Desarrollo de una metodología para la predicción de curvas características en bombas periféricas
Las bombas rotodinámicas han presentado un desarrollo muy notable en los últimos años; debido a esto, su implementación se ha diversificado ampliamente en aplicaciones industriales y domiciliarias. La modificación de los parámetros de operación que definen las características de la bomba regenerativ...
- Autores:
-
Valencia-Ochoa, Guillermo
Acevedo Peñaloza, Carlos Humberto
Duarte Forero, Jorge
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Universidad Francisco de Paula Santander
- Repositorio:
- Repositorio Digital UFPS
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.ufps.edu.co:ufps/1686
- Acceso en línea:
- http://repositorio.ufps.edu.co/handle/ufps/1686
https://doi.org/10.15649/2346030X.756
- Palabra clave:
- Balance energético
Bomba
Dinámica de fluidos
Metodología
Modelo
Energy balance
Fluid dynamics
Methodology
Model
Pump
- Rights
- openAccess
- License
- © 2018 Universidad de Santander UDES Campus Universitario Lagos del Cacique
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Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| dc.title.eng.fl_str_mv |
Development of methodology for characteristic curves prediction in regenerative pumps |
| title |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| spellingShingle |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas Balance energético Bomba Dinámica de fluidos Metodología Modelo Energy balance Fluid dynamics Methodology Model Pump |
| title_short |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| title_full |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| title_fullStr |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| title_full_unstemmed |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| title_sort |
Desarrollo de una metodología para la predicción de curvas características en bombas periféricas |
| dc.creator.fl_str_mv |
Valencia-Ochoa, Guillermo Acevedo Peñaloza, Carlos Humberto Duarte Forero, Jorge |
| dc.contributor.author.none.fl_str_mv |
Valencia-Ochoa, Guillermo Acevedo Peñaloza, Carlos Humberto Duarte Forero, Jorge |
| dc.subject.proposal.spa.fl_str_mv |
Balance energético Bomba Dinámica de fluidos Metodología Modelo |
| topic |
Balance energético Bomba Dinámica de fluidos Metodología Modelo Energy balance Fluid dynamics Methodology Model Pump |
| dc.subject.proposal.eng.fl_str_mv |
Energy balance Fluid dynamics Methodology Model Pump |
| description |
Las bombas rotodinámicas han presentado un desarrollo muy notable en los últimos años; debido a esto, su implementación se ha diversificado ampliamente en aplicaciones industriales y domiciliarias. La modificación de los parámetros de operación que definen las características de la bomba regenerativa afecta directamente su eficiencia. Por otro lado, las curvas características que determinan el comportamiento hidráulico de una bomba son utilizadas para definir el punto de operación y escoger una bomba adecuada para las condiciones de funcionamiento de un sistema hidráulico. En este artículo, se presenta una metodología para ajustar la curva teórica de una bomba rotodinámica periférica utilizando factores que influyen en su desempeño considerando que limitaciones físicas que se presentan durante su operación afectan la precisión en la descripción del fenómeno. La ecuación de Euler es utilizada para determinar un conjunto de correlaciones que describen el comportamiento real de la bomba periférica tomando en cuenta la velocidad absoluta del alabe y la componente periférica de la velocidad del fluido que interactúa con el rodete; luego, los datos generados son utilizados para comparar la ecuación de la velocidad del flujo definida con la caracterización geométrica de una bomba regenerativa disponible en el mercado. Por último, se desarrolló una modificación en la ecuación teórica de Euler para predecir la curva real de la bomba regenerativa alcanzando un porcentaje de error menor al 5%. |
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2020 |
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2020-05-01 |
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2021-12-04T19:54:28Z |
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2021-12-04T19:54:28Z |
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Artículo de revista |
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https://doi.org/10.15649/2346030X.756 |
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spa |
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AiBi Revista de Investigación, Administración e Ingeniería |
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Valencia-Ochoa, G., Acevedo-Peñaloza, C., & Duarte-Forero, J. (2020). Desarrollo de una metodología para la predicción de curvas características en bombas periféricas. Aibi Revista De investigación, administración E ingeniería, 8(2), 54-61. https://doi.org/10.15649/2346030X.756 |
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AiBi Revista de Investigación, Administración e Ingeniería |
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© 2018 Universidad de Santander UDES Campus Universitario Lagos del Cacique |
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Atribución-SinDerivadas 4.0 Internacional (CC BY-ND 4.0) |
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© 2018 Universidad de Santander UDES Campus Universitario Lagos del Cacique Atribución-SinDerivadas 4.0 Internacional (CC BY-ND 4.0) http://purl.org/coar/access_right/c_abf2 |
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AiBi Revista de Investigación, Administración e Ingeniería |
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Colombia |
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Valencia-Ochoa, Guillermo2605edddce0149d4753d0efb51d74d32Acevedo Peñaloza, Carlos Humberto1f12a99f8d5bcc67d1eb10c7c07c76a3600Duarte Forero, Jorge48f5c819166f76baf66b83fb1397bd6b6002021-12-04T19:54:28Z2021-12-04T19:54:28Z2020-05-01http://repositorio.ufps.edu.co/handle/ufps/1686https://doi.org/10.15649/2346030X.756Las bombas rotodinámicas han presentado un desarrollo muy notable en los últimos años; debido a esto, su implementación se ha diversificado ampliamente en aplicaciones industriales y domiciliarias. La modificación de los parámetros de operación que definen las características de la bomba regenerativa afecta directamente su eficiencia. Por otro lado, las curvas características que determinan el comportamiento hidráulico de una bomba son utilizadas para definir el punto de operación y escoger una bomba adecuada para las condiciones de funcionamiento de un sistema hidráulico. En este artículo, se presenta una metodología para ajustar la curva teórica de una bomba rotodinámica periférica utilizando factores que influyen en su desempeño considerando que limitaciones físicas que se presentan durante su operación afectan la precisión en la descripción del fenómeno. La ecuación de Euler es utilizada para determinar un conjunto de correlaciones que describen el comportamiento real de la bomba periférica tomando en cuenta la velocidad absoluta del alabe y la componente periférica de la velocidad del fluido que interactúa con el rodete; luego, los datos generados son utilizados para comparar la ecuación de la velocidad del flujo definida con la caracterización geométrica de una bomba regenerativa disponible en el mercado. Por último, se desarrolló una modificación en la ecuación teórica de Euler para predecir la curva real de la bomba regenerativa alcanzando un porcentaje de error menor al 5%.Rotodynamic pumps have presented a very significant development in recent years. Therefore, its implementation has been widely diversified in industrial and home applications. The modification of working parameters defines regenerative pump features and directly affects its energy efficiency. On the other hand, characteristic curves determine the hydraulic behavior of a regenerative pump, and they are also used to define the optimal operation point and select an adequate pump depending on the working conditions of a hydraulic system. In this paper, a methodology is presented to adjust the theoretical curve of the regenerative rotodynamic pump using factors that influence in its development; physical limitations presented during the operation pump are considered due to they affect the accuracy of the model description. Euler equation is used to determine a set of correlations that describe the real behavior of the regenerative pump taking into account the blade absolute velocity and the peripheral component of the flow velocity which interact with the impeller; then, generated data are used to compare the flow velocity equation defined with the geometric characterization of regenerative pump available in the market. Lastly, a modification in the Euler theoretical equation was developed to predict the real curve of the regenerative pump, an agreement less than 5 percent was reached.08 páginasapplication/pdfspaAiBi Revista de Investigación, Administración e IngenieríaColombiaAiBi Revista de Investigación, Administración e IngenieríaVol.8 No.2.(2020)612(2020)548Valencia-Ochoa, G., Acevedo-Peñaloza, C., & Duarte-Forero, J. (2020). Desarrollo de una metodología para la predicción de curvas características en bombas periféricas. Aibi Revista De investigación, administración E ingeniería, 8(2), 54-61. https://doi.org/10.15649/2346030X.756AiBi Revista de Investigación, Administración e Ingeniería© 2018 Universidad de Santander UDES Campus Universitario Lagos del Caciqueinfo:eu-repo/semantics/openAccessAtribución-SinDerivadas 4.0 Internacional (CC BY-ND 4.0)http://purl.org/coar/access_right/c_abf2https://revistas.udes.edu.co/aibi/article/view/1623Desarrollo de una metodología para la predicción de curvas características en bombas periféricasDevelopment of methodology for characteristic curves prediction in regenerative pumpsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Balance energéticoBombaDinámica de fluidosMetodologíaModeloEnergy balanceFluid dynamicsMethodologyModelPumpF. Posso, J. C. 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Lyu and O. el Moctar, “Numerical and experimental investigations of wave-induced second order hydrodynamic loads,” Ocean Eng., vol. 131, no. May 2016, pp. 197–212, 2017.V. Bone, R. McNaughton, M. Kearney, and I. Jahn, “Methodology to develop off-design models of heat exchangers with non-ideal fluids,” Appl. Therm. Eng., vol. 145, pp. 716–734, Dec. 2018.F. J. Quail, T. Scanlon, and A. Baumgartner, “Design study of a regenerative pump using one-dimensional and three-dimensional numerical techniques,” Eur. J. Mech. B/Fluids, vol. 31, no. 1, pp. 181–187, Jan. 2012Roth Pump Company, “ROTH PUMP COMPANY.” [Online]. Available: http://www.rothpump.com/index.html. [Accessed: 01-Feb-2016].K. Vasudeva Karanth and N. Y. Sharma, CFD Analysis of a Regenerative Pump for Performance Enhancement. 2014.N. D. Karlsen-Davies and G. A. Aggidis, “Regenerative liquid ring pumps review and advances on design and performance,” Applied Energy, vol. 164. 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
0000-0002-5049-87541f12a99f8d5bcc67d1eb10c7c07c76a36000000-0001-7345-959048f5c819166f76baf66b83fb1397bd6b600 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