{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/67037"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/67037","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The Study of The Effect of Gravity on Nozzle Flows by Hodograph Transformation","abstract":"The effect of gravity on incompressible potential nozzle flows is studied by the method of hodograph transformation coupled with numerical computations. It is learned that the method of hodograph transformation can be successfully applied to problems involving curved channel walls. Calculations have been performed for flows discharging from nozzles of different geometries. Results show that the effect of gravity cannot be underestimated before it is fully assessed. One-dimensional approximation can also lead to erroneous results. The important information of the variation of the total head (or far upstream pressure) with volumetric discharge rate for different nozzles have been obtained. It is also learned that early flow separation along the top channel boundary can occur when the total flow mechanical energy is too small. Thus various flow regimes of gravitational nozzle flows are classified and discussed.","abstract_html":"The effect of gravity on incompressible potential nozzle flows is studied by the method of hodograph transformation coupled with numerical computations. It is learned that the method of hodograph transformation can be successfully applied to problems involving curved channel walls. Calculations have been performed for flows discharging from nozzles of different geometries. Results show that the effect of gravity cannot be underestimated before it is fully assessed. One-dimensional approximation can also lead to erroneous results. The important information of the variation of the total head (or far upstream pressure) with volumetric discharge rate for different nozzles have been obtained. It is also learned that early flow separation along the top channel boundary can occur when the total flow mechanical energy is too small. Thus various flow regimes of gravitational nozzle flows are classified and discussed.","abstract_has_math":false,"creators":["Chan, Philemon Chi-Ting"],"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":"2014-12-13T19:55:41Z","date_published":"2014-12-13T19:55:41Z","updated_at":"2026-07-22T22:25:57Z","subjects":["Applied Mechanics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8203421"],"render_values":[{"text":"(UMI)AAI8203421","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/67037","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Chan, Philemon Chi-Ting"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-13T19:55:41Z","10000-01-01","1981"]},{"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":["Applied Mechanics"]}]},{"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/2142/67037","(UMI)AAI8203421"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The effect of gravity on incompressible potential nozzle flows is studied by the method of hodograph transformation coupled with numerical computations. It is learned that the method of hodograph transformation can be successfully applied to problems involving curved channel walls. Calculations have been performed for flows discharging from nozzles of different geometries. Results show that the effect of gravity cannot be underestimated before it is fully assessed. One-dimensional approximation can also lead to erroneous results. The important information of the variation of the total head (or far upstream pressure) with volumetric discharge rate for different nozzles have been obtained. It is also learned that early flow separation along the top channel boundary can occur when the total flow mechanical energy is too small. Thus various flow regimes of gravitational nozzle flows are classified and discussed.","Made available in DSpace on 2014-12-13T19:55:41Z (GMT). No. of bitstreams: 1 8203421.pdf: 4016076 bytes, checksum: 1c1be12cb441c998103e796e09dbb68c (MD5) Previous issue date: 1981","Embargo set by: Seth Robbins for item 67215 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","170 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981."]},{"key":"dc:title","label":"Title","values":["The Study of The Effect of Gravity on Nozzle Flows by Hodograph Transformation"]}]}],"canonical_facts":{"dc:creator":["Chan, Philemon Chi-Ting"],"dc:date":["2014-12-13T19:55:41Z","10000-01-01","1981"],"dc:description":["The effect of gravity on incompressible potential nozzle flows is studied by the method of hodograph transformation coupled with numerical computations. It is learned that the method of hodograph transformation can be successfully applied to problems involving curved channel walls. Calculations have been performed for flows discharging from nozzles of different geometries. Results show that the effect of gravity cannot be underestimated before it is fully assessed. One-dimensional approximation can also lead to erroneous results. The important information of the variation of the total head (or far upstream pressure) with volumetric discharge rate for different nozzles have been obtained. It is also learned that early flow separation along the top channel boundary can occur when the total flow mechanical energy is too small. Thus various flow regimes of gravitational nozzle flows are classified and discussed.","Made available in DSpace on 2014-12-13T19:55:41Z (GMT). No. of bitstreams: 1 8203421.pdf: 4016076 bytes, checksum: 1c1be12cb441c998103e796e09dbb68c (MD5) Previous issue date: 1981","Embargo set by: Seth Robbins for item 67215 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","170 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981."],"dc:identifier":["http://hdl.handle.net/2142/67037","(UMI)AAI8203421"],"dc:language":["eng"],"dc:subject":["Applied Mechanics"],"dc:title":["The Study of The Effect of Gravity on Nozzle Flows by Hodograph Transformation"],"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"}