{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/82441"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/82441","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Interval Methods for Reliable Computations of Phase Equilibrium From Equation of State Models","abstract":"We have addressed the phase split problem with the Gibbs energy minimization approach. INTSTAB is first used to obtain all the stationary points. They provide extremely good initial estimates for the equilibrium phase compositions. An enhanced Han-Powell method for successive quadratic programming (SQP) is then used to perform a local minimization of Gibbs free energy to locate prospective global minima. INTSTAB is again used to verify if a global minimum has been reached. By combining the speed of this local SQP solver with the reliability of INTSTAB, we have developed an efficient and completely reliable approach for computing multi-phase equilibria. This method was implemented in the package INTFLASH.","abstract_html":"We have addressed the phase split problem with the Gibbs energy minimization approach. INTSTAB is first used to obtain all the stationary points. They provide extremely good initial estimates for the equilibrium phase compositions. An enhanced Han-Powell method for successive quadratic programming (SQP) is then used to perform a local minimization of Gibbs free energy to locate prospective global minima. INTSTAB is again used to verify if a global minimum has been reached. By combining the speed of this local SQP solver with the reliability of INTSTAB, we have developed an efficient and completely reliable approach for computing multi-phase equilibria. This method was implemented in the package INTFLASH.","abstract_has_math":false,"creators":["Hua, James Zhengmao"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Chemical Engineering","degree_department":null,"school":null,"contributors":["Stadtherr, Mark A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:44:04Z","date_published":"2015-09-25T20:44:04Z","updated_at":"2026-07-22T22:26:18Z","subjects":["Engineering, Chemical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9812631"],"render_values":[{"text":"(MiAaPQ)AAI9812631","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/82441","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stadtherr, Mark A."]},{"key":"dc:creator","label":"Author","values":["Hua, James Zhengmao"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:44:04Z","10000-01-01","1997"]},{"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":"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/2142/82441","(MiAaPQ)AAI9812631"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We have addressed the phase split problem with the Gibbs energy minimization approach. INTSTAB is first used to obtain all the stationary points. They provide extremely good initial estimates for the equilibrium phase compositions. An enhanced Han-Powell method for successive quadratic programming (SQP) is then used to perform a local minimization of Gibbs free energy to locate prospective global minima. INTSTAB is again used to verify if a global minimum has been reached. By combining the speed of this local SQP solver with the reliability of INTSTAB, we have developed an efficient and completely reliable approach for computing multi-phase equilibria. This method was implemented in the package INTFLASH.","Made available in DSpace on 2015-09-25T20:44:04Z (GMT). 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They provide extremely good initial estimates for the equilibrium phase compositions. An enhanced Han-Powell method for successive quadratic programming (SQP) is then used to perform a local minimization of Gibbs free energy to locate prospective global minima. INTSTAB is again used to verify if a global minimum has been reached. By combining the speed of this local SQP solver with the reliability of INTSTAB, we have developed an efficient and completely reliable approach for computing multi-phase equilibria. This method was implemented in the package INTFLASH.","Made available in DSpace on 2015-09-25T20:44:04Z (GMT). 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