{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/83790"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/83790","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Lattice Boltzmann Methods for Diffuse and Mobile Interfaces","abstract":"In this work, various systematic approaches are employed for deriving the truncation error of LB models which approximate Navier-Stokes flows. Improved LB models are formulated and validated through point-by-point comparison with limiting benchmark flows. Finally, the modified LB models are used to study a complex swirling flow in the strongly non-linear regime and to elucidate the physics of vapor-liquid flows near the critical point. The first case pertains to hydrodynamic instabilities occurring in the canonical Taylor-Couette-Poiseuille problem, and the numerical study serves to demonstrate the existence of a Stationary Helical Vortex mode. In the second flow, the LB simulations allow the study of the effect of interfacial mass transfer on the hydrodynamic stability of annular flow of near-critical CO2 in a microchannel. The LB results are corroborated by independent experimental data which serve to bolster the validity of the numerical schemes developed.","abstract_html":"In this work, various systematic approaches are employed for deriving the truncation error of LB models which approximate Navier-Stokes flows. Improved LB models are formulated and validated through point-by-point comparison with limiting benchmark flows. Finally, the modified LB models are used to study a complex swirling flow in the strongly non-linear regime and to elucidate the physics of vapor-liquid flows near the critical point. The first case pertains to hydrodynamic instabilities occurring in the canonical Taylor-Couette-Poiseuille problem, and the numerical study serves to demonstrate the existence of a Stationary Helical Vortex mode. In the second flow, the LB simulations allow the study of the effect of interfacial mass transfer on the hydrodynamic stability of annular flow of near-critical CO2 in a microchannel. The LB results are corroborated by independent experimental data which serve to bolster the validity of the numerical schemes developed.","abstract_has_math":false,"creators":["Holdych, David James"],"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, John G.","Buckius, Richard O.","David R. 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Improved LB models are formulated and validated through point-by-point comparison with limiting benchmark flows. Finally, the modified LB models are used to study a complex swirling flow in the strongly non-linear regime and to elucidate the physics of vapor-liquid flows near the critical point. The first case pertains to hydrodynamic instabilities occurring in the canonical Taylor-Couette-Poiseuille problem, and the numerical study serves to demonstrate the existence of a Stationary Helical Vortex mode. In the second flow, the LB simulations allow the study of the effect of interfacial mass transfer on the hydrodynamic stability of annular flow of near-critical CO2 in a microchannel. The LB results are corroborated by independent experimental data which serve to bolster the validity of the numerical schemes developed.","Made available in DSpace on 2015-09-25T21:12:07Z (GMT). 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