{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/41220"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/41220","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Nondimensional analysis of spatially varied flow in rectangular channels","abstract":"A nondimensional form of the basic differential equation for spatially varied flow with increasing discharge was developed in section VI. The main purpose of this thesis is the application of this nondimensional equation to rectangular channels of various roughness values. A rectangular channel with continuous flow was constructed in order to establish uniform flow. The channel roughness was altered by placing screen wire and wooden cubes in the channel. Manning roughness coefficients were determined from the observed values for uniform depth. The law of conservation of linear momentum was used to develop a differential equation for spatially varied flow with increasing discharge. By defining certain dimensionless parameters, this equation was altered to a dimensionless form. An IBM 7040 computer was used to solve this nondimensional equation for various conditions of slope, roughness, and discharge. When the channel slope and roughness were held constant, the theoretical profiles varied slightly over a wide range of discharge.","abstract_html":"A nondimensional form of the basic differential equation for spatially varied flow with increasing discharge was developed in section VI. The main purpose of this thesis is the application of this nondimensional equation to rectangular channels of various roughness values. A rectangular channel with continuous flow was constructed in order to establish uniform flow. The channel roughness was altered by placing screen wire and wooden cubes in the channel. Manning roughness coefficients were determined from the observed values for uniform depth. The law of conservation of linear momentum was used to develop a differential equation for spatially varied flow with increasing discharge. By defining certain dimensionless parameters, this equation was altered to a dimensionless form. An IBM 7040 computer was used to solve this nondimensional equation for various conditions of slope, roughness, and discharge. When the channel slope and roughness were held constant, the theoretical profiles varied slightly over a wide range of discharge.","abstract_has_math":false,"creators":["Johnson, Robert Wayne"],"institution":"Virginia Tech","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Civil Engineering","degree_department":"Civil Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":["Wiggert, James M."],"committee_members":["Morris, Henry M.","Jennelle, Ernest M."],"year":1966,"date_issued":"1966-08-05","date_published":"1966-08-05","updated_at":"2026-07-22T22:19:49Z","subjects":[],"languages":[],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-02172010-020025"],"render_values":[{"text":"etd-02172010-020025","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/41220","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Wiggert, James M."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Morris, Henry M.","Jennelle, Ernest M."]},{"key":"dc:contributor.department","label":"Department","values":["Civil Engineering"]},{"key":"dc:creator","label":"Author","values":["Johnson, Robert Wayne"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:30:00Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:30:00Z","2010-02-17"]},{"key":"dc:date.issued","label":"Date","values":["1966-08-05"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-02172010-020025"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/41220"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A nondimensional form of the basic differential equation for spatially varied flow with increasing discharge was developed in section VI. The main purpose of this thesis is the application of this nondimensional equation to rectangular channels of various roughness values. A rectangular channel with continuous flow was constructed in order to establish uniform flow. The channel roughness was altered by placing screen wire and wooden cubes in the channel. Manning roughness coefficients were determined from the observed values for uniform depth. The law of conservation of linear momentum was used to develop a differential equation for spatially varied flow with increasing discharge. By defining certain dimensionless parameters, this equation was altered to a dimensionless form. An IBM 7040 computer was used to solve this nondimensional equation for various conditions of slope, roughness, and discharge. When the channel slope and roughness were held constant, the theoretical profiles varied slightly over a wide range of discharge."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["BTD"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Nondimensional analysis of spatially varied flow in rectangular channels"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Wiggert, James M."],"dc:contributor.committeemember":["Morris, Henry M.","Jennelle, Ernest M."],"dc:contributor.department":["Civil Engineering"],"dc:creator":["Johnson, Robert Wayne"],"dc:date.accessioned":["2014-03-14T21:30:00Z"],"dc:date.available":["2014-03-14T21:30:00Z","2010-02-17"],"dc:date.issued":["1966-08-05"],"dc:description.abstract":["A nondimensional form of the basic differential equation for spatially varied flow with increasing discharge was developed in section VI. The main purpose of this thesis is the application of this nondimensional equation to rectangular channels of various roughness values. A rectangular channel with continuous flow was constructed in order to establish uniform flow. The channel roughness was altered by placing screen wire and wooden cubes in the channel. Manning roughness coefficients were determined from the observed values for uniform depth. The law of conservation of linear momentum was used to develop a differential equation for spatially varied flow with increasing discharge. By defining certain dimensionless parameters, this equation was altered to a dimensionless form. An IBM 7040 computer was used to solve this nondimensional equation for various conditions of slope, roughness, and discharge. When the channel slope and roughness were held constant, the theoretical profiles varied slightly over a wide range of discharge."],"dc:description.degree":["Master of Science"],"dc:format.medium":["BTD"],"dc:format.mimetype":["application/pdf"],"dc:identifier.other":["etd-02172010-020025"],"dc:identifier.uri":["http://hdl.handle.net/10919/41220"],"dc:publisher":["Virginia Tech"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Nondimensional analysis of spatially varied flow in rectangular channels"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Civil Engineering"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Virginia Polytechnic Institute"]},"updated_at":"2026-07-22T22:19:49Z"}