{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/41274"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/41274","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Application of the hodograph method to several problems in fluid mechanics","abstract":"It has been found that the hodograph method can be applied with considerable ease to problems of stead, two-dimensional, irrotational, compressible fluid motion in which the bounding streamlines are made up partially of straight boundaries and partially of free streamlines. As in classical theory, these solutions can be used to determine important physical characteristics of the problem such as the equations of free streamlines and the contraction coefficient provided it is possible to carry out the mathematical operations. It must be realized that the hodograph method gives only approximate solutions. However, the hodograph solution gives a more accurate description of a fluid flow than does the classical solution since the hodograph method takes into account the effects of compressibility. It is hoped that the methods used and the solutions obtained in this thesis will aid in giving further insight into the problems of compressible fluid flow.","abstract_html":"It has been found that the hodograph method can be applied with considerable ease to problems of stead, two-dimensional, irrotational, compressible fluid motion in which the bounding streamlines are made up partially of straight boundaries and partially of free streamlines. As in classical theory, these solutions can be used to determine important physical characteristics of the problem such as the equations of free streamlines and the contraction coefficient provided it is possible to carry out the mathematical operations. It must be realized that the hodograph method gives only approximate solutions. However, the hodograph solution gives a more accurate description of a fluid flow than does the classical solution since the hodograph method takes into account the effects of compressibility. It is hoped that the methods used and the solutions obtained in this thesis will aid in giving further insight into the problems of compressible fluid flow.","abstract_has_math":false,"creators":["Williams, James Clifford III"],"institution":"Virginia Tech","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Applied Mechanics","degree_department":"Applied Mechanics","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1954,"date_issued":"1954","date_published":"1954","updated_at":"2026-07-22T22:20:12Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-02232010-020308"],"render_values":[{"text":"etd-02232010-020308","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/41274","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Applied Mechanics"]},{"key":"dc:creator","label":"Author","values":["Williams, James Clifford III"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:30:18Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:30:18Z","2010-02-23"]},{"key":"dc:date.issued","label":"Date","values":["1954"]},{"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":["Applied Mechanics"]},{"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: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.other","label":"Dc Identifier Other","values":["etd-02232010-020308"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/41274"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["It has been found that the hodograph method can be applied with considerable ease to problems of stead, two-dimensional, irrotational, compressible fluid motion in which the bounding streamlines are made up partially of straight boundaries and partially of free streamlines. As in classical theory, these solutions can be used to determine important physical characteristics of the problem such as the equations of free streamlines and the contraction coefficient provided it is possible to carry out the mathematical operations. It must be realized that the hodograph method gives only approximate solutions. However, the hodograph solution gives a more accurate description of a fluid flow than does the classical solution since the hodograph method takes into account the effects of compressibility. 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