{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/70905"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/70905","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Multiregion Analysis of Conduction and Convective Heat Transfer in a Finite Tube Bundle Reactor (Rod Bundle)","abstract":"A theoretical investigation has been carried out to determine the temperature fields and the heat transfer rates in various regions of a rod-clustered circular channel. Analytical results for two cases, the thermal entrance region and the thermally developed region, have been presented. In the thermally developed region the continuity of temperature and the heat flux at the interfaces have been considered, and the analysis has been extended to both plug and fully developed laminar flow. The singular solution arising due to the peripheral rods has been obtained using the method of Howland functions.","abstract_html":"A theoretical investigation has been carried out to determine the temperature fields and the heat transfer rates in various regions of a rod-clustered circular channel. Analytical results for two cases, the thermal entrance region and the thermally developed region, have been presented. In the thermally developed region the continuity of temperature and the heat flux at the interfaces have been considered, and the analysis has been extended to both plug and fully developed laminar flow. The singular solution arising due to the peripheral rods has been obtained using the method of Howland functions.","abstract_has_math":false,"creators":["Kar, Aravinda"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Nuclear Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-16T04:17:40Z","date_published":"2014-12-16T04:17:40Z","updated_at":"2026-07-22T22:26:03Z","subjects":["Engineering, Nuclear"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8610944"],"render_values":[{"text":"(UMI)AAI8610944","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/70905","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Kar, Aravinda"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-16T04:17:40Z","10000-01-01","1986"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Nuclear Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Nuclear"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/70905","(UMI)AAI8610944"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A theoretical investigation has been carried out to determine the temperature fields and the heat transfer rates in various regions of a rod-clustered circular channel. Analytical results for two cases, the thermal entrance region and the thermally developed region, have been presented. In the thermally developed region the continuity of temperature and the heat flux at the interfaces have been considered, and the analysis has been extended to both plug and fully developed laminar flow. The singular solution arising due to the peripheral rods has been obtained using the method of Howland functions.","Also, an approximate expression for the developed laminar flow has been determined using the method of weighted residuals, and its accuracy has been examined analytically. In the entrance region the longitudinal development of the coolant temperature has been studied using the above method. Finally, a criterion for the choice of trial function for the method of weighted residuals has been presented.","The advantage of being able to carry out an extensive parametric survey at a low computational cost on the basis of the analytic solutions obtained in this study is demonstrated.","Made available in DSpace on 2014-12-16T04:17:40Z (GMT). No. of bitstreams: 1 8610944.pdf: 2964816 bytes, checksum: 9128d27dd543e74dfea6c0dd17769955 (MD5) Previous issue date: 1986","Embargo set by: Seth Robbins for item 71071 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","134 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986."]},{"key":"dc:title","label":"Title","values":["Multiregion Analysis of Conduction and Convective Heat Transfer in a Finite Tube Bundle Reactor (Rod Bundle)"]}]}],"canonical_facts":{"dc:creator":["Kar, Aravinda"],"dc:date":["2014-12-16T04:17:40Z","10000-01-01","1986"],"dc:description":["A theoretical investigation has been carried out to determine the temperature fields and the heat transfer rates in various regions of a rod-clustered circular channel. Analytical results for two cases, the thermal entrance region and the thermally developed region, have been presented. In the thermally developed region the continuity of temperature and the heat flux at the interfaces have been considered, and the analysis has been extended to both plug and fully developed laminar flow. The singular solution arising due to the peripheral rods has been obtained using the method of Howland functions.","Also, an approximate expression for the developed laminar flow has been determined using the method of weighted residuals, and its accuracy has been examined analytically. In the entrance region the longitudinal development of the coolant temperature has been studied using the above method. Finally, a criterion for the choice of trial function for the method of weighted residuals has been presented.","The advantage of being able to carry out an extensive parametric survey at a low computational cost on the basis of the analytic solutions obtained in this study is demonstrated.","Made available in DSpace on 2014-12-16T04:17:40Z (GMT). No. of bitstreams: 1 8610944.pdf: 2964816 bytes, checksum: 9128d27dd543e74dfea6c0dd17769955 (MD5) Previous issue date: 1986","Embargo set by: Seth Robbins for item 71071 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","134 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986."],"dc:identifier":["http://hdl.handle.net/2142/70905","(UMI)AAI8610944"],"dc:subject":["Engineering, Nuclear"],"dc:title":["Multiregion Analysis of Conduction and Convective Heat Transfer in a Finite Tube Bundle Reactor (Rod Bundle)"],"dc:type":["text"],"thesis:degree_discipline":["Nuclear Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:03Z"}