{"id":{"repo_id":"auckland-ms","oai_identifier":"oai:researchspace.auckland.ac.nz:2292/1936"},"canonical_url":"https://search.dev.ndltd.org/etd/auckland-ms/oai:researchspace.auckland.ac.nz:2292/1936","repository":{"repo_id":"auckland-ms","name":"University of Auckland","base_url":"https://researchspace.auckland.ac.nz/server/oai/request"},"display":{"title":"The De Saint-Venant equations in curved channels","abstract":"After introducing the subject of curvilinear flow, particularly in the context of meandering natural channels, this thesis then describes the three conventional models for unsteady flow in open channels, namely kinematic, diffusion and dynamic. These descriptions are in terms of the straight channel de Saint-Venant equations. The discussion also considers some aspects of the diffusion model which raise questions as to the appropriateness of the usual engineering approach to this model. As to date, these models treat curvature cursorily, if at all, the models are then expanded to incorporate curvature in a more systematic manner. This is done by deriving the de Saint-Venant equations in terms of curvilinear coordinates. The models are then presented in terms of the curvilinear mass-conservation and various forms of the curvilinear momentum equation. The new models are found to be expressed by equations of the form 'linear model + curvilinear correction' thus allowing the engineer to estimate the size of any curvature effect. The derived dynamic model is compared with a laboratory study, and the results indicate that the new curvilinear model is a reasonable description of dam-break flow. Subsequent calculations, based on field data, of the celerity of the dynamic wave illustrate how big the corrections can be.","abstract_html":"After introducing the subject of curvilinear flow, particularly in the context of meandering natural channels, this thesis then describes the three conventional models for unsteady flow in open channels, namely kinematic, diffusion and dynamic. These descriptions are in terms of the straight channel de Saint-Venant equations. The discussion also considers some aspects of the diffusion model which raise questions as to the appropriateness of the usual engineering approach to this model. As to date, these models treat curvature cursorily, if at all, the models are then expanded to incorporate curvature in a more systematic manner. This is done by deriving the de Saint-Venant equations in terms of curvilinear coordinates. The models are then presented in terms of the curvilinear mass-conservation and various forms of the curvilinear momentum equation. The new models are found to be expressed by equations of the form 'linear model + curvilinear correction' thus allowing the engineer to estimate the size of any curvature effect. The derived dynamic model is compared with a laboratory study, and the results indicate that the new curvilinear model is a reasonable description of dam-break flow. Subsequent calculations, based on field data, of the celerity of the dynamic wave illustrate how big the corrections can be.","abstract_has_math":false,"creators":["Nalder, Guinevere Vivianne"],"institution":"ResearchSpace@Auckland","degree_name":"PhD","degree_level":"Doctoral","degree_discipline":"Civil and Resource Engineering","degree_department":null,"school":null,"contributors":[],"advisors":["Professor John Fenton","Professor Graeme Wake"],"committee_chairs":[],"committee_members":[],"year":1998,"date_issued":"1998","date_published":"1998","updated_at":"2026-07-24T01:04:52Z","subjects":[],"languages":["en"],"rights":["Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated."],"rights_urls":["https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm"],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2292/1936","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Professor John Fenton","Professor Graeme Wake"]},{"key":"dc:creator","label":"Author","values":["Nalder, Guinevere Vivianne"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2007-10-23T20:31:22Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2007-10-23T20:31:22Z"]},{"key":"dc:date.issued","label":"Date","values":["1998"]},{"key":"dc:publisher","label":"Institution","values":["ResearchSpace@Auckland"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["UoA850944"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil and Resource Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["PhD"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["The University of Auckland"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated."]},{"key":"dc:rights.uri","label":"Rights URI","values":["https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/2292/1936"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["After introducing the subject of curvilinear flow, particularly in the context of meandering natural channels, this thesis then describes the three conventional models for unsteady flow in open channels, namely kinematic, diffusion and dynamic. These descriptions are in terms of the straight channel de Saint-Venant equations. The discussion also considers some aspects of the diffusion model which raise questions as to the appropriateness of the usual engineering approach to this model. As to date, these models treat curvature cursorily, if at all, the models are then expanded to incorporate curvature in a more systematic manner. This is done by deriving the de Saint-Venant equations in terms of curvilinear coordinates. The models are then presented in terms of the curvilinear mass-conservation and various forms of the curvilinear momentum equation. The new models are found to be expressed by equations of the form 'linear model + curvilinear correction' thus allowing the engineer to estimate the size of any curvature effect. The derived dynamic model is compared with a laboratory study, and the results indicate that the new curvilinear model is a reasonable description of dam-break flow. Subsequent calculations, based on field data, of the celerity of the dynamic wave illustrate how big the corrections can be."]},{"key":"dc:format","label":"Dc Format","values":["Scanned from print thesis"]},{"key":"dc:title","label":"Title","values":["The De Saint-Venant equations in curved channels"]}]}],"canonical_facts":{"dc:contributor.advisor":["Professor John Fenton","Professor Graeme Wake"],"dc:creator":["Nalder, Guinevere Vivianne"],"dc:date.accessioned":["2007-10-23T20:31:22Z"],"dc:date.available":["2007-10-23T20:31:22Z"],"dc:date.issued":["1998"],"dc:description.abstract":["After introducing the subject of curvilinear flow, particularly in the context of meandering natural channels, this thesis then describes the three conventional models for unsteady flow in open channels, namely kinematic, diffusion and dynamic. These descriptions are in terms of the straight channel de Saint-Venant equations. The discussion also considers some aspects of the diffusion model which raise questions as to the appropriateness of the usual engineering approach to this model. As to date, these models treat curvature cursorily, if at all, the models are then expanded to incorporate curvature in a more systematic manner. This is done by deriving the de Saint-Venant equations in terms of curvilinear coordinates. The models are then presented in terms of the curvilinear mass-conservation and various forms of the curvilinear momentum equation. The new models are found to be expressed by equations of the form 'linear model + curvilinear correction' thus allowing the engineer to estimate the size of any curvature effect. The derived dynamic model is compared with a laboratory study, and the results indicate that the new curvilinear model is a reasonable description of dam-break flow. Subsequent calculations, based on field data, of the celerity of the dynamic wave illustrate how big the corrections can be."],"dc:format":["Scanned from print thesis"],"dc:identifier.uri":["https://hdl.handle.net/2292/1936"],"dc:language.iso":["en"],"dc:publisher":["ResearchSpace@Auckland"],"dc:relation.isreferencedby":["UoA850944"],"dc:rights":["Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated."],"dc:rights.uri":["https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm"],"dc:title":["The De Saint-Venant equations in curved channels"],"dc:type":["Thesis"],"thesis:degree_discipline":["Civil and Resource Engineering"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["PhD"],"thesis:institution_name":["The University of Auckland"]},"updated_at":"2026-07-24T01:04:52Z"}