{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/112479"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/112479","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"A theoretical one-dimensional analysis of the transient temperature and stress distributions in a long cylinder subjected to conductive cooling and heating","abstract":"In a new approach used to model quench tests conducted with long cylindrical specimens in fluids, heat transfer within the fluid is described by the heat conduction equations while heat convection is neglected. Analytical solutions for the temperatures and stresses as functions of the time and of the radial coordinate in the cylindrical specimen are presented and the maximum tensile stresses in the specimen are shown to depend on the ratio of thermal conductivities and on the ratio of volumetric heat capacities in the specimens and the quench bath. Plots of maximum tensile stresses are given for a wide range of these ratios and plots of temperatures, stresses and heat fluxes are included for five conductivity ratios. It was found that the maximum stresses predicted by this analysis are in satisfactory agreement with experimental results in the literature for high conductivity fluids, while a larger discrepancy was noted for low conductivity fluids.","abstract_html":"In a new approach used to model quench tests conducted with long cylindrical specimens in fluids, heat transfer within the fluid is described by the heat conduction equations while heat convection is neglected. Analytical solutions for the temperatures and stresses as functions of the time and of the radial coordinate in the cylindrical specimen are presented and the maximum tensile stresses in the specimen are shown to depend on the ratio of thermal conductivities and on the ratio of volumetric heat capacities in the specimens and the quench bath. Plots of maximum tensile stresses are given for a wide range of these ratios and plots of temperatures, stresses and heat fluxes are included for five conductivity ratios. It was found that the maximum stresses predicted by this analysis are in satisfactory agreement with experimental results in the literature for high conductivity fluids, while a larger discrepancy was noted for low conductivity fluids.","abstract_has_math":false,"creators":["Hencke, Hartmut"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Mechanical Engineering","degree_department":"Mechanical Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1983,"date_issued":"1983","date_published":"1983","updated_at":"2026-07-22T22:20:38Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/112479","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Mechanical Engineering"]},{"key":"dc:creator","label":"Author","values":["Hencke, Hartmut"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2022-11-09T06:27:48Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2022-11-09T06:27:48Z"]},{"key":"dc:date.issued","label":"Date","values":["1983"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"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":["Mechanical 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 and State University"]}]},{"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/10919/112479"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In a new approach used to model quench tests conducted with long cylindrical specimens in fluids, heat transfer within the fluid is described by the heat conduction equations while heat convection is neglected. Analytical solutions for the temperatures and stresses as functions of the time and of the radial coordinate in the cylindrical specimen are presented and the maximum tensile stresses in the specimen are shown to depend on the ratio of thermal conductivities and on the ratio of volumetric heat capacities in the specimens and the quench bath. Plots of maximum tensile stresses are given for a wide range of these ratios and plots of temperatures, stresses and heat fluxes are included for five conductivity ratios. It was found that the maximum stresses predicted by this analysis are in satisfactory agreement with experimental results in the literature for high conductivity fluids, while a larger discrepancy was noted for low conductivity fluids."]},{"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 theoretical one-dimensional analysis of the transient temperature and stress distributions in a long cylinder subjected to conductive cooling and heating"]}]}],"canonical_facts":{"dc:contributor.department":["Mechanical Engineering"],"dc:creator":["Hencke, Hartmut"],"dc:date.accessioned":["2022-11-09T06:27:48Z"],"dc:date.available":["2022-11-09T06:27:48Z"],"dc:date.issued":["1983"],"dc:description.abstract":["In a new approach used to model quench tests conducted with long cylindrical specimens in fluids, heat transfer within the fluid is described by the heat conduction equations while heat convection is neglected. Analytical solutions for the temperatures and stresses as functions of the time and of the radial coordinate in the cylindrical specimen are presented and the maximum tensile stresses in the specimen are shown to depend on the ratio of thermal conductivities and on the ratio of volumetric heat capacities in the specimens and the quench bath. Plots of maximum tensile stresses are given for a wide range of these ratios and plots of temperatures, stresses and heat fluxes are included for five conductivity ratios. It was found that the maximum stresses predicted by this analysis are in satisfactory agreement with experimental results in the literature for high conductivity fluids, while a larger discrepancy was noted for low conductivity fluids."],"dc:description.degree":["M.S."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/112479"],"dc:language.iso":["en"],"dc:publisher":["Virginia Polytechnic Institute and State University"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["A theoretical one-dimensional analysis of the transient temperature and stress distributions in a long cylinder subjected to conductive cooling and heating"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["masters"],"thesis:degree_name":["M.S."],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:20:38Z"}