Book ChapterDOI
The role of lift in the radial migration of particles in a pipe flow
Martin T Lawler,Pau-Chang Lu +1 more
- pp 39-57
TLDR
In this paper, the motion of small spherical particles suspended in a fluid undergoing laminar flow through a circular pipe is considered and the lift force acting on the particles must be the major reason behind the phenomenon of radial migration.Abstract:
The motion of small spherical particles suspended in a fluid undergoing laminar flow through a circular pipe is considered. Under various conditions, the particles are observed to migrate radially across the pipe. It is concluded that the lift force acting on the particles must be the major reason behind the phenomenon of radial migration. A model for the lift force is proposed and applied to the problem of calculating particle trajectories. The equations of motion are formulated and solved by numerical means. Comparison of calculated and experimental trajectories indicates that the model is capable of explaining the various modes of radial migration which have been observed. The need for better description of the unsteady drag forces on particles as well as characterization of the effect of the pipe wall is indicated.read more
Citations
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Journal ArticleDOI
The transverse migration of bubbles influenced by walls in vertical bubbly flow
Journal ArticleDOI
Lift force in bubbly flow systems
Takashi Hibiki,Mamoru Ishii +1 more
TL;DR: In this article, the lift force in a single particle system was modeled by considering the effect of bubble deformation on the lift forces, and the applicability of the model to higher particle Reynolds number system such as an air-water system was qualitatively examined.
Journal ArticleDOI
Modelling of Particle Paths passing through an Ultrasonic standing wave
TL;DR: A particle model has been developed, extending an earlier model used to characterise the 1-dimensional field in a layered resonator to investigate the acoustic and fluid forces in an ultrasonic standing wave system, and the model is extended to analyse particle separation over a frequency range.
Journal ArticleDOI
The Fluid Mechanics of Two-Phase Solid-Liquid Food Flows: A Review
TL;DR: In this article, a comprehensive review of the existing knowledge on the fluid mechanics of two phase solid-liquid flows which largely emanates from the process engineering literature, and discusses its exploitation in continuous food processing is presented.
Journal ArticleDOI
Numerical calculations of two-phase flow in a liquid bath with bottom gas injection: The central plume
TL;DR: In this paper, a two-phase flow resulting from bottom injection of gas into a liquid bath, constrained to be axisymmetric, is modelled by governing equations that incorporate the virtual mass and particle lift forces and a diffusive interfacial force.
References
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Journal ArticleDOI
The lift on a small sphere in a slow shear flow
TL;DR: In this article, it was shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to streamline through the centre, experiences a lift force 81·2μVa2k½/v½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamline moving in the direction opposite to V.
Journal ArticleDOI
Radial Particle Displacements in Poiseuille Flow of Suspensions
G. Segré,A. Silberberg +1 more
Journal ArticleDOI
The transverse force on a spinning sphere moving in a viscous fluid
S. I. Rubinow,Joseph B. Keller +1 more
TL;DR: In this article, the Stokes and Oseen expansions of the Oseen equation are used to calculate the transverse force of a spinning sphere in a viscous fluid, which is in such a direction as to account for the curving of a pitched baseball, the long range of a flying golf ball, etc.
Journal ArticleDOI
Forces on a sphere accelerating in a viscous fluid
Fuat Odar,Wallis S. Hamilton +1 more
TL;DR: In this article, a detailed equation for the force exerted on a sphere that accelerates rectilinearly in an otherwise still fluid is proposed, which reduces to the known theoretical solution for low velocity and large acceleration.
Journal ArticleDOI
The flow of suspensions through tubes: V. Inertial effects
TL;DR: The behavior of particles undergoing Couette and Poiseuille flows at rates when inertial effects become significant was investigated in this paper, where the rotation of rigid particles was similar to that in the Stokes flow regime, except for a drift of cylinders to limiting rotational orbits corresponding to the maximum energy dissipation.