. The Brinkman equation is used to model the average fluid flow where a flow-dependent term, including a resistance parameter…

Fluid Dynamics · Physics 2019-03-27 Nguyenho Ho , Karin Leiderman , Sarah Olson

We investigate the linear properties of the steady and axisymmetric stress-driven spin-down flow of a viscous fluid inside a spherical shell, both within the incompressible and anelastic approximations, and in the asymptotic limit of small…

Fluid Dynamics · Physics 2020-12-02 Damien Gagnier , Michel Rieutord

Geometric confinements play an important role in many physical and biological processes and significantly affect the rheology and behavior of colloidal suspensions at low Reynolds numbers. On the basis of the linear Stokes equations, we…

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…

Fluid Dynamics · Physics 2020-03-30 B. D. Goddard , R. D. Mills-Williams , J. Sun

Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

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 paper presents a workflow for fast pore-scale simulation of single-phase flow in tight reservoirs typically characterized by low, multiscale porosity. Multiscale porosity implies that the computational domain contains porous voxels…

The evaporation of a drop from a liquid subphase is investigated. The two liquids are immiscible, and the contact angles between them are given by the Neumann construction. The evaporation of the drop gives rise to flows in both liquids,…

Fluid Dynamics · Physics 2015-02-10 Hanneke Gelderblom , Howard A. Stone , Jacco H. Snoeijer

The swimming of a spheroid immersed in a viscous fluid and performing surface deformations periodically in time is studied on the basis of Stokes equations of low Reynolds number hydrodynamics. The average over a period of time of the…

Fluid Dynamics · Physics 2016-11-23 B. U. Felderhof

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

In swimming microorganisms and the cell cytoskeleton, inextensible fibers resist bending and twisting, and interact with the surrounding fluid to cause or resist large-scale fluid motion. In this paper, we develop a novel numerical method…

Numerical Analysis · Mathematics 2022-04-11 Ondrej Maxian , Brennan Sprinkle , Charles S. Peskin , Aleksandar Donev

Typical bodily and environmental fluids encountered by biological swimmers consist of dissolved macromolecules such as proteins and polymers, often rendering them non Newtonian. To mimic such scenarios, we investigate the motion of swimming…

Soft Condensed Matter · Physics 2023-05-23 Prateek Dwivedi , Atishay Shrivastava , Dipin Pillai , Rahul Mangal

The dynamics of fluid vesicles in simple shear flow is studied using mesoscale simulations of dynamically-triangulated surfaces, as well as a theoretical approach based on two variables, a shape parameter and the inclination angle, which…

Soft Condensed Matter · Physics 2015-06-25 Hiroshi Noguchi , Gerhard Gompper

Guiding active microswimmers by external fields to requested target locations is a promising strategy to realize complex transport on the microscale. To this end, one possibility consists of attaching the microswimmers to orientable passive…

Fluid Dynamics · Physics 2020-02-19 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Hartmut Löwen , Andreas M. Menzel

We investigate the motion of a thin rigid body in Stokes flow and the corresponding slender body approximation used to model sedimenting fibers. In particular, we derive a rigorous error bound comparing the rigid slender body approximation…

Analysis of PDEs · Mathematics 2020-03-17 Yoichiro Mori , Laurel Ohm

Active droplets are artificial microswimmers built from a liquid dispersion by microfluidic tools and showing self-propelled motion. These systems hold particular interest for mimicking biological phenomena, such as some aspects of cell…

Soft Condensed Matter · Physics 2023-06-14 Adriano Tiribocchi , Mihir Durve , Marco Lauricella , Andrea Montessori , Davide Marenduzzo , Sauro Succi

We present a generalisation of efficient numerical frameworks for modelling fluid-filament interactions via the discretisation of a recently-developed, non-local integral equation formulation to incorporate regularised Stokeslets with…

Fluid Dynamics · Physics 2019-10-02 Benjamin J. Walker , Kenta Ishimoto , Hermes Gadêlha , Eamonn A. Gaffney

Left-right symmetry breaking is critical to vertebrate embryonic development; in many species this process begins with cilia-driven flow in a structure termed the `node'. Primary `whirling' cilia, tilted towards the posterior, transport…

Fluid Dynamics · Physics 2010-07-13 David J. Smith , Andrew A. Smith , John R. Blake

The dynamics of a stiff filament (made by connecting beads) embedded in size-polydisperse hard sphere fluid is investigated by means of molecular dynamics simulations with focus on how the degree of size-polydispersity, characterized by…

Soft Condensed Matter · Physics 2025-03-06 Thokchom Premkumar Meitei , Lenin S. Shagolsem
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