Inertial Effects on Particle Interactions in Viscous Flows (fluid-Solid, Low Reynolds Number)

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 non-dimensional with the radius.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Chemical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Adamides, Adamos

• Engineering, Chemical

Identifier

(UMI)AAI8610896

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69765