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Title:  Inertial Effects on Particle Interactions in Viscous Flows (fluidSolid, Low Reynolds Number) 
Author(s):  Adamides, Adamos 
Department / Program:  Chemical Engineering 
Discipline:  Chemical Engineering 
Degree Granting Institution:  University of Illinois at UrbanaChampaign 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  Engineering, Chemical 
Abstract:  The interactions between two equal spheres fixed in a viscous uniform flow are investigated. Using matched asymptotic expansions, assuming that both particles are within each other's inner domain and applying Stokes flow techniques the first inertial correction to the Stokes velocity and pressure fields and the corresponding force for each particle are evaluated to O(R(epsilon)('2)), where R is the particle Reynolds number and (epsilon) is the ratio of the radius to the distance between the spheres. For an arbitrary configuration and difference between the forces on each sphere has a component parallel to the uniform flow (DELTA)F(,1) = 221/24 (pi)R(epsilon)('3)(3(epsilon)('2)y(,1)('3)y(,1)) and a component normal to the flow (DELTA)F(,2) = 1/600 (pi)R(epsilon)('3)(16575(epsilon)('2)y(,1)('2)3713)(gamma)(,2) where the origin is at the center of the one sphere and (gamma) denotes the position vector of the second sphere made nondimensional with the radius. 
Issue Date:  1986 
Type:  Text 
Description:  146 p. Thesis (Ph.D.)University of Illinois at UrbanaChampaign, 1986. 
URI:  http://hdl.handle.net/2142/69765 
Other Identifier(s):  (UMI)AAI8610896 
Date Available in IDEALS:  20141215 
Date Deposited:  1986 
This item appears in the following Collection(s)

Dissertations and Theses  Chemical and Biomolecular Engineering
Dissertations and Theses  Chemical and Biomolecular Engineering 
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois