{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3411"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3411","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Algumas soluções do problema de difusão com sumidouro","abstract":"Studied the problem of the diffusion with sink when the capacity of the absorption of the sink depends non - linearly of the concentration of the substance which diffuses. In view that the equation that describes this process presents insuperable difficulties to resolve analitically we saw ourselves forced to obtain some particular solutions that in a certain way allow us to judge the influence of the non - linearity on the considered process. Initially it had been obtained the general analytic solution of the progressive wave type in order to inmediately after analyse an resolve the particular case in which the absorption capacity of the sink had been given for one exponent \"n+1\" of the concentration of the substance which diffuses. Finally we obtained the numerical solution when the concentration C = C (x/t) using for that Runge - Kutta's method.","abstract_html":"Studied the problem of the diffusion with sink when the capacity of the absorption of the sink depends non - linearly of the concentration of the substance which diffuses. In view that the equation that describes this process presents insuperable difficulties to resolve analitically we saw ourselves forced to obtain some particular solutions that in a certain way allow us to judge the influence of the non - linearity on the considered process. Initially it had been obtained the general analytic solution of the progressive wave type in order to inmediately after analyse an resolve the particular case in which the absorption capacity of the sink had been given for one exponent "n+1" of the concentration of the substance which diffuses. Finally we obtained the numerical solution when the concentration C = C (x/t) using for that Runge - Kutta's method.","abstract_has_math":false,"creators":["Rosada Granados, Mario Rene"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Lenski, Erlen"],"committee_chairs":[],"committee_members":[],"year":1971,"date_issued":"1971-06","date_published":"1971-06","updated_at":"2026-07-24T01:16:01Z","subjects":["Mecânica dos fluídos"],"languages":["spa"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3411","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Lenski, Erlen"]},{"key":"dc:creator","label":"Author","values":["Rosada Granados, Mario Rene"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-09T12:44:39Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:25Z"]},{"key":"dc:date.issued","label":"Date","values":["1971-06"]},{"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":["Mecânica dos fluídos"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["spa"]},{"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/11422/3411"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Studied the problem of the diffusion with sink when the capacity of the absorption of the sink depends non - linearly of the concentration of the substance which diffuses. In view that the equation that describes this process presents insuperable difficulties to resolve analitically we saw ourselves forced to obtain some particular solutions that in a certain way allow us to judge the influence of the non - linearity on the considered process. Initially it had been obtained the general analytic solution of the progressive wave type in order to inmediately after analyse an resolve the particular case in which the absorption capacity of the sink had been given for one exponent \"n+1\" of the concentration of the substance which diffuses. Finally we obtained the numerical solution when the concentration C = C (x/t) using for that Runge - Kutta's method.","Estudió el problema de la difusión consumidor cuando la capacidad de absorcion del sumidor depende no - linearmente de la concentracion de la substancia que se difunde. En vista que la ecuacion que describe este proceso presenta dificultades insuperables para ser resuelta analiticamente, nos vimos obligados a obtener algunas soluciones particulares que de cierto modo permiten juzgar la influencia de la no - linearidad sobre el proceso considerado. Inicialmente se obtuvo la solucion analítica general del tipo de \"Onda Progresiva\" para luego después analizar y resolver el caso particular en que la capacidad de absorción del sumidor está dada por una potencia \"n+1\" de la concentración de la substancia que se difunde. Finalmente se obtuvo la solución numérica cuando la concentración C = C (x/t) habiéndose usado para ello el método de Runge – Kutta."]},{"key":"dc:title","label":"Title","values":["Algumas soluções do problema de difusão com sumidouro"]}]}],"canonical_facts":{"dc:contributor.advisor":["Lenski, Erlen"],"dc:creator":["Rosada Granados, Mario Rene"],"dc:date.accessioned":["2018-01-09T12:44:39Z"],"dc:date.available":["2026-05-16T03:04:25Z"],"dc:date.issued":["1971-06"],"dc:description.abstract":["Studied the problem of the diffusion with sink when the capacity of the absorption of the sink depends non - linearly of the concentration of the substance which diffuses. In view that the equation that describes this process presents insuperable difficulties to resolve analitically we saw ourselves forced to obtain some particular solutions that in a certain way allow us to judge the influence of the non - linearity on the considered process. Initially it had been obtained the general analytic solution of the progressive wave type in order to inmediately after analyse an resolve the particular case in which the absorption capacity of the sink had been given for one exponent \"n+1\" of the concentration of the substance which diffuses. Finally we obtained the numerical solution when the concentration C = C (x/t) using for that Runge - Kutta's method.","Estudió el problema de la difusión consumidor cuando la capacidad de absorcion del sumidor depende no - linearmente de la concentracion de la substancia que se difunde. En vista que la ecuacion que describe este proceso presenta dificultades insuperables para ser resuelta analiticamente, nos vimos obligados a obtener algunas soluciones particulares que de cierto modo permiten juzgar la influencia de la no - linearidad sobre el proceso considerado. Inicialmente se obtuvo la solucion analítica general del tipo de \"Onda Progresiva\" para luego después analizar y resolver el caso particular en que la capacidad de absorción del sumidor está dada por una potencia \"n+1\" de la concentración de la substancia que se difunde. Finalmente se obtuvo la solución numérica cuando la concentración C = C (x/t) habiéndose usado para ello el método de Runge – Kutta."],"dc:identifier.uri":["http://hdl.handle.net/11422/3411"],"dc:language":["spa"],"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":["Mecânica dos fluídos"],"dc:title":["Algumas soluções do problema de difusão com sumidouro"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:01Z"}