{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/104502"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/104502","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"A numerical solution to the boundary layer equations for dissociated air","abstract":"The boundary layer equations for a quasi-equilibrium flow of dissociating air past a flat plate have been solved on an electronic digital computer. The solution is based upon a modification of Crocco's method, which takes into consideration the variation of the Prandtl, Schmidt and Lewis numbers. The thermodynamic and transport properties of dissociating air have been evaluated utilizing the closed form expressions evolved by Hansen for approximate partition functions. This method of analysis permits the use of the most valid variations available for dissociating air properties with temperature. Air is treated as a mixture of oxygen and nitrogen in the ratio of one to four. The calculated shear function for dissociation air exceeds, by a maximum of 7.1 percent, the values obtained by Van Driest for non-dissociating air. The calculated enthalpy distribution varies considerably from that computed by Van Driest for a Prandt number of 0.75; the maximum variation being 10.6 percent greater than the calculated value. Results obtained here indicate that the enthalpy distribution is virtually independent of the variation of the product µρ, viscosity times density, with enthalpy.","abstract_html":"The boundary layer equations for a quasi-equilibrium flow of dissociating air past a flat plate have been solved on an electronic digital computer. The solution is based upon a modification of Crocco's method, which takes into consideration the variation of the Prandtl, Schmidt and Lewis numbers. The thermodynamic and transport properties of dissociating air have been evaluated utilizing the closed form expressions evolved by Hansen for approximate partition functions. This method of analysis permits the use of the most valid variations available for dissociating air properties with temperature. Air is treated as a mixture of oxygen and nitrogen in the ratio of one to four. The calculated shear function for dissociation air exceeds, by a maximum of 7.1 percent, the values obtained by Van Driest for non-dissociating air. The calculated enthalpy distribution varies considerably from that computed by Van Driest for a Prandt number of 0.75; the maximum variation being 10.6 percent greater than the calculated value. Results obtained here indicate that the enthalpy distribution is virtually independent of the variation of the product µρ, viscosity times density, with enthalpy.","abstract_has_math":false,"creators":["Lampros, James"],"institution":"Virginia Polytechnic Institute","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Aerospace Engineering","degree_department":"Aerospace Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1962,"date_issued":"1962","date_published":"1962","updated_at":"2026-07-22T22:19:07Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/104502","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Aerospace Engineering"]},{"key":"dc:creator","label":"Author","values":["Lampros, James"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2021-08-02T18:38:55Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2021-08-02T18:38:55Z"]},{"key":"dc:date.issued","label":"Date","values":["1962"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute"]},{"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":["Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"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.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/104502"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The boundary layer equations for a quasi-equilibrium flow of dissociating air past a flat plate have been solved on an electronic digital computer. The solution is based upon a modification of Crocco's method, which takes into consideration the variation of the Prandtl, Schmidt and Lewis numbers. The thermodynamic and transport properties of dissociating air have been evaluated utilizing the closed form expressions evolved by Hansen for approximate partition functions. This method of analysis permits the use of the most valid variations available for dissociating air properties with temperature. Air is treated as a mixture of oxygen and nitrogen in the ratio of one to four. The calculated shear function for dissociation air exceeds, by a maximum of 7.1 percent, the values obtained by Van Driest for non-dissociating air. The calculated enthalpy distribution varies considerably from that computed by Van Driest for a Prandt number of 0.75; the maximum variation being 10.6 percent greater than the calculated value. Results obtained here indicate that the enthalpy distribution is virtually independent of the variation of the product µρ, viscosity times density, with enthalpy."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M.S."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["A numerical solution to the boundary layer equations for dissociated air"]}]}],"canonical_facts":{"dc:contributor.department":["Aerospace Engineering"],"dc:creator":["Lampros, James"],"dc:date.accessioned":["2021-08-02T18:38:55Z"],"dc:date.available":["2021-08-02T18:38:55Z"],"dc:date.issued":["1962"],"dc:description.abstract":["The boundary layer equations for a quasi-equilibrium flow of dissociating air past a flat plate have been solved on an electronic digital computer. The solution is based upon a modification of Crocco's method, which takes into consideration the variation of the Prandtl, Schmidt and Lewis numbers. The thermodynamic and transport properties of dissociating air have been evaluated utilizing the closed form expressions evolved by Hansen for approximate partition functions. This method of analysis permits the use of the most valid variations available for dissociating air properties with temperature. Air is treated as a mixture of oxygen and nitrogen in the ratio of one to four. The calculated shear function for dissociation air exceeds, by a maximum of 7.1 percent, the values obtained by Van Driest for non-dissociating air. The calculated enthalpy distribution varies considerably from that computed by Van Driest for a Prandt number of 0.75; the maximum variation being 10.6 percent greater than the calculated value. Results obtained here indicate that the enthalpy distribution is virtually independent of the variation of the product µρ, viscosity times density, with enthalpy."],"dc:description.degree":["M.S."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/104502"],"dc:language.iso":["en"],"dc:publisher":["Virginia Polytechnic Institute"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["A numerical solution to the boundary layer equations for dissociated air"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Aerospace Engineering"],"thesis:degree_level":["masters"],"thesis:degree_name":["M.S."],"thesis:institution_name":["Virginia Polytechnic Institute"]},"updated_at":"2026-07-22T22:19:07Z"}