{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/88987"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/88987","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"Prandtl-Meyer expansion of ionized argon with differing electron and atom temperatures","abstract":"The sharp corner expansion of ionized argon with differing electron and atom temperatures has been calculated. The thermodynamic equations which apply for a two-temperature gas were derived. An energy balance on the electrons was performed to obtain a functional relationship between Ta, Te, p , and a, The governing quasi-linear partial differential equations were solved by the Method of Characteristics. The results obtained demonstrate that while Te se Ta throughout the expansion fan, the pressure, temperature, and degree of ionization are underestimated if the two temperatures are assumed equal during the solution of the problem.","abstract_html":"The sharp corner expansion of ionized argon with differing electron and atom temperatures has been calculated. The thermodynamic equations which apply for a two-temperature gas were derived. An energy balance on the electrons was performed to obtain a functional relationship between Ta, Te, p , and a, The governing quasi-linear partial differential equations were solved by the Method of Characteristics. The results obtained demonstrate that while Te se Ta throughout the expansion fan, the pressure, temperature, and degree of ionization are underestimated if the two temperatures are assumed equal during the solution of the problem.","abstract_has_math":false,"creators":["Kramer, Kenneth L"],"institution":"Rice University","degree_name":"Master of Science","degree_level":"Masters","degree_discipline":"Engineering","degree_department":null,"school":null,"contributors":[],"advisors":["Wierum, Frederick A."],"committee_chairs":[],"committee_members":[],"year":1965,"date_issued":"1965","date_published":"1965","updated_at":"2026-07-24T04:10:30Z","subjects":[],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1911/88987","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Wierum, Frederick A."]},{"key":"dc:creator","label":"Author","values":["Kramer, Kenneth L"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2016-04-20T21:17:27Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2016-04-20T21:17:27Z"]},{"key":"dc:date.issued","label":"Date","values":["1965"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["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":["Rice University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1911/88987"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The sharp corner expansion of ionized argon with differing electron and atom temperatures has been calculated. The thermodynamic equations which apply for a two-temperature gas were derived. An energy balance on the electrons was performed to obtain a functional relationship between Ta, Te, p , and a, The governing quasi-linear partial differential equations were solved by the Method of Characteristics. The results obtained demonstrate that while Te se Ta throughout the expansion fan, the pressure, temperature, and degree of ionization are underestimated if the two temperatures are assumed equal during the solution of the problem."]},{"key":"dc:title","label":"Title","values":["Prandtl-Meyer expansion of ionized argon with differing electron and atom temperatures"]}]}],"canonical_facts":{"dc:contributor.advisor":["Wierum, Frederick A."],"dc:creator":["Kramer, Kenneth L"],"dc:date.accessioned":["2016-04-20T21:17:27Z"],"dc:date.available":["2016-04-20T21:17:27Z"],"dc:date.issued":["1965"],"dc:description.abstract":["The sharp corner expansion of ionized argon with differing electron and atom temperatures has been calculated. The thermodynamic equations which apply for a two-temperature gas were derived. An energy balance on the electrons was performed to obtain a functional relationship between Ta, Te, p , and a, The governing quasi-linear partial differential equations were solved by the Method of Characteristics. The results obtained demonstrate that while Te se Ta throughout the expansion fan, the pressure, temperature, and degree of ionization are underestimated if the two temperatures are assumed equal during the solution of the problem."],"dc:identifier.uri":["https://hdl.handle.net/1911/88987"],"dc:language.iso":["eng"],"dc:rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"dc:title":["Prandtl-Meyer expansion of ionized argon with differing electron and atom temperatures"],"dc:type":["Thesis"],"thesis:degree_discipline":["Engineering"],"thesis:degree_level":["Masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Rice University"]},"updated_at":"2026-07-24T04:10:30Z"}