{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/69765"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/69765","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Inertial Effects on Particle Interactions in Viscous Flows (fluid-Solid, Low Reynolds Number)","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 non-dimensional with the radius.","abstract_html":"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.","abstract_has_math":false,"creators":["Adamides, Adamos"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Chemical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-15T19:54:28Z","date_published":"2014-12-15T19:54:28Z","updated_at":"2026-07-22T22:26:01Z","subjects":["Engineering, Chemical"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8610896"],"render_values":[{"text":"(UMI)AAI8610896","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/69765","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Adamides, Adamos"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-15T19:54:28Z","10000-01-01","1986"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Chemical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Chemical"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/69765","(UMI)AAI8610896"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Made available in DSpace on 2014-12-15T19:54:28Z (GMT). No. of bitstreams: 1 8610896.pdf: 3284310 bytes, checksum: 1b4bfc45ed32b0d9003f02cb65d5796a (MD5) Previous issue date: 1986","Embargo set by: Seth Robbins for item 69931 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","146 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986."]},{"key":"dc:title","label":"Title","values":["Inertial Effects on Particle Interactions in Viscous Flows (fluid-Solid, Low Reynolds Number)"]}]}],"canonical_facts":{"dc:creator":["Adamides, Adamos"],"dc:date":["2014-12-15T19:54:28Z","10000-01-01","1986"],"dc:description":["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.","Made available in DSpace on 2014-12-15T19:54:28Z (GMT). No. of bitstreams: 1 8610896.pdf: 3284310 bytes, checksum: 1b4bfc45ed32b0d9003f02cb65d5796a (MD5) Previous issue date: 1986","Embargo set by: Seth Robbins for item 69931 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","146 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986."],"dc:identifier":["http://hdl.handle.net/2142/69765","(UMI)AAI8610896"],"dc:subject":["Engineering, Chemical"],"dc:title":["Inertial Effects on Particle Interactions in Viscous Flows (fluid-Solid, Low Reynolds Number)"],"dc:type":["text"],"thesis:degree_discipline":["Chemical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:01Z"}