{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19700"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19700","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Computer-aided optimal design for laminar and turbulent fluid-thermal systems","abstract":"The finite-element method and the Newton-Raphson method are combined to investigate the momentum-, mass-, and energy-conservation equations for strongly coupled flow problems. Then the design sensitivities of the system response are computed and used in a numerical optimization algorithm to minimize pressure drop in flow through contractions. Both laminar and turbulent flows are considered. In the turbulent flow problems, the time-averaged momentum- and mass-conservation equations are solved using a mixing-length turbulence model.","abstract_html":"The finite-element method and the Newton-Raphson method are combined to investigate the momentum-, mass-, and energy-conservation equations for strongly coupled flow problems. Then the design sensitivities of the system response are computed and used in a numerical optimization algorithm to minimize pressure drop in flow through contractions. Both laminar and turbulent flows are considered. In the turbulent flow problems, the time-averaged momentum- and mass-conservation equations are solved using a mixing-length turbulence model.","abstract_has_math":false,"creators":["Wang, Zi-Xian"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Science","degree_department":null,"school":null,"contributors":["Tortorelli, Daniel A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:15:43Z","date_published":"2011-05-07T12:15:43Z","updated_at":"2026-07-22T22:25:14Z","subjects":["Applied Mechanics","Engineering, Mechanical"],"languages":["eng"],"rights":["Copyright 1995 Wang, Zi-Xian"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9543764","(UMI)AAI9543764"],"render_values":[{"text":"AAI9543764","href":null,"code":true},{"text":"(UMI)AAI9543764","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19700","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Tortorelli, Daniel A."]},{"key":"dc:creator","label":"Author","values":["Wang, Zi-Xian"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:15:43Z","10000-01-01","1995"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Science"]},{"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":["Applied Mechanics","Engineering, Mechanical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1995 Wang, Zi-Xian"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9543764","(UMI)AAI9543764","http://hdl.handle.net/2142/19700"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The finite-element method and the Newton-Raphson method are combined to investigate the momentum-, mass-, and energy-conservation equations for strongly coupled flow problems. Then the design sensitivities of the system response are computed and used in a numerical optimization algorithm to minimize pressure drop in flow through contractions. Both laminar and turbulent flows are considered. In the turbulent flow problems, the time-averaged momentum- and mass-conservation equations are solved using a mixing-length turbulence model.","Design sensitivities for a generalized response function with respect to design parameters which describe shape, material property, and load data are evaluated via the direct-differentiation method. All quantities are computed with the finite-element method. The efficiently computed sensitivities are verified by comparison with computationally intensive finite-difference sensitivity approximations.","A fully detailed development of the domain-parameterization method is presented for shape design-sensitivity analysis. The method is illustrated for the Laplace problem in which explicit shape sensitivities are derived by the adjoint and direct-differentiation methods. Both finite-element and boundary-element applications are discussed. The similarities between this approach and the isoparametric finite/boundary-element method are apparent.","Made available in DSpace on 2011-05-07T12:15:43Z (GMT). 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Then the design sensitivities of the system response are computed and used in a numerical optimization algorithm to minimize pressure drop in flow through contractions. Both laminar and turbulent flows are considered. In the turbulent flow problems, the time-averaged momentum- and mass-conservation equations are solved using a mixing-length turbulence model.","Design sensitivities for a generalized response function with respect to design parameters which describe shape, material property, and load data are evaluated via the direct-differentiation method. All quantities are computed with the finite-element method. The efficiently computed sensitivities are verified by comparison with computationally intensive finite-difference sensitivity approximations.","A fully detailed development of the domain-parameterization method is presented for shape design-sensitivity analysis. The method is illustrated for the Laplace problem in which explicit shape sensitivities are derived by the adjoint and direct-differentiation methods. Both finite-element and boundary-element applications are discussed. The similarities between this approach and the isoparametric finite/boundary-element method are apparent.","Made available in DSpace on 2011-05-07T12:15:43Z (GMT). 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