{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3486"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3486","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Limite de Stokes: uma aproximação estável para escoamentos lentos de fluidos não Newtonianos","abstract":"A limit procedure for slow flows of simple fluids with fading memory is studied. Grounded on Coleman & Noll's aproximation theorem, the procedure aims to avoid the cases of instability that may occur when the fluids of Rivlin-Ericksen are applied. We investigate the conjecture that the instability is due to the different orders of magnitude of the terms that figure in the dynamical equation. By applying the slow flow limit to the whole equation, and not to the stress alone, the equation is unfolded in a sequence of equations; to each of them, only terms of the sarne order are allowed. The procedure is applied, up to the second order, to the simple case of lineal flow and the solution is compared with that obtained by the application of the second fluid of Rivlin-Ericksen.","abstract_html":"A limit procedure for slow flows of simple fluids with fading memory is studied. Grounded on Coleman & Noll's aproximation theorem, the procedure aims to avoid the cases of instability that may occur when the fluids of Rivlin-Ericksen are applied. We investigate the conjecture that the instability is due to the different orders of magnitude of the terms that figure in the dynamical equation. By applying the slow flow limit to the whole equation, and not to the stress alone, the equation is unfolded in a sequence of equations; to each of them, only terms of the sarne order are allowed. The procedure is applied, up to the second order, to the simple case of lineal flow and the solution is compared with that obtained by the application of the second fluid of Rivlin-Ericksen.","abstract_has_math":false,"creators":["Zindeluk, Moysés"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Telles, Affonso Carlos Seabra da Silva"],"committee_chairs":[],"committee_members":[],"year":1972,"date_issued":"1972-12","date_published":"1972-12","updated_at":"2026-07-24T01:16:04Z","subjects":["Equações de Navier-Stokes","Mecânica dos fluidos"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3486","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Telles, Affonso Carlos Seabra da Silva"]},{"key":"dc:creator","label":"Author","values":["Zindeluk, Moysés"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-16T17:14:08Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:17Z"]},{"key":"dc:date.issued","label":"Date","values":["1972-12"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Equações de Navier-Stokes","Mecânica dos fluidos"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3486"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A limit procedure for slow flows of simple fluids with fading memory is studied. Grounded on Coleman & Noll's aproximation theorem, the procedure aims to avoid the cases of instability that may occur when the fluids of Rivlin-Ericksen are applied. We investigate the conjecture that the instability is due to the different orders of magnitude of the terms that figure in the dynamical equation. By applying the slow flow limit to the whole equation, and not to the stress alone, the equation is unfolded in a sequence of equations; to each of them, only terms of the sarne order are allowed. The procedure is applied, up to the second order, to the simple case of lineal flow and the solution is compared with that obtained by the application of the second fluid of Rivlin-Ericksen."]},{"key":"dc:title","label":"Title","values":["Limite de Stokes: uma aproximação estável para escoamentos lentos de fluidos não Newtonianos"]}]}],"canonical_facts":{"dc:contributor.advisor":["Telles, Affonso Carlos Seabra da Silva"],"dc:creator":["Zindeluk, Moysés"],"dc:date.accessioned":["2018-01-16T17:14:08Z"],"dc:date.available":["2026-05-16T03:05:17Z"],"dc:date.issued":["1972-12"],"dc:description.abstract":["A limit procedure for slow flows of simple fluids with fading memory is studied. Grounded on Coleman & Noll's aproximation theorem, the procedure aims to avoid the cases of instability that may occur when the fluids of Rivlin-Ericksen are applied. We investigate the conjecture that the instability is due to the different orders of magnitude of the terms that figure in the dynamical equation. By applying the slow flow limit to the whole equation, and not to the stress alone, the equation is unfolded in a sequence of equations; to each of them, only terms of the sarne order are allowed. The procedure is applied, up to the second order, to the simple case of lineal flow and the solution is compared with that obtained by the application of the second fluid of Rivlin-Ericksen."],"dc:identifier.uri":["http://hdl.handle.net/11422/3486"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Equações de Navier-Stokes","Mecânica dos fluidos"],"dc:title":["Limite de Stokes: uma aproximação estável para escoamentos lentos de fluidos não Newtonianos"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:04Z"}