{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/4912"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/4912","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Mathematical modelling of unsteady contact melting","abstract":"The work in this thesis deals with the heat transfer and fluid flow problem encountered in the analysis of an unsteady contact melting process. Chapters 2 and 3 deal with only the heat transfer problem without fluid flow. In Chapter 2 the pre-melting problem is treated. The focus is to obtain the best approximate analytical solution to be used in the melting phase where there are no known exact solutions. The approximate solutions are constructed using the heat balance integral method.","abstract_html":"The work in this thesis deals with the heat transfer and fluid flow problem encountered in the analysis of an unsteady contact melting process. Chapters 2 and 3 deal with only the heat transfer problem without fluid flow. In Chapter 2 the pre-melting problem is treated. The focus is to obtain the best approximate analytical solution to be used in the melting phase where there are no known exact solutions. The approximate solutions are constructed using the heat balance integral method.","abstract_has_math":false,"creators":["Muchatibaya, Gift"],"institution":"Department of Mathematics and Applied Mathematics","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Myers, Timothy G","Mitchell, S L"],"committee_chairs":[],"committee_members":[],"year":2008,"date_issued":"2008","date_published":"2008","updated_at":"2026-07-22T22:23:44Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/4912","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Myers, Timothy G","Mitchell, S L"]},{"key":"dc:creator","label":"Author","values":["Muchatibaya, Gift"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-07-31T08:08:59Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-07-31T08:08:59Z"]},{"key":"dc:date.issued","label":"Date","values":["2008"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Mathematics and Applied Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Doctoral Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/4912"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Includes abstract.","Includes bibliographical references (leaves 115-122)."]},{"key":"dc:description.abstract","label":"Abstract","values":["The work in this thesis deals with the heat transfer and fluid flow problem encountered in the analysis of an unsteady contact melting process. Chapters 2 and 3 deal with only the heat transfer problem without fluid flow. In Chapter 2 the pre-melting problem is treated. The focus is to obtain the best approximate analytical solution to be used in the melting phase where there are no known exact solutions. The approximate solutions are constructed using the heat balance integral method."]},{"key":"dc:title","label":"Title","values":["Mathematical modelling of unsteady contact melting"]}]}],"canonical_facts":{"dc:contributor.advisor":["Myers, Timothy G","Mitchell, S L"],"dc:creator":["Muchatibaya, Gift"],"dc:date.accessioned":["2014-07-31T08:08:59Z"],"dc:date.available":["2014-07-31T08:08:59Z"],"dc:date.issued":["2008"],"dc:description":["Includes abstract.","Includes bibliographical references (leaves 115-122)."],"dc:description.abstract":["The work in this thesis deals with the heat transfer and fluid flow problem encountered in the analysis of an unsteady contact melting process. Chapters 2 and 3 deal with only the heat transfer problem without fluid flow. In Chapter 2 the pre-melting problem is treated. The focus is to obtain the best approximate analytical solution to be used in the melting phase where there are no known exact solutions. The approximate solutions are constructed using the heat balance integral method."],"dc:identifier.uri":["http://hdl.handle.net/11427/4912"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Mathematics and Applied Mathematics"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Mathematical modelling of unsteady contact melting"],"dc:type":["Doctoral Thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["PhD"]},"updated_at":"2026-07-22T22:23:44Z"}