Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine
In this research, a methodology based on the development of numerical simulations is proposed to analyze the physical behavior of centrifugal pumps such as a turbine. Numerical simulations were carried out using OpenFOAM software. For the validation of the numerical model, the construction of an exp...
- Autores:
-
Prada Botia, Gaudy Carolina
Pabón León, J A
Orjuela Abril, M S
- Tipo de recurso:
- Conferencia (Ponencia)
- Fecha de publicación:
- 2021
- Institución:
- Universidad Francisco de Paula Santander
- Repositorio:
- Repositorio Digital UFPS
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.ufps.edu.co:ufps/6549
- Acceso en línea:
- https://repositorio.ufps.edu.co/handle/ufps/6549
- Palabra clave:
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by/4.0/
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| dc.title.eng.fl_str_mv |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| title |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| spellingShingle |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| title_short |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| title_full |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| title_fullStr |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| title_full_unstemmed |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| title_sort |
Numerical simulation to analyze the physical behavior of centrifugal pumps as a turbine |
| dc.creator.fl_str_mv |
Prada Botia, Gaudy Carolina Pabón León, J A Orjuela Abril, M S |
| dc.contributor.author.none.fl_str_mv |
Prada Botia, Gaudy Carolina Pabón León, J A Orjuela Abril, M S |
| description |
In this research, a methodology based on the development of numerical simulations is proposed to analyze the physical behavior of centrifugal pumps such as a turbine. Numerical simulations were carried out using OpenFOAM software. For the validation of the numerical model, the construction of an experimental test bench was carried out. The analysis carried out involves the evaluation of performance parameters of the pump as a turbine, such as head, power, and efficiency. Additionally, the effect of the rotation speed on the previous parameters is evaluated. From the results obtained, it was shown that the maximum relative error was 4%, 3.4%, and 3.8% for the head, power, and efficiency parameters, respectively. In general, it was evidenced that the proposed numerical simulation has the ability to describe the real trends of the pump as a turbine for different flow conditions. In addition, an 11% increase in rotational speed was shown to cause a 12%, 1.9%, and 3% increase in head, power, and maximum efficiency. The proposed methodology is considered an adequate tool to analyze performance and identify the best efficiency point of pump systems such as a turbine. In this way, greater energy use is guaranteed. |
| publishDate |
2021 |
| dc.date.issued.none.fl_str_mv |
2021-05 |
| dc.date.accessioned.none.fl_str_mv |
2022-11-18T21:29:57Z |
| dc.date.available.none.fl_str_mv |
2022-11-18T21:29:57Z |
| dc.type.spa.fl_str_mv |
Artìculo de revista |
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http://purl.org/coar/resource_type/c_c94f |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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http://purl.org/coar/resource_type/c_8544 |
| dc.type.content.spa.fl_str_mv |
Artìculo de Investigaciòn |
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info:eu-repo/semantics/conferenceObject |
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https://purl.org/redcol/resource_type/EC |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_8544 |
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publishedVersion |
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https://repositorio.ufps.edu.co/handle/ufps/6549 |
| dc.identifier.doi.none.fl_str_mv |
10.1088/1742-6596/2139/1/012007 |
| url |
https://repositorio.ufps.edu.co/handle/ufps/6549 |
| identifier_str_mv |
10.1088/1742-6596/2139/1/012007 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartof.none.fl_str_mv |
Journal of Physics Vol.2139 No.1 (2021) |
| dc.relation.cites.none.fl_str_mv |
G C Prada Botia et al 2021 J. Phys.: Conf. Ser. 2139 012007 |
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info:eu-repo/semantics/openAccess |
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Atribución 4.0 Internacional (CC BY 4.0) |
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https://creativecommons.org/licenses/by/4.0/ Atribución 4.0 Internacional (CC BY 4.0) http://purl.org/coar/access_right/c_abf2 |
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openAccess |
| dc.format.extent.spa.fl_str_mv |
7 Pàginas |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Journal of Physics |
| dc.source.spa.fl_str_mv |
https://iopscience.iop.org/article/10.1088/1742-6596/2139/1/012007/meta |
| institution |
Universidad Francisco de Paula Santander |
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Prada Botia, Gaudy Carolinac523b5201cb053007988d9c7731d7cc7600Pabón León, J Aa278f0dabd5884d1df40592766a4a27eOrjuela Abril, M S882cc78a2b568f7eafba50b4118e8e892022-11-18T21:29:57Z2022-11-18T21:29:57Z2021-05https://repositorio.ufps.edu.co/handle/ufps/654910.1088/1742-6596/2139/1/012007In this research, a methodology based on the development of numerical simulations is proposed to analyze the physical behavior of centrifugal pumps such as a turbine. Numerical simulations were carried out using OpenFOAM software. For the validation of the numerical model, the construction of an experimental test bench was carried out. The analysis carried out involves the evaluation of performance parameters of the pump as a turbine, such as head, power, and efficiency. Additionally, the effect of the rotation speed on the previous parameters is evaluated. From the results obtained, it was shown that the maximum relative error was 4%, 3.4%, and 3.8% for the head, power, and efficiency parameters, respectively. In general, it was evidenced that the proposed numerical simulation has the ability to describe the real trends of the pump as a turbine for different flow conditions. In addition, an 11% increase in rotational speed was shown to cause a 12%, 1.9%, and 3% increase in head, power, and maximum efficiency. The proposed methodology is considered an adequate tool to analyze performance and identify the best efficiency point of pump systems such as a turbine. In this way, greater energy use is guaranteed.7 Pàginasapplication/pdfengJournal of PhysicsJournal of Physics Vol.2139 No.1 (2021)G C Prada Botia et al 2021 J. Phys.: Conf. Ser. 2139 012007https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/article/10.1088/1742-6596/2139/1/012007/metaNumerical simulation to analyze the physical behavior of centrifugal pumps as a turbineArtìculo de revistahttp://purl.org/coar/resource_type/c_8544http://purl.org/coar/resource_type/c_c94fArtìculo de Investigaciòninfo:eu-repo/semantics/conferenceObjecthttps://purl.org/redcol/resource_type/ECinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Forero J D, Ochoa G V and Alvarado W P 2020 Study of the piston secondary movement on the tribological performance of a single cylinder low-displacement diesel engine Lubricants 8 97Consuegra F, Bula A, Guillín W, Sánchez J and Duarte Forero J 2019 Instantaneous in-cylinder volume considering deformation and clearance due to lubricating film in reciprocating internal combustion engines Energies 12 1437Orozco W, Acuña N and Forero J D 2019 Characterization of emissions in low displacement diesel engines using biodiesel and energy recovery system International Review of Mechanical Engineering 13 420Al-Yasiri A J, Ali M A, Ali R S and Bekheet H N 2020 Renewable energy sources in international energy markets: reality and prospects International Journal of Innovation, Creativity and Change 11 376Agarwal T 2012 Review of pump as turbine (PAT) for micro-hydropower International Journal of Emerging Technology and Advanced Engineering 2 163Yousefi H, Noorollahi Y, Tahani M and Fahimi R 2019 Modification of pump as turbine as a soft pressure reduction systems (SPRS) for utilization in municipal water network Energy Equip. Sys. 7 41Binama M, Su W-T, Li X-B, Li F-C, Wei X-Z and An S 2017 Investigation on pump as turbine (PAT) technical aspects for micro hydropower schemes: a state-of-the-art review Renew. Sust. Energ. Rev. 79 148Barbarelli S, Amelio M and Florio G 2016 Predictive model estimating the performances of centrifugal pumps used as turbines Energy 107 103Wang T, Wang C, Kong F, Gou Q and Yang S 2017 Theoretical, experimental, and numerical study of special impeller used in turbine mode of centrifugal pump as turbine Energy 130 473Naeimi H, Shahabi M N and Mohammadi S 2017 A comparison of prediction methods for design of pump as turbine for small hydro plant: implemented plant IOP Conf. Ser.: Earth Environ. Sci. 83 12006-1Stefanizzi M, Torresi M, Fornarelli F, Fortunato B and Camporeale S M 2018 Performance prediction model of multistage centrifugal pumps used as turbines with two-phase flow Energy Procedia 148 408Novara D and McNabola A 2018 A model for the extrapolation of the characteristic curves of pumps as turbines from a datum best efficiency point Energy Conversion and Management 174 1Liu M, Tan L and Cao S 2019 Theoretical model of energy performance prediction and BEP determination for centrifugal pump as turbine Energy 172 712Shi G, Liu X, Wang Z and Liu Y 2017 Conversion relation of centrifugal pumps as hydraulic turbines based on the amplification coefficient Advances in Mechanical Engineering 9 1Wang X, Yang J, Xia Z, Hao Y and Cheng X 2019 Effect of velocity slip on head prediction for centrifugal pumps as turbines Mathematical Problems in Engineering 2019 1Capurso T, Stefanizzi M, Pascazio G, Ranaldo S, Camporeale S M, Fortunato B and Torresi M 2019 Slip factor correction in 1-D performance prediction model for PaTs Water 11 565Greenshields C J 2015 OpenFOAM The Open Source CFD Toolbox Programmer's Guide Version 3.0.1 (London: OpenFOAM Foundation Ltd.)Menter F R 1994 Two-equation Eddy-viscosity turbulence models for engineering applications AIAA Journal 32 1598Derakhshan S and Nourbakhsh A 2008 Theoretical, numerical and experimental investigation of centrifugal pumps in reverse operation Experimental Thermal and Fluid Science 32 1620LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstream/ufps/6549/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessORIGINALPrada_Botia_2021_J._Phys.__Conf._Ser._2139_012007.pdfPrada_Botia_2021_J._Phys.__Conf._Ser._2139_012007.pdfapplication/pdf3869574https://repositorio.ufps.edu.co/bitstream/ufps/6549/1/Prada_Botia_2021_J._Phys.__Conf._Ser._2139_012007.pdf036479457b3a55382709711766010b0fMD51open 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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.
0000-0001-8209-6226c523b5201cb053007988d9c7731d7cc7600 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