{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19022"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19022","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Periodic cell models of flow through porous media","abstract":"Model problems are analyzed to study the microscopic flow within porous media. In Part 1, the primary focus is on the flow near the surface of a porous body. The idealized system consists of two-dimensional media of infinite and semi-infinite periodic lattices of cylindrical inclusions. The solution of Stokes flow in these complicated geometries is accomplished through the boundary-integral method. Results are discussed in the context of macroscopic approaches such as slip coefficients and Brinkman's equation. In Part 2, calculations are presented for a periodic three-dimensional model of porous media consisting of consolidated grains. The model is an extension of previous works on lattices of spheres. In this work, the radius of the spheres is allowed to increase past the point of close touching to form a consolidated media. A collocation method is used for the solution of Stokes flow in terms of Lamb's general solution in spherical coordinates. Results are presented for drag coefficients and permeability for the full range of void fraction.","abstract_html":"Model problems are analyzed to study the microscopic flow within porous media. In Part 1, the primary focus is on the flow near the surface of a porous body. The idealized system consists of two-dimensional media of infinite and semi-infinite periodic lattices of cylindrical inclusions. The solution of Stokes flow in these complicated geometries is accomplished through the boundary-integral method. Results are discussed in the context of macroscopic approaches such as slip coefficients and Brinkman's equation. In Part 2, calculations are presented for a periodic three-dimensional model of porous media consisting of consolidated grains. The model is an extension of previous works on lattices of spheres. In this work, the radius of the spheres is allowed to increase past the point of close touching to form a consolidated media. A collocation method is used for the solution of Stokes flow in terms of Lamb's general solution in spherical coordinates. Results are presented for drag coefficients and permeability for the full range of void fraction.","abstract_has_math":false,"creators":["Larson, Robert Earl"],"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":2011,"date_issued":"2011-05-07T11:54:36Z","date_published":"2011-05-07T11:54:36Z","updated_at":"2026-07-22T22:25:12Z","subjects":["Chemical Engineering"],"languages":["eng"],"rights":["Copyright 1989 Larson, Robert Earl"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI8924875","(UMI)AAI8924875"],"render_values":[{"text":"AAI8924875","href":null,"code":true},{"text":"(UMI)AAI8924875","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19022","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Larson, Robert Earl"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T11:54:36Z","10000-01-01","1989"]},{"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":["Chemical Engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Larson, Robert Earl"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI8924875","(UMI)AAI8924875","http://hdl.handle.net/2142/19022"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Model problems are analyzed to study the microscopic flow within porous media. In Part 1, the primary focus is on the flow near the surface of a porous body. The idealized system consists of two-dimensional media of infinite and semi-infinite periodic lattices of cylindrical inclusions. The solution of Stokes flow in these complicated geometries is accomplished through the boundary-integral method. Results are discussed in the context of macroscopic approaches such as slip coefficients and Brinkman's equation. In Part 2, calculations are presented for a periodic three-dimensional model of porous media consisting of consolidated grains. The model is an extension of previous works on lattices of spheres. In this work, the radius of the spheres is allowed to increase past the point of close touching to form a consolidated media. A collocation method is used for the solution of Stokes flow in terms of Lamb's general solution in spherical coordinates. Results are presented for drag coefficients and permeability for the full range of void fraction.","Made available in DSpace on 2011-05-07T11:54:36Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 8924875.pdf: 3400922 bytes, checksum: 610016021c27fcab6ed39dd4aa2bd998 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:34:07Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:12:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Periodic cell models of flow through porous media"]}]}],"canonical_facts":{"dc:creator":["Larson, Robert Earl"],"dc:date":["2011-05-07T11:54:36Z","10000-01-01","1989"],"dc:description":["Model problems are analyzed to study the microscopic flow within porous media. In Part 1, the primary focus is on the flow near the surface of a porous body. The idealized system consists of two-dimensional media of infinite and semi-infinite periodic lattices of cylindrical inclusions. The solution of Stokes flow in these complicated geometries is accomplished through the boundary-integral method. Results are discussed in the context of macroscopic approaches such as slip coefficients and Brinkman's equation. In Part 2, calculations are presented for a periodic three-dimensional model of porous media consisting of consolidated grains. The model is an extension of previous works on lattices of spheres. In this work, the radius of the spheres is allowed to increase past the point of close touching to form a consolidated media. A collocation method is used for the solution of Stokes flow in terms of Lamb's general solution in spherical coordinates. 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