{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/22430"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/22430","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Liquid metal flow in a sharp elbow in a uniform transverse magnetic field","abstract":"In the self-cooling blankets of the Tokamak fusion reactor, a liquid metal, namely liquid lithium, is pumped through a system of ducts to transfer heat and capture neutrons. One of the blanket designs proposed in Argonne National Laboratory's Blanket Comparison and Selection Study uses a combination of poloidal and toroidal ducts in order to maximize heat transfer while minimizing net pressure drop. In the design, the poloidal and toroidal ducts meet at sharp, abrupt corners. They were modelled as two identical, straight, semi-infinite, thin-walled, rectangular ducts with 45$\\sp\\circ$ miters and joined at a 90$\\sp\\circ$ angle in the plane of a strong, uniform magnetic field.","abstract_html":"In the self-cooling blankets of the Tokamak fusion reactor, a liquid metal, namely liquid lithium, is pumped through a system of ducts to transfer heat and capture neutrons. One of the blanket designs proposed in Argonne National Laboratory's Blanket Comparison and Selection Study uses a combination of poloidal and toroidal ducts in order to maximize heat transfer while minimizing net pressure drop. In the design, the poloidal and toroidal ducts meet at sharp, abrupt corners. They were modelled as two identical, straight, semi-infinite, thin-walled, rectangular ducts with 45$\\sp\\circ$ miters and joined at a 90$\\sp\\circ$ angle in the plane of a strong, uniform magnetic field.","abstract_has_math":true,"creators":["Moon, Tessie Jo"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Applied Mechanics","degree_department":null,"school":null,"contributors":["Walker, John S."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:39:35Z","date_published":"2011-05-07T13:39:35Z","updated_at":"2026-07-22T22:25:19Z","subjects":["Applied Mechanics","Engineering, Mechanical","Engineering, Nuclear"],"languages":["eng"],"rights":["Copyright 1989 Moon, Tessie Jo"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI8924902","(UMI)AAI8924902"],"render_values":[{"text":"AAI8924902","href":null,"code":true},{"text":"(UMI)AAI8924902","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/22430","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Walker, John S."]},{"key":"dc:creator","label":"Author","values":["Moon, Tessie Jo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:39:35Z","10000-01-01","1989"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Applied Mechanics","Engineering, Mechanical","Engineering, Nuclear"]},{"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":["Applied Mechanics","Engineering, Mechanical","Engineering, Nuclear"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Moon, Tessie Jo"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI8924902","(UMI)AAI8924902","http://hdl.handle.net/2142/22430"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In the self-cooling blankets of the Tokamak fusion reactor, a liquid metal, namely liquid lithium, is pumped through a system of ducts to transfer heat and capture neutrons. One of the blanket designs proposed in Argonne National Laboratory's Blanket Comparison and Selection Study uses a combination of poloidal and toroidal ducts in order to maximize heat transfer while minimizing net pressure drop. In the design, the poloidal and toroidal ducts meet at sharp, abrupt corners. They were modelled as two identical, straight, semi-infinite, thin-walled, rectangular ducts with 45$\\sp\\circ$ miters and joined at a 90$\\sp\\circ$ angle in the plane of a strong, uniform magnetic field.","While in the toroidal containment vessel (i.e. the blanket), the liquid lithium is subjected to a large electromagnetic body force due to the presence of a strong magnetic field. This body force so dominates the flow as to make the inertial and viscous forces negligible everywhere, except in thin boundary or interior layers.","\"The duct was \"\"separated\"\" into three distinct, successive regions in the axial direction. Due to their geometrical simplicity, the upstream and downstream regions had analytical solutions which were expressed in terms of eigenfunction expansions. Meanwhile, a successive over-relaxation finite difference scheme was used in the middle region which required a full numerical solution due to its geometrical complexity. The two solution types (numerical and analytical) were matched using a combined Galerkin-conservation integral method.\"","Results are presented for the geometry corresponding to the Tokamak configuration and values of the wall conductance ratio, c, in the range 0.01 to 1. The pressure and electric potential functions in the top and bottom walls are presented in each of the three regions. The additional pressure drop associated with the presence of the elbow is also given.","Made available in DSpace on 2011-05-07T13:39:35Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 8924902.pdf: 6718316 bytes, checksum: 075039ceccff35d95cb05234269e2603 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:57:34Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:27:00-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Liquid metal flow in a sharp elbow in a uniform transverse magnetic field"]}]}],"canonical_facts":{"dc:contributor":["Walker, John S."],"dc:creator":["Moon, Tessie Jo"],"dc:date":["2011-05-07T13:39:35Z","10000-01-01","1989"],"dc:description":["In the self-cooling blankets of the Tokamak fusion reactor, a liquid metal, namely liquid lithium, is pumped through a system of ducts to transfer heat and capture neutrons. One of the blanket designs proposed in Argonne National Laboratory's Blanket Comparison and Selection Study uses a combination of poloidal and toroidal ducts in order to maximize heat transfer while minimizing net pressure drop. In the design, the poloidal and toroidal ducts meet at sharp, abrupt corners. They were modelled as two identical, straight, semi-infinite, thin-walled, rectangular ducts with 45$\\sp\\circ$ miters and joined at a 90$\\sp\\circ$ angle in the plane of a strong, uniform magnetic field.","While in the toroidal containment vessel (i.e. the blanket), the liquid lithium is subjected to a large electromagnetic body force due to the presence of a strong magnetic field. This body force so dominates the flow as to make the inertial and viscous forces negligible everywhere, except in thin boundary or interior layers.","\"The duct was \"\"separated\"\" into three distinct, successive regions in the axial direction. Due to their geometrical simplicity, the upstream and downstream regions had analytical solutions which were expressed in terms of eigenfunction expansions. Meanwhile, a successive over-relaxation finite difference scheme was used in the middle region which required a full numerical solution due to its geometrical complexity. The two solution types (numerical and analytical) were matched using a combined Galerkin-conservation integral method.\"","Results are presented for the geometry corresponding to the Tokamak configuration and values of the wall conductance ratio, c, in the range 0.01 to 1. The pressure and electric potential functions in the top and bottom walls are presented in each of the three regions. The additional pressure drop associated with the presence of the elbow is also given.","Made available in DSpace on 2011-05-07T13:39:35Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 8924902.pdf: 6718316 bytes, checksum: 075039ceccff35d95cb05234269e2603 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:57:34Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:27:00-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI8924902","(UMI)AAI8924902","http://hdl.handle.net/2142/22430"],"dc:language":["eng"],"dc:rights":["Copyright 1989 Moon, Tessie Jo"],"dc:subject":["Applied Mechanics","Engineering, Mechanical","Engineering, Nuclear"],"dc:title":["Liquid metal flow in a sharp elbow in a uniform transverse magnetic field"],"dc:type":["text"],"thesis:degree_discipline":["Applied Mechanics","Engineering, Mechanical","Engineering, Nuclear"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:19Z"}