{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/16742"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/16742","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles","abstract":"Made available in DSpace on 2010-08-20T17:56:31Z (GMT). No. of bitstreams: 3 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5) 1_Higa_Kenneth.pdf: 2312665 bytes, checksum: aef11826adce2877b64cc45c9460c85f (MD5) license.txt: 4059 bytes, checksum: b2146ed29f6bd5c34c1f6d0f90262a39 (MD5)","abstract_html":"Made available in DSpace on 2010-08-20T17:56:31Z (GMT). No. of bitstreams: 3 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5) 1_Higa_Kenneth.pdf: 2312665 bytes, checksum: aef11826adce2877b64cc45c9460c85f (MD5) license.txt: 4059 bytes, checksum: b2146ed29f6bd5c34c1f6d0f90262a39 (MD5)","abstract_has_math":false,"creators":["Higa, Kenneth F."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Chemical Engineering","degree_department":null,"school":null,"contributors":["Higdon, Jonathan J.L.","Schweizer, Kenneth S.","Rao, Christopher V.","Schroeder, Charles M."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-08-20T17:56:31Z","date_published":"2010-08-20T17:56:31Z","updated_at":"2026-07-22T22:25:09Z","subjects":["Elastohydrodynamic","Elastic Particle","Lubrication","Suspension","Integro-differential","Algorithm"],"languages":["en"],"rights":["Copyright 2010 Kenneth F. Higa"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/16742","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Higdon, Jonathan J.L.","Schweizer, Kenneth S.","Rao, Christopher V.","Schroeder, Charles M."]},{"key":"dc:creator","label":"Author","values":["Higa, Kenneth F."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2010-08-20T17:56:31Z","2010-08"]},{"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":["Elastohydrodynamic","Elastic Particle","Lubrication","Suspension","Integro-differential","Algorithm"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 Kenneth F. Higa"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/16742"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Made available in DSpace on 2010-08-20T17:56:31Z (GMT). No. of bitstreams: 3 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5) 1_Higa_Kenneth.pdf: 2312665 bytes, checksum: aef11826adce2877b64cc45c9460c85f (MD5) license.txt: 4059 bytes, checksum: b2146ed29f6bd5c34c1f6d0f90262a39 (MD5)","\"We present in this work a fast nonlinear method which approximately solves an integro-partial differential equation that describes the dominant elastohydrodynamic lubrication interaction between two elastic spheres in a Newtonian fluid. This governing equation was given by Christensen [7], Goddard [13], and Davis, Serayssol, and Hinch (DSH) [8]. Our approximate method is intended for inclusion in highly accurate, large-scale simulations of concentrated suspensions of deformable particles. This method inherits all of the assumptions made in the derivation elastohydrodynamic equation, including the restriction to linearly-elastic deformation of smooth particles in a Newtonian fluid with no-slip boundary conditions, and consideration of relative motion only along the axis of symmetry. The approximate solutions are characterized by a variable number of parameters, whose number may be chosen to balance accuracy and speed. This method shows good accuracy and stability over a wide range of conditions. We present selected simulation results which provide a qualitative understanding of hydrodynamic collisions of elastic spheres. These interactions differ markedly from those between rigid spheres. They are strongly dependent on deformation history and display a short-lived \"\"sticking\"\" behavior, which in extreme cases takes the form of a unique \"\"peeling\"\" separation process.\"","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-07-09T18:50:29Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5)"]},{"key":"dc:title","label":"Title","values":["A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles"]}]}],"canonical_facts":{"dc:contributor":["Higdon, Jonathan J.L.","Schweizer, Kenneth S.","Rao, Christopher V.","Schroeder, Charles M."],"dc:creator":["Higa, Kenneth F."],"dc:date":["2010-08-20T17:56:31Z","2010-08"],"dc:description":["Made available in DSpace on 2010-08-20T17:56:31Z (GMT). No. of bitstreams: 3 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5) 1_Higa_Kenneth.pdf: 2312665 bytes, checksum: aef11826adce2877b64cc45c9460c85f (MD5) license.txt: 4059 bytes, checksum: b2146ed29f6bd5c34c1f6d0f90262a39 (MD5)","\"We present in this work a fast nonlinear method which approximately solves an integro-partial differential equation that describes the dominant elastohydrodynamic lubrication interaction between two elastic spheres in a Newtonian fluid. This governing equation was given by Christensen [7], Goddard [13], and Davis, Serayssol, and Hinch (DSH) [8]. Our approximate method is intended for inclusion in highly accurate, large-scale simulations of concentrated suspensions of deformable particles. This method inherits all of the assumptions made in the derivation elastohydrodynamic equation, including the restriction to linearly-elastic deformation of smooth particles in a Newtonian fluid with no-slip boundary conditions, and consideration of relative motion only along the axis of symmetry. The approximate solutions are characterized by a variable number of parameters, whose number may be chosen to balance accuracy and speed. This method shows good accuracy and stability over a wide range of conditions. We present selected simulation results which provide a qualitative understanding of hydrodynamic collisions of elastic spheres. These interactions differ markedly from those between rigid spheres. They are strongly dependent on deformation history and display a short-lived \"\"sticking\"\" behavior, which in extreme cases takes the form of a unique \"\"peeling\"\" separation process.\"","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-07-09T18:50:29Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Higa_Kenneth.pdf: 2312620 bytes, checksum: ec5ce7a5b2725293e6f6bfeb9258614c (MD5)"],"dc:identifier":["http://hdl.handle.net/2142/16742"],"dc:language":["en"],"dc:rights":["Copyright 2010 Kenneth F. Higa"],"dc:subject":["Elastohydrodynamic","Elastic Particle","Lubrication","Suspension","Integro-differential","Algorithm"],"dc:title":["A fast algorithm for approximating hydrodynamic lubrication interactions between elastic particles"],"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":"2026-07-22T22:25:09Z"}