Steady azimuthal flow field induced by a rotating sphere near a rigid disk or inside a gap between two coaxially positioned rigid disks
Abdallah Daddi-Moussa-Ider,Abdallah Daddi-Moussa-Ider,Alexander R. Sprenger,Thomas Richter,Hartmut Löwen,Andreas M. Menzel +5 more
TLDR
In this article, the authors investigated the viscous azimuthal flow induced by the slow rotation of a small spherical particle located in the vicinity of a rigid no-slip disk or inside a gap between two coaxially positioned rigid noslip disks of the same radius.Abstract:
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 investigate theoretically and computationally the viscous azimuthal flow induced by the slow rotation of a small spherical particle located in the vicinity of a rigid no-slip disk or inside a gap between two coaxially positioned rigid no-slip disks of the same radius. We formulate the solution of the hydrodynamic problem as a mixed-boundary-value problem in the whole fluid domain, which we subsequently transform into a system of dual integral equations. Near a stationary disk, we show that the resulting integral equation can be reduced into an elementary Abel integral equation that admits a unique analytical solution. Between two coaxially positioned stationary disks, we demonstrate that the flow problem can be transformed into a system of two Fredholm integral equations of the first kind. The latter are solved by means of numerical approaches. Using our solution, we further investigate the effect of the disks on the slow rotational motion of a colloidal particle and provide expressions of the hydrodynamic mobility as a function of the system geometry. We compare our results with corresponding finite-element simulations and observe very good agreement.read more
Citations
More filters
Posted Content
Diffusiophoretic propulsion of an isotropic active colloidal particle near a finite-sized disk embedded in a planar fluid-fluid interface
TL;DR: In this article, a far-field analytical model is employed to quantify the leading-order contribution to the induced phoretic velocity of a chemically homogeneous isotropic active colloid near a finite-sized disk of circular shape resting on an interface separating two immiscible viscous incompressible Newtonian fluids.
Journal ArticleDOI
Stokeslet parallèle entre deux disques rigides antidérapants positionnés de manière coaxiale : une approche aux équations intégrales duales
TL;DR: HAL as discussed by the authors is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Journal ArticleDOI
Pair Interaction between Two Catalytically Active Colloids.
Priyanka Sharan,Abdallah Daddi-Moussa-Ider,Jaime Agudo-Canalejo,Ramin Golestanian,Juliane Simmchen +4 more
TL;DR: In this paper , two contrasting types of colloidal microswimmers are studied, which move in opposite directions and show distinctly different interactions, and a theoretical model for interparticle interactions near a substrate is developed, including both phoretic and hydrodynamic effects, which reproduce their behavior.
Journal ArticleDOI
Axisymmetric monopole and dipole flow singularities in proximity of a stationary no-slip plate immersed in a Brinkman fluid
TL;DR: In this paper , the axisymmetric low-Reynolds-number Brinkman flow induced by monopole and dipole singularities in proximity of a stationary plate of circular shape is theoretically investigated.
Journal ArticleDOI
Variable viscous flow resistance based on rotational inertia
TL;DR: In this article , a new design of variable viscous flow resistance is proposed, which uses two disks to construct a slit flow channel, and rotate one of the disks to drive the fluid in the slit flow channels to form a rotational inertia effect.
References
More filters
Journal ArticleDOI
Hydrodynamic attraction of swimming microorganisms by surfaces
TL;DR: It is demonstrated theoretically that hydrodynamic interactions of the swimming cells with solid surfaces lead to their reorientation in the direction parallel to the surfaces, as well as their attraction by the closest wall, which compares favorably with measurements.
Journal ArticleDOI
A note on the image system for a stokeslet in a no-slip boundary
TL;DR: In this article, the Fourier transform was used to obtain the image system required to satisfy the no-slip condition on the boundary of a stationary plane boundary, which consists of a stokeslet equal in magnitude but opposite in sign to the initial Stokeslet, a stoke doublet and a source doublet, the displacement axes for the doublets being in the original direction of the force.
Journal ArticleDOI
Fast DNA Translocation through a Solid-State Nanopore
Arnold J. Storm,Cornelis Storm,Jianghua Chen,Henny W. Zandbergen,Jean-François Joanny,Cees Dekker +5 more
TL;DR: A theoretical model where hydrodynamic drag on the ection of the polymer outside the pore is the dominant force counteracting the electrical driving force is presented, and a power-law scaling with an exponent of 1.22 is derived in good agreement with the data.
Journal ArticleDOI
Biofilm streamers cause catastrophic disruption of flow with consequences for environmental and medical systems.
TL;DR: It is demonstrated that flow through soil-like porous materials, industrial filters, and medical stents dramatically modifies the morphology of Pseudomonas aeruginosa biofilms to form 3D streamers, which, over time, bridge the spaces between obstacles and corners in nonuniform environments.
Journal ArticleDOI
Flow-induced clustering and alignment of vesicles and red blood cells in microcapillaries.
TL;DR: This model combines a particle-based mesoscale simulation technique for the fluid hydrodynamics with a triangulated-membrane model and shows that already at very low HT, the deformability of RBCs implies a flow-induced cluster formation above a threshold flow velocity.