{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/67022"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/67022","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation","abstract":"The hydrodynamic problems influenced by gravitation have been examined through hodograph transformations. It has been found that even with strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity function of free streamlines must be determined through iterations and it has been also found that this iterative process is rapidly convergent. Favorable agreement of the results with the experimental data substantiates the fact that this method is effective in dealing with flow problems strongly influenced by gravitation. The idea of subdividing the hodograph and matching their boundary values along the cut can be extended to problems with more complicated configurations.","abstract_html":"The hydrodynamic problems influenced by gravitation have been examined through hodograph transformations. It has been found that even with strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity function of free streamlines must be determined through iterations and it has been also found that this iterative process is rapidly convergent. Favorable agreement of the results with the experimental data substantiates the fact that this method is effective in dealing with flow problems strongly influenced by gravitation. The idea of subdividing the hodograph and matching their boundary values along the cut can be extended to problems with more complicated configurations.","abstract_has_math":false,"creators":["Han, Taeyoung"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-13T19:55:35Z","date_published":"2014-12-13T19:55:35Z","updated_at":"2026-07-22T22:25:57Z","subjects":["Engineering, Mechanical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8017947"],"render_values":[{"text":"(UMI)AAI8017947","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/67022","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Han, Taeyoung"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-13T19:55:35Z","10000-01-01","1980"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"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":["Engineering, Mechanical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/67022","(UMI)AAI8017947"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The hydrodynamic problems influenced by gravitation have been examined through hodograph transformations. It has been found that even with strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity function of free streamlines must be determined through iterations and it has been also found that this iterative process is rapidly convergent. Favorable agreement of the results with the experimental data substantiates the fact that this method is effective in dealing with flow problems strongly influenced by gravitation. The idea of subdividing the hodograph and matching their boundary values along the cut can be extended to problems with more complicated configurations.","Made available in DSpace on 2014-12-13T19:55:35Z (GMT). No. of bitstreams: 1 8017947.pdf: 3295728 bytes, checksum: f19b219b6f14eed5ce5bb2bde9acd239 (MD5) Previous issue date: 1980","Embargo set by: Seth Robbins for item 67200 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","138 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980."]},{"key":"dc:title","label":"Title","values":["Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation"]}]}],"canonical_facts":{"dc:creator":["Han, Taeyoung"],"dc:date":["2014-12-13T19:55:35Z","10000-01-01","1980"],"dc:description":["The hydrodynamic problems influenced by gravitation have been examined through hodograph transformations. It has been found that even with strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity function of free streamlines must be determined through iterations and it has been also found that this iterative process is rapidly convergent. Favorable agreement of the results with the experimental data substantiates the fact that this method is effective in dealing with flow problems strongly influenced by gravitation. The idea of subdividing the hodograph and matching their boundary values along the cut can be extended to problems with more complicated configurations.","Made available in DSpace on 2014-12-13T19:55:35Z (GMT). No. of bitstreams: 1 8017947.pdf: 3295728 bytes, checksum: f19b219b6f14eed5ce5bb2bde9acd239 (MD5) Previous issue date: 1980","Embargo set by: Seth Robbins for item 67200 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","138 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980."],"dc:identifier":["http://hdl.handle.net/2142/67022","(UMI)AAI8017947"],"dc:language":["eng"],"dc:subject":["Engineering, Mechanical"],"dc:title":["Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:57Z"}