{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/83950"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/83950","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds","abstract":"Applying the lattice Boltzmann method, a systematic numerical investigation of interstitial fluid dynamics and dispersion in two-dimensional packed beds in the inertial regime (post-Stokes flow) is undertaken starting from first principles. Long exponential tails are found in the histograms of both interstitial velocity components for low porosity packed beds, showing agreement with experimental results reported in the literature. The permeability (which is proportional to the ratio of the filtration velocity to the streamwise macroscopic pressure gradient) is computed via ensemble averaging, and the transition from the linear (Darcy) regime to the inertial (Forchheimer) regime is quantified. Disorder is shown to play a critical role on dispersion in packed beds. In contrast to predictions based on regular periodic media, low porosity simulations for randomly packed beds predict a significant increase in the lateral dispersivity with Peclet number in complete agreement with experimental data. For longitudinal dispersion, disorder is shown to lead to a slightly superlinear increase in dispersivity with Peclet number in accordance with experimental findings.","abstract_html":"Applying the lattice Boltzmann method, a systematic numerical investigation of interstitial fluid dynamics and dispersion in two-dimensional packed beds in the inertial regime (post-Stokes flow) is undertaken starting from first principles. Long exponential tails are found in the histograms of both interstitial velocity components for low porosity packed beds, showing agreement with experimental results reported in the literature. The permeability (which is proportional to the ratio of the filtration velocity to the streamwise macroscopic pressure gradient) is computed via ensemble averaging, and the transition from the linear (Darcy) regime to the inertial (Forchheimer) regime is quantified. Disorder is shown to play a critical role on dispersion in packed beds. In contrast to predictions based on regular periodic media, low porosity simulations for randomly packed beds predict a significant increase in the lateral dispersivity with Peclet number in complete agreement with experimental data. For longitudinal dispersion, disorder is shown to lead to a slightly superlinear increase in dispersivity with Peclet number in accordance with experimental findings.","abstract_has_math":false,"creators":["Noble, David Ronald"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Georgiadis, J.G.","Buckius, R.O."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T21:12:51Z","date_published":"2015-09-25T21:12:51Z","updated_at":"2026-07-22T22:26:22Z","subjects":["Engineering, Chemical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9717318"],"render_values":[{"text":"(MiAaPQ)AAI9717318","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/83950","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Georgiadis, J.G.","Buckius, R.O."]},{"key":"dc:creator","label":"Author","values":["Noble, David Ronald"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T21:12:51Z","10000-01-01","1997"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical 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":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/83950","(MiAaPQ)AAI9717318"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Applying the lattice Boltzmann method, a systematic numerical investigation of interstitial fluid dynamics and dispersion in two-dimensional packed beds in the inertial regime (post-Stokes flow) is undertaken starting from first principles. Long exponential tails are found in the histograms of both interstitial velocity components for low porosity packed beds, showing agreement with experimental results reported in the literature. The permeability (which is proportional to the ratio of the filtration velocity to the streamwise macroscopic pressure gradient) is computed via ensemble averaging, and the transition from the linear (Darcy) regime to the inertial (Forchheimer) regime is quantified. Disorder is shown to play a critical role on dispersion in packed beds. In contrast to predictions based on regular periodic media, low porosity simulations for randomly packed beds predict a significant increase in the lateral dispersivity with Peclet number in complete agreement with experimental data. For longitudinal dispersion, disorder is shown to lead to a slightly superlinear increase in dispersivity with Peclet number in accordance with experimental findings.","Made available in DSpace on 2015-09-25T21:12:51Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9717318.pdf: 8416042 bytes, checksum: f523f600821f01b6d00e4f3a5afeb705 (MD5) Previous issue date: 1997","Embargo set by: Seth Robbins for item 85231 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","192 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997."]},{"key":"dc:title","label":"Title","values":["Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds"]}]}],"canonical_facts":{"dc:contributor":["Georgiadis, J.G.","Buckius, R.O."],"dc:creator":["Noble, David Ronald"],"dc:date":["2015-09-25T21:12:51Z","10000-01-01","1997"],"dc:description":["Applying the lattice Boltzmann method, a systematic numerical investigation of interstitial fluid dynamics and dispersion in two-dimensional packed beds in the inertial regime (post-Stokes flow) is undertaken starting from first principles. Long exponential tails are found in the histograms of both interstitial velocity components for low porosity packed beds, showing agreement with experimental results reported in the literature. The permeability (which is proportional to the ratio of the filtration velocity to the streamwise macroscopic pressure gradient) is computed via ensemble averaging, and the transition from the linear (Darcy) regime to the inertial (Forchheimer) regime is quantified. Disorder is shown to play a critical role on dispersion in packed beds. In contrast to predictions based on regular periodic media, low porosity simulations for randomly packed beds predict a significant increase in the lateral dispersivity with Peclet number in complete agreement with experimental data. For longitudinal dispersion, disorder is shown to lead to a slightly superlinear increase in dispersivity with Peclet number in accordance with experimental findings.","Made available in DSpace on 2015-09-25T21:12:51Z (GMT). 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