Journal ArticleDOI
Forces and torques on a sphere moving near a dihedral corner in creeping flow
Reads0
Chats0
TLDR
In this paper, the low Reynolds-number flow past a sphere moving near a right dihedral corner made by a stationary and a tangentially sliding wall is considered using the superposition principle, the arbitrary motion of the sphere is decomposed into simple elementary motions.Abstract:
The low-Reynolds-number flow past a sphere moving near a right dihedral corner made by a stationary and a tangentially sliding wall is considered. Using the superposition principle, the arbitrary motion of the sphere is decomposed into simple elementary motions. Fully-resolved spectral-element simulations are carried out in the frame of reference translating and rotating with the particle such that the velocity on the particle’s surface vanishes. Forces and torques on the sphere are obtained as functions of the particle position near the corner. The data obtained are fitted by closed-form expressions which take into account symmetries of the problem, exact solutions, and asymptotic solutions from lubrication theory. The correlations obtained can easily be implemented in larger-scale one-way-coupled particulate-flow simulations to correct the particle motion near dihedral corners where mere point-particle models break down.read more
Citations
More filters
Journal Article
Formation of dynamic particle accumulation structures in oscillatory thermocapillary flow in liquid bridges
TL;DR: In this paper, the behavior of small particles of dilute concentration in time-dependent (oscillatory) thermocapillary flow in cylindrical liquid bridges is described.
Journal ArticleDOI
Slow rotation of a spherical particle in an eccentric spherical cavity with slip surfaces
Chin Y. Chou,Huan J. Keh +1 more
TL;DR: In this paper, a semi-analytical study of the steady flow around a spherical particle rotating in an incompressible Newtonian fluid inside an eccentric spherical cavity with slip surfaces about their common diameter is presented at low Reynolds numbers.
Journal ArticleDOI
Attractors for the motion of a finite-size particle in a two-sided lid-driven cavity
TL;DR: In this paper, the motion of a single spherical particle in a two-sided lid-driven cavity is investigated experimentally, where the flow in which the particle moves is created by two facing cavity sidewalls which move with equal velocity in opposite directions.
Journal ArticleDOI
Finite-size coherent particle structures in high-Prandtl-number liquid bridges
TL;DR: In this article, the intricate Kolmogorov-Arnold-Moser (KAM) structure of the fluid flow is unraveled for several Reynolds numbers for flows periodic in time and space.
Journal ArticleDOI
Low-Reynolds-number rotation of a soft particle inside an eccentric cavity
Chin Y. Chou,Huan J. Keh +1 more
TL;DR: In this paper, the steady low Reynolds number rotation of a spherical soft particle (a hard core coated with a permeable porous layer) in a viscous fluid within a nonconcentric spherical cavity about their common diameter is semi-analytically studied.
References
More filters
Journal ArticleDOI
Equation of motion for a small rigid sphere in a nonuniform flow
Martin R. Maxey,James J. Riley +1 more
TL;DR: In this paper, the forces on a small rigid sphere in a nonuniform flow are considered from first prinicples in order to resolve the errors in Tchen's equation and the subsequent modified versions that have since appeared.
Book
Low Reynolds number hydrodynamics : with special applications to particulate media
John Happel,Howard Brenner +1 more
TL;DR: The Navier-Stokes equations can be employed for useful practical applications beyond the elementary problems of laminar flow in pipes and Stokes law for the motion of a single particle as mentioned in this paper.
Journal ArticleDOI
The slow motion of a sphere through a viscous fluid towards a plane surface
TL;DR: In this paper, bipolar co-ordinates are employed to obtain exact solutions of the equations of slow viscous flow for the steady motion of a solid sphere towards or away from a plane surface of infinite extent.
Journal ArticleDOI
Slow viscous motion of a sphere parallel to a plane wall—I Motion through a quiescent fluid
TL;DR: Asymptotic solutions of the Stokes equations are derived for both the translational and rotational motions of a sphere parallel to a plane wall bounding a semi-infinite, quiescent, viscous fluid in the limit where the gap width tends to zero as discussed by the authors.
Journal ArticleDOI
Slow viscous motion of a sphere parallel to a plane wall—II Couette flow
TL;DR: Using bipolar co-ordinates, an exact solution of Stokes equations was obtained for the translational and rotational velocities of a neutrally buoyant sphere moving in proximity to a single plane wall under the influence of a simple shearing flow as mentioned in this paper.