{"id":{"repo_id":"wvu","oai_identifier":"oai:researchrepository.wvu.edu:etd-1934"},"canonical_url":"https://search.dev.ndltd.org/etd/wvu/oai:researchrepository.wvu.edu:etd-1934","repository":{"repo_id":"wvu","name":"West Virginia University","base_url":"https://researchrepository.wvu.edu/do/oai/"},"display":{"title":"Velocity profile in confined elliptic fractures","abstract":"The primary objective of this research is to determine the friction inside a smooth fracture and to incorporate the effect of friction on a fluid transient inside a tapered-elliptical-confined fracture. In order to do so, the non-uniform velocity profile in an elliptic fracture with laminar flow of both Newtonian and non-Newtonian fluids was calculated. A transient flow computer program is presented using the method of characteristics, to show the frictional effects on acoustic damping. However for flow inside a hydraulic fracture, the 3D velocity profile is highly non-uniform, and the use of Vav creates an error as Vmax >> Vav. The variation in hydraulic diameter associated with an elliptic cross-section of a confined fracture as given by the Perkins/Kern mode16 is responsible for the large difference between Vmax and Vav. It is shown that for a smooth wall, elliptic fracture, with laminar Newtonian flow, V max = 2.66 Vav.","abstract_html":"The primary objective of this research is to determine the friction inside a smooth fracture and to incorporate the effect of friction on a fluid transient inside a tapered-elliptical-confined fracture. In order to do so, the non-uniform velocity profile in an elliptic fracture with laminar flow of both Newtonian and non-Newtonian fluids was calculated. A transient flow computer program is presented using the method of characteristics, to show the frictional effects on acoustic damping. However for flow inside a hydraulic fracture, the 3D velocity profile is highly non-uniform, and the use of Vav creates an error as Vmax >> Vav. The variation in hydraulic diameter associated with an elliptic cross-section of a confined fracture as given by the Perkins/Kern mode16 is responsible for the large difference between Vmax and Vav. It is shown that for a smooth wall, elliptic fracture, with laminar Newtonian flow, V max = 2.66 Vav.","abstract_has_math":false,"creators":["Pack, Stephen Ronald, Jr."],"institution":null,"degree_name":"MS","degree_level":"Thesis","degree_discipline":"Mechanical and Aerospace Engineering","degree_department":null,"school":null,"contributors":["John Loth."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1998,"date_issued":"1998-12-01T08:00:00Z","date_published":"1998-12-01T08:00:00Z","updated_at":"2026-07-24T06:15:08Z","subjects":["Mechanical engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["https://researchrepository.wvu.edu/etd/931"],"render_values":[{"text":"https://researchrepository.wvu.edu/etd/931","href":"https://researchrepository.wvu.edu/etd/931","code":true}]}]},"links":{"outbound_url":"https://doi.org/10.33915/etd.931","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["John Loth."]},{"key":"dc:creator","label":"Author","values":["Pack, Stephen Ronald, Jr."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2019-01-17T08:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical and Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mechanical engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://doi.org/10.33915/etd.931","https://researchrepository.wvu.edu/etd/931"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The primary objective of this research is to determine the friction inside a smooth fracture and to incorporate the effect of friction on a fluid transient inside a tapered-elliptical-confined fracture. In order to do so, the non-uniform velocity profile in an elliptic fracture with laminar flow of both Newtonian and non-Newtonian fluids was calculated. A transient flow computer program is presented using the method of characteristics, to show the frictional effects on acoustic damping. However for flow inside a hydraulic fracture, the 3D velocity profile is highly non-uniform, and the use of Vav creates an error as Vmax >> Vav. The variation in hydraulic diameter associated with an elliptic cross-section of a confined fracture as given by the Perkins/Kern mode16 is responsible for the large difference between Vmax and Vav. It is shown that for a smooth wall, elliptic fracture, with laminar Newtonian flow, V max = 2.66 Vav."]},{"key":"dc:title","label":"Title","values":["Velocity profile in confined elliptic fractures"]}]}],"canonical_facts":{"dc:contributor":["John Loth."],"dc:creator":["Pack, Stephen Ronald, Jr."],"dc:date.available":["2019-01-17T08:00:00Z"],"dc:description.abstract":["The primary objective of this research is to determine the friction inside a smooth fracture and to incorporate the effect of friction on a fluid transient inside a tapered-elliptical-confined fracture. In order to do so, the non-uniform velocity profile in an elliptic fracture with laminar flow of both Newtonian and non-Newtonian fluids was calculated. A transient flow computer program is presented using the method of characteristics, to show the frictional effects on acoustic damping. However for flow inside a hydraulic fracture, the 3D velocity profile is highly non-uniform, and the use of Vav creates an error as Vmax >> Vav. The variation in hydraulic diameter associated with an elliptic cross-section of a confined fracture as given by the Perkins/Kern mode16 is responsible for the large difference between Vmax and Vav. It is shown that for a smooth wall, elliptic fracture, with laminar Newtonian flow, V max = 2.66 Vav."],"dc:identifier":["https://doi.org/10.33915/etd.931","https://researchrepository.wvu.edu/etd/931"],"dc:subject":["Mechanical engineering"],"dc:title":["Velocity profile in confined elliptic fractures"],"thesis:degree_discipline":["Mechanical and Aerospace Engineering"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["MS"]},"updated_at":"2026-07-24T06:15:08Z"}