In this thesis we propose a model for laminar natural convection within a mixture of two cryogenic fluids with preferential evaporation.
This full model was developed after a number of smaller models of the behaviour of the surface of the fluid had been examined. Throughout we make careful comparison between our analytical and computational work and existing experimental and theoretical results.
The coupled differential equations for the main model were solved using an explicit upwind scheme for the vorticity-transport, temperature and concentration equations and the multigrid method for the Poisson equation. From plots of the evolution of the system, it is found that convection becomes stronger when preferential evaporation is included.
This new model demonstrates how to include preferential evaporation, and can be applied to other fluid systems.
","abstract_html":"<p class="MsoNormal">In this thesis we propose a model for laminar natural convection within a mixture of two cryogenic fluids with preferential evaporation. </p> <p class="MsoNormal">This full model was developed after a number of smaller models of the behaviour of the surface of the fluid had been examined. Throughout we make careful comparison between our analytical and computational work and existing experimental and theoretical results. </p> <p class="MsoNormal">The coupled differential equations for the main model were solved using an explicit upwind scheme for the vorticity-transport, temperature and concentration equations and the multigrid method for the Poisson equation. From plots of the evolution of the system, it is found that convection becomes stronger when preferential evaporation is included. </p><p class="MsoNormal">This new model demonstrates how to include preferential evaporation, and can be applied to other fluid systems.</p>","abstract_has_math":false,"creators":["Thomas, Angeli Elizabeth"],"institution":"University of Southampton","degree_name":"Ph.D.","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Fitt, Alistair","Keary, Alison"],"committee_chairs":[],"committee_members":[],"year":1999,"date_issued":"1999-01","date_published":"1999-01","updated_at":"2026-07-24T04:35:50Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Fitt, Alistair","Keary, Alison"]},{"key":"dc:creator","label":"Author","values":["Thomas, Angeli Elizabeth"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1999-01"]},{"key":"dc:date.issued","label":"Date","values":["1999-01"]},{"key":"dc:publisher.commercial","label":"Dc Publisher Commercial","values":["University of Southampton"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Mathematics (pre 2011 reorg)","Department of Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Southampton"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://eprints.soton.ac.uk/50640/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Ph.D."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://eprints.soton.ac.uk/50640/1/00125604.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis we propose a model for laminar natural convection within a mixture of two cryogenic fluids with preferential evaporation.
This full model was developed after a number of smaller models of the behaviour of the surface of the fluid had been examined. Throughout we make careful comparison between our analytical and computational work and existing experimental and theoretical results.
The coupled differential equations for the main model were solved using an explicit upwind scheme for the vorticity-transport, temperature and concentration equations and the multigrid method for the Poisson equation. From plots of the evolution of the system, it is found that convection becomes stronger when preferential evaporation is included.
This new model demonstrates how to include preferential evaporation, and can be applied to other fluid systems.
"]},{"key":"dc:format","label":"Dc Format","values":["text"]},{"key":"dc:title","label":"Title","values":["Mathematical modelling of evaporation mechanisms and instabilities in cryogenic liquids"]}]}],"canonical_facts":{"dc:contributor.advisor":["Fitt, Alistair","Keary, Alison"],"dc:creator":["Thomas, Angeli Elizabeth"],"dc:date":["1999-01"],"dc:date.issued":["1999-01"],"dc:description.abstract":["In this thesis we propose a model for laminar natural convection within a mixture of two cryogenic fluids with preferential evaporation.
This full model was developed after a number of smaller models of the behaviour of the surface of the fluid had been examined. Throughout we make careful comparison between our analytical and computational work and existing experimental and theoretical results.
The coupled differential equations for the main model were solved using an explicit upwind scheme for the vorticity-transport, temperature and concentration equations and the multigrid method for the Poisson equation. From plots of the evolution of the system, it is found that convection becomes stronger when preferential evaporation is included.
This new model demonstrates how to include preferential evaporation, and can be applied to other fluid systems.
"],"dc:format":["text"],"dc:identifier.uri":["https://eprints.soton.ac.uk/50640/1/00125604.pdf"],"dc:publisher.commercial":["University of Southampton"],"dc:publisher.department":["Mathematics (pre 2011 reorg)","Department of Mathematics"],"dc:publisher.institution":["University of Southampton"],"dc:relation.isreferencedby":["https://eprints.soton.ac.uk/50640/"],"dc:title":["Mathematical modelling of evaporation mechanisms and instabilities in cryogenic liquids"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["Ph.D."]},"updated_at":"2026-07-24T04:35:50Z"}