{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/44117"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/44117","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Analysis of interfacial forces on the physics of two-phase flow and hyperbolicity of the two-fluid model","abstract":"The scope of this Master Thesis is the two-fluid model. This study aims at analysing their ill-posedness, showing how it is related to non-hyperbolicity and giving a measurement that I call the numerical hyperbolicity. As a cure to this important issue, we will propose a combination of physical and mathematical solutions. The physical forces that we will focus on are two interfacial forces: the interfacial pressure and the virtual mass. We will quantify the minimum correction that is necessary to ensure hyperbolicity of the two-fluid model. 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This correction is proposed for use as a criteria in the next generation of nuclear reactor thermal-hydraulics codes.","abstract_has_math":false,"creators":["Talpaert, Arthur"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Nuclear, Plasma, Radiolgc Engr","degree_department":null,"school":null,"contributors":["Kozlowski, Tomasz"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-05-24T21:51:12Z","date_published":"2013-05-24T21:51:12Z","updated_at":"2026-07-22T22:25:33Z","subjects":["interfacial forces","two-phase flow","hyperbolicity","two-fluid model"],"languages":["en"],"rights":["Copyright 2013 by Arthur Constantin Nicolas Talpaert. 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