The creeping motion of a body between two parallel planes with application to osmosis in biological membranes.
Item
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Title
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The creeping motion of a body between two parallel planes with application to osmosis in biological membranes.
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Identifier
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AAI9417518
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identifier
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9417518
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Creator
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Yu, Zhihai.
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Contributor
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Adviser: Peter Ganatos
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Date
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1993
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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 | Biophysics, General
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Abstract
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A strong interaction theory for the hydrodynamic interaction of an arbitrarily shaped particle in a channel is presented and the solutions are applied to a model for osmosis in biological membranes.;Part one of the dissertation contains a derivation of the fundamental solution for a point force between two parallel planes, which analytically satisfies the no-slip conditions on the planes. This fundamental solution is approximated in closed form with a maximum relative error of 1.2%. The closed form of the solution is an important feature which makes it computationally feasible to apply the boundary integral method to the problem of an arbitrarily shaped rigid body moving in an arbitrary direction between two parallel planes.;The second part of the thesis contains an intensive study of the motion of a spheroidal particle between two parallel walls under various Stokes flow conditions using the boundary integral method with the fundamental solution developed in part one. The accuracy of the solution technique is first tested by comparison with the existing strong interaction theory for the motion of a sphere moving between two plane walls, the asymptotic solutions for a spheroidal particle between two parallel walls at large particle-wall spacings and the strong interaction solutions for the motion of a spheroidal particle adjacent to a single planar boundary. Good agreement was obtained with all existing solutions in the range where the existing theories are valid. Numerical results are then presented for the force and torque acting on a spheroidal particle in a channel as a function of wall spacing, particle position, orientation (including azimuthal orientation) and aspect ratio.;The last part of the dissertation, which is the primary motive of the present research, contains an application of the theory to predict values of the reflection coefficient and the diffusive permeability for osmosis in biological membranes. For the first time the hydrodynamic theory used to predict these coefficients includes the effect of the shape and orientation of the solute particle.
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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.
