Journal ArticleDOI
On the hydrodynamic resistance to a particle of a dilute suspension when in the neighbourhood of a large obstacle
Simon L. Goren,M. E. O'Neill +1 more
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In this paper, the hydrodynamic force on a small particle of a dilute suspension when in a slow streaming motion past a large spherical or cylindrical obstacle is estimated for the situation when the particle is moving close to the obstacle.About:
This article is published in Chemical Engineering Science.The article was published on 1971-03-01. It has received 175 citations till now. The article focuses on the topics: Obstacle.read more
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The hydrodynamic interaction of two small freely-moving spheres in a linear flow field
G. K. Batchelor,J. T. Green +1 more
TL;DR: In this article, the authors provide a systematic and explicit description of the interaction between two rigid spheres that are relevant in a calculation of the mean stress in a suspension of spherical particles subjected to bulk deformation.
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Particle–bubble collision models — a review
TL;DR: A critical review of the various models existing in the literature for the calculation of the collision efficiency between particles and single, rising gas bubbles is presented and the differences in collision efficiencies obtained were mainly explained in terms of the degree of mobility of the bubble surface.
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A direct method for studying particle deposition onto solid surfaces
T Da̧broś,T.G.M. van de Ven +1 more
TL;DR: In this article, an experimental technique has been developed to study the deposition of colloidal particles under well controlled hydrodynamic conditions, and the deposition process is observed under a microscope and recorded on video tape for further analysis.
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The Inertial Hydrodynamic Interaction of Particles and Rising Bubbles with Mobile Surfaces
TL;DR: A collision theory has been developed which accounts for the influence of positive and negative inertial forces in the case of bubbles with mobile surfaces, and the analytical equation developed is termed the generalized Sutherland equation (GSE).
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Particle deposition on ideal collectors from dilute flowing suspensions: Mathematical formulation, numerical solution, and simulations
TL;DR: In this article, the authors present the quantitative formulation of the convective diffusion equation for particle deposition in ideal deposition systems, including the rotating disk, stagnation point flow, parallel-plate channel, isolated sphere, and a porous medium composed of uniform spheres.
References
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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.
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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.
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A Slow motion of viscous liquid caused by a slowly moving solid sphere
TL;DR: In this paper, a slow steady motion of incompressible viscous liquid bounded by an infinite rigid plane is generated when a rigid sphere of radius a moves steadily without rotation in a direction parallel to, and at a distance d from, the plane.
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The Stokes resistance of an arbitrary particle—IV Arbitrary fields of flow
TL;DR: In this paper, a phenomenological scheme is formulated for calculating the quasistatic Stokes force and torque on a rigid particle of any shape immersed in a flow field which tends to an arbitrary Stokes flow at infinity.
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The slow motion of two identical arbitrarily oriented spheres through a viscous fluid
TL;DR: In this article, the terminal settling motion of two identical, homogeneous, unconstrained spheres in an unbounded fluid at small Reynolds numbers was determined by computing the linear and angular velocities of the spheres as a function of their relative separation and of the orientation of their line of center relative to the direction of gravity.