HYDRODYNAMIC INTERACTION OF AN ARBITRARY PARTICLE WITH A PLANAR WALL AT LOW REYNOLDS NUMBER.
Item
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Title
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HYDRODYNAMIC INTERACTION OF AN ARBITRARY PARTICLE WITH A PLANAR WALL AT LOW REYNOLDS NUMBER.
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Identifier
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AAI8611351
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identifier
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8611351
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Creator
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HSU, RICHARD SHENG-CHUIN.
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Contributor
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Peter Ganatos
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Date
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1986
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Language
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English
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Publisher
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City University of New York.
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Subject
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Engineering, Mechanical
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Abstract
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This thesis deals with the creeping motion of an arbitrary body of revolution immersed in a viscous fluid adjacent to a planar wall. The formulation is based on the boundary integral method. The singular solution to the Stokes equations in the presence of a planar wall is used to formulate the integral equations, which are solved numerically by the boundary collocation and weighted residual techniques. The solution for the special case of a spherical particle is compared with the exact solution and found to be in good agreement for sphere-to-wall gap widths as close as one tenth of the sphere radius. The resistance tensor is accurately calculated for oblate and prolate spheroids with varying aspect ratio, a torus and a biconcave shaped body.;The motion of a neutrally buoyant spheroid in shear flow next to a planar wall and the settling motion of a spheroid under gravity adjacent to a inclined plane are examined. The neutrally buoyant spheroid undergoes a periodical motion toward and away from the wall as it continuously tumbles forward. A spheroid setting under gravity near an inclined plane will reach an equilibrium position for certain inclinations, after which it will translate parallel to the wall without rotation.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
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Program
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Engineering
