On the equation for spherical-particle motion: effect of Reynolds and acceleration numbers

I Kim, S Elghobashi, WA Sirignano - Journal of Fluid Mechanics, 1998 - cambridge.org
The existing model equations governing the accelerated motion of a spherical particle are
examined and their predictions compared with the results of the numerical solution of the full …

Effect of the history term on the motion of rigid spheres in a viscous fluid

DJ Vojir, EE Michaelides - International journal of multiphase flow, 1994 - Elsevier
The inclusion of the history term (often called “the Basset term”) in the equation of motion of
a sphere makes this equation non-explicit in the velocity or acceleration. For this reason, the …

Steady viscous flow past a sphere at high Reynolds numbers

B Fornberg - Journal of Fluid Mechanics, 1988 - cambridge.org
Steady viscous flow past a sphere at high Reynolds numbers Page 1 .I Flmd Nl.3Pth (1988).
ool 190 pp 471489 Prrnted in Great Brztarn 471 Steady viscous flow past a sphere at high …

The effect of Reynolds number on the dynamics and wakes of freely rising and falling spheres

M Horowitz, CHK Williamson - Journal of Fluid Mechanics, 2010 - cambridge.org
In this paper, we study the effect of the Reynolds number (Re) on the dynamics and vortex
formation modes of spheres rising or falling freely through a fluid (where Re= 100–15000) …

Flow due to an oscillating sphere and an expression for unsteady drag on the sphere at finite Reynolds number

R Mei - Journal of Fluid Mechanics, 1994 - cambridge.org
Unsteady flow due to an oscillating sphere with a velocity U0cosωt', in which U0 and ω are
the amplitude and frequency of the oscillation and t'is time, is investigated at finite Reynolds …

Unsteady flow about a sphere at low to moderate Reynolds number. Part 2. Accelerated motion

EJ Chang, MR Maxey - Journal of Fluid Mechanics, 1995 - cambridge.org
A full numerical simulation based on spectral methods is used to investigate linearly
accelerating and decelerating flows past a rigid sphere. Although flow separation does not …

Unsteady motion of two solid spheres in Stokes flow

AM Ardekani, RH Rangel - Physics of Fluids, 2006 - pubs.aip.org
This study is concerned with the unsteady motion of two solid spherical particles in an
unbounded incompressible Newtonian flow. The background flow is uniform and can be …

Steady planar straining flow past a rigid sphere at moderate Reynolds number

P Bagchi, S Balachandar - Journal of Fluid Mechanics, 2002 - cambridge.org
This study focuses on the effect of spatial non-uniformity in the ambient flow on the forces
acting on a spherical particle at moderate particle Reynolds numbers. A scaling analysis is …

Motion of spheroid particles in shear flow with inertia

W Mao, A Alexeev - Journal of fluid mechanics, 2014 - cambridge.org
In this article, we investigate the motion of a solid spheroid particle in a simple shear flow.
Using a lattice Boltzmann method, we examine individual effects of fluid inertia and particle …

Path oscillations and enhanced drag of light rising spheres

F Auguste, J Magnaudet - Journal of Fluid Mechanics, 2018 - cambridge.org
The dynamics of light spheres rising freely under buoyancy in a large expanse of viscous
fluid at rest at infinity is investigated numerically. For this purpose, the computational …