{"id":{"repo_id":"missouri","oai_identifier":"oai:mospace.umsystem.edu:10355/103661"},"canonical_url":"https://search.dev.ndltd.org/etd/missouri/oai:mospace.umsystem.edu:10355/103661","repository":{"repo_id":"missouri","name":"University of Missouri","base_url":"https://mospace.umsystem.edu/oai/request"},"display":{"title":"Numerical method for solving fluid flow and heat transfer equations by design optimization","abstract":"A numerical procedure for solving fluid flow and heat transfer equations by design optimization is presented. The procedure uses an optimization program based on an exterior penalty function method to solve the partial differential equations. The intent of the investigation is to show that the method is feasible so that the entire design process can be incorporated into an optimization algorithm. Three problems are chosen to examine this method: laminar flow through a rectangular duct; heat conduction on a flat plate; and viscous, incompressible flow over a sphere. Comparison of the optimization approach with the exact solution, when available, and approximate methods is made. The results of the investigation show that the method is feasible, but modifications in the optimization approach are necessary to improve the results.","abstract_html":"A numerical procedure for solving fluid flow and heat transfer equations by design optimization is presented. The procedure uses an optimization program based on an exterior penalty function method to solve the partial differential equations. The intent of the investigation is to show that the method is feasible so that the entire design process can be incorporated into an optimization algorithm. Three problems are chosen to examine this method: laminar flow through a rectangular duct; heat conduction on a flat plate; and viscous, incompressible flow over a sphere. Comparison of the optimization approach with the exact solution, when available, and approximate methods is made. The results of the investigation show that the method is feasible, but modifications in the optimization approach are necessary to improve the results.","abstract_has_math":false,"creators":["Kral, Linda Dee"],"institution":"University of Missouri--Columbia","degree_name":"M.S.","degree_level":"Masters","degree_discipline":"Mechanical engineering (MU)","degree_department":null,"school":null,"contributors":[],"advisors":["Sandgren, Eric"],"committee_chairs":[],"committee_members":[],"year":1983,"date_issued":"1983","date_published":"1983","updated_at":"2026-07-24T03:09:16Z","subjects":[],"languages":["eng","English"],"rights":["OpenAccess."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.32469/10355/103661"],"render_values":[{"text":"https://doi.org/10.32469/10355/103661","href":"https://doi.org/10.32469/10355/103661","code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/10355/103661","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Sandgren, Eric"]},{"key":"dc:creator","label":"Author","values":["Kral, Linda Dee"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2024-08-07T16:59:35Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2024-08-07T16:59:35Z"]},{"key":"dc:date.issued","label":"Date","values":["1983"]},{"key":"dc:publisher","label":"Institution","values":["University of Missouri--Columbia"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical engineering (MU)"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri--Columbia"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["OpenAccess."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.32469/10355/103661"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10355/103661"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A numerical procedure for solving fluid flow and heat transfer equations by design optimization is presented. The procedure uses an optimization program based on an exterior penalty function method to solve the partial differential equations. The intent of the investigation is to show that the method is feasible so that the entire design process can be incorporated into an optimization algorithm. Three problems are chosen to examine this method: laminar flow through a rectangular duct; heat conduction on a flat plate; and viscous, incompressible flow over a sphere. Comparison of the optimization approach with the exact solution, when available, and approximate methods is made. The results of the investigation show that the method is feasible, but modifications in the optimization approach are necessary to improve the results."]},{"key":"dc:source","label":"Dc Source","values":["Digitized a department copy."]},{"key":"dc:title","label":"Title","values":["Numerical method for solving fluid flow and heat transfer equations by design optimization"]}]}],"canonical_facts":{"dc:contributor.advisor":["Sandgren, Eric"],"dc:creator":["Kral, Linda Dee"],"dc:date.accessioned":["2024-08-07T16:59:35Z"],"dc:date.available":["2024-08-07T16:59:35Z"],"dc:date.issued":["1983"],"dc:description.abstract":["A numerical procedure for solving fluid flow and heat transfer equations by design optimization is presented. The procedure uses an optimization program based on an exterior penalty function method to solve the partial differential equations. The intent of the investigation is to show that the method is feasible so that the entire design process can be incorporated into an optimization algorithm. Three problems are chosen to examine this method: laminar flow through a rectangular duct; heat conduction on a flat plate; and viscous, incompressible flow over a sphere. Comparison of the optimization approach with the exact solution, when available, and approximate methods is made. 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