CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers
Numerical methodologies have presented an inexpensive solution of laminar and turbulent flows capable of predicting a wide range of mechanical devices in science and engineering. Computational tools have been employed in recent years to analyze the conservation equations behavior used to describe th...
- Autores:
-
Sánchez De la Hoz, José M.
Hernández, Brando
Duarte Forero, Jorge
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/10330
- Acceso en línea:
- https://hdl.handle.net/11323/10330
https://repositorio.cuc.edu.co/
- Palabra clave:
- CFD
Turbulence models
Mesh independence study
OpenFOAM
Centrifugal pump
Modelos de turbulencia
Estudio de independencia de malla
Bomba centrífuga
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
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| dc.title.eng.fl_str_mv |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| dc.title.translated.none.fl_str_mv |
Análisis CFD de flujos turbulentos desplazados por bombas centrífugas con bajo número de Reynolds |
| title |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| spellingShingle |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers CFD Turbulence models Mesh independence study OpenFOAM Centrifugal pump Modelos de turbulencia Estudio de independencia de malla Bomba centrífuga |
| title_short |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| title_full |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| title_fullStr |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| title_full_unstemmed |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| title_sort |
CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers |
| dc.creator.fl_str_mv |
Sánchez De la Hoz, José M. Hernández, Brando Duarte Forero, Jorge |
| dc.contributor.author.none.fl_str_mv |
Sánchez De la Hoz, José M. Hernández, Brando Duarte Forero, Jorge |
| dc.subject.proposal.eng.fl_str_mv |
CFD Turbulence models Mesh independence study OpenFOAM Centrifugal pump |
| topic |
CFD Turbulence models Mesh independence study OpenFOAM Centrifugal pump Modelos de turbulencia Estudio de independencia de malla Bomba centrífuga |
| dc.subject.proposal.spa.fl_str_mv |
Modelos de turbulencia Estudio de independencia de malla Bomba centrífuga |
| description |
Numerical methodologies have presented an inexpensive solution of laminar and turbulent flows capable of predicting a wide range of mechanical devices in science and engineering. Computational tools have been employed in recent years to analyze the conservation equations behavior used to describe the interaction between turbulent and laminar flows used to transfer the energy needed to perform a complex mechanical system. Due to the above, this paper purpose the application of the numerical method linked to mathematical algorithms capable of generating an approximated solution of the partial differential equations system which determines pressure, and velocity values related to the centrifugal pump performance under low Re conditions in a virtual environment through OpenFOAM software, and Salome 8.3.0. An independence mesh analysis was computed to study the computational effort required to establish an approximated turbulence phenomena description performed by the centrifugal pump into the virtual environment supported by MRFSimpleFoam solver. Keywo |
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2020 |
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2020 |
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2023-07-21T21:03:24Z |
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2023-07-21T21:03:24Z |
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Artículo de revista |
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J. Sánchez-De la Hoz, B. Hernández y J. Duarte-Forero, “CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers”, LADEE, vol. 1, no. 1, pp. 1–9, 2020. https://doi.org/10.17981/ladee.01.01.2020.1 |
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10.17981/ladee.01.01.2020.1 |
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2744-9750 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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J. Sánchez-De la Hoz, B. Hernández y J. Duarte-Forero, “CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers”, LADEE, vol. 1, no. 1, pp. 1–9, 2020. https://doi.org/10.17981/ladee.01.01.2020.1 10.17981/ladee.01.01.2020.1 2744-9750 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/10330 https://repositorio.cuc.edu.co/ |
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eng |
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LADEE |
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[1] T. Capurso, L. Bergamini & M. Torresi, “Design and CFD performance analysis of a novel impeller for double suction centrifugal pumps,” Nucl. Eng. Des., vol. 341, no. 1, pp. 155–166, Jan. 2019, https://doi.org/10.1016/j.nucengdes.2018.11.002 [2] S. Emani, M. Ramasamy & K. Z. K. Shaari, “Discrete phase-CFD simulations of asphaltenes particles deposition from crude oil in shell and tube heat exchangers,” Appl. Therm. Eng., vol. 149, pp. 105–118, Feb. 2019, https://doi.org/10.1016/J. APPLTHERMALENG.2018.12.008 [3] M. Cagnoli, A. de la Calle, J. Pye, L. Savoldi & R. Zanino, “A CFD-supported dynamic system-level model of a sodiumcooled billboard-type receiver for central tower CSP applications,” Sol. Energy, vol. 177, pp. 576–594, Jan. 2019. https://doi. org/10.1016/J.SOLENER.2018.11.031 [4] X. Wang, M. Wang, J. Zhang & Y. Wu, “Study on the water seal formation process in advanced PWR pressurizer using CFD method,” Ann. Nucl. Energy, vol. 135, p. 106949, Jan. 2020. https://doi.org/10.1016/J.ANUCENE.2019.106949 [5] O. M. Ilori, A. J. Jaworski & X. Mao, “Experimental and numerical investigations of thermal characteristics of heat exchangers in oscillatory flow,” Appl. Therm. Eng., vol. 144, pp. 910–925, Nov. 2018. https://doi.org/10.1016/J.APPLTHERMALENG.2018.07.073 [6] W. Qu, J. Xiong, S. Chen & X. Cheng, “High-fidelity PIV measurement of cross flow in 5 × 5 rod bundle with mixing vane grids,” Nucl. Eng. Des., vol. 344, pp. 131–143, Abr. 2019. https://doi.org/10.1016/j.nucengdes.2019.01.021 [7] T. Ziegenhein, D. Lucas, G. Besagni & F. Inzoli, “Experimental study of the liquid velocity and turbulence in a large-scale air-water counter-current bubble column,” Exp. Therm. Fluid Sci., vol. 111, p. 109955, Feb. 2020. https://doi.org/10.1016/j. expthermflusci.2019.109955 [8] W. Lyu & O. el Moctar, “Numerical and experimental investigations of wave-induced second order hydrodynamic loads,” Ocean Eng., vol. 131, pp. 197–212, Feb. 2017. https://doi.org/10.1016/j.oceaneng.2016.11.047 [9] W. Yu-qin & D. Ze-wen, “Influence of blade number on flow-induced noise of centrifugal pump based on CFD/CA,” Vacuum, vol. 172, p. 109058, Feb. 2020. https://doi.org/10.1016/j.vacuum.2019.109058 [10] N. Zhang, J. Jiang, B. Gao & X. Liu, “DDES analysis of unsteady flow evolution and pressure pulsation at off-design condition of a centrifugal pump,” Renew. Energy, vol. 153, pp. 193–204, Jun. 2020. https://doi.org/10.1016/j.renene.2020.02.015 [11] H. Yousefi, Y. Noorollahi, M. Tahani, R. Fahimi & S. Saremian, “Numerical simulation for obtaining optimal impeller’s blade parameters of a centrifugal pump for high-viscosity fluid pumping,” Sustain. Energy Technol. Assessments, vol. 34, pp. 16–26, Aug. 2019. https://doi.org/10.1016/j.seta.2019.04.011 [12] K. Wang, G. Luo, Y. Li, R. Xia & H. Liu, “Multi-condition optimization and experimental verification of impeller for a marine centrifugal pump,” Int. J. Nav. Archit. Ocean Eng., vol. 12, pp. 71–84, Aug. 2019. https://doi.org/10.1016/j. ijnaoe.2019.07.002 [13] Z. Ge, D. He, R. Huang, J. Zuo & X. Luo, “Application of CFD-PBM coupling model for analysis of gas-liquid distribution characteristics in centrifugal pump,” J. Pet. Sci. Eng., vol. 194, p. 107518, Nov. 2020. https://doi.org/10.1016/j.petrol.2020.107518 [14] S.-S. Deng, G.-D. Li, J.-F. Guan, X.-C. Chen & L.-X. Liu, “Numerical study of cavitation in centrifugal pump conveying different liquid materials,” Results Phys., vol. 12, pp. 1834–1839, Mar. 2019. https://doi.org/10.1016/j.rinp.2019.02.009 [15] E. Terzi, A. Cataldo, P. Lorusso & R. Scattolini, “Modelling and predictive control of a recirculating cooling water system for an industrial plant,” J. Process Control, vol. 68, pp. 205–217, Aug. 2018. https://doi.org/10.1016/J.JPROCONT.2018.04.009 [16] T. C. Roumpedakis, S. Chapaloglou, P. Pallis, A-D. Leontaritis, K. Braimakis, S. Karellas & P. Vourliotisa “Experimental Investigation and CFD Analysis of Heat Transfer in Single Phase Subcooler of a Small Scale Waste Heat Recovery ORC,” Energy Procedia, vol. 129, pp. 487–494, Sep. 2017. https://doi.org/10.1016/j.egypro.2017.09.166 [17] H. Quan, Y. Guo, R. Li, Q. Su & Y. Chai, “Optimization design and experimental study of vortex pump based on orthogonal test,” Sci. Prog., vol. 103, no. 1, pp. 1–20, Oct. 2019. https://doi.org/10.1177/0036850419881883 [18] Y. Gao, X. Fan & R. Dang, “Numerical characterization of the effects of flow rate on pressure and velocity distribution of pump as turbine,” Current science, vol. 117, no. 1, pp. 57-63, Aug. 2019. https://doi.org/10.18520/cs/v117/i1/57-63 |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)© The author; licensee Universidad de la Costa - CUC.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Sánchez De la Hoz, José M.Hernández, BrandoDuarte Forero, Jorge2023-07-21T21:03:24Z2023-07-21T21:03:24Z2020J. Sánchez-De la Hoz, B. Hernández y J. Duarte-Forero, “CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers”, LADEE, vol. 1, no. 1, pp. 1–9, 2020. https://doi.org/10.17981/ladee.01.01.2020.1https://hdl.handle.net/11323/1033010.17981/ladee.01.01.2020.12744-9750Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Numerical methodologies have presented an inexpensive solution of laminar and turbulent flows capable of predicting a wide range of mechanical devices in science and engineering. Computational tools have been employed in recent years to analyze the conservation equations behavior used to describe the interaction between turbulent and laminar flows used to transfer the energy needed to perform a complex mechanical system. Due to the above, this paper purpose the application of the numerical method linked to mathematical algorithms capable of generating an approximated solution of the partial differential equations system which determines pressure, and velocity values related to the centrifugal pump performance under low Re conditions in a virtual environment through OpenFOAM software, and Salome 8.3.0. An independence mesh analysis was computed to study the computational effort required to establish an approximated turbulence phenomena description performed by the centrifugal pump into the virtual environment supported by MRFSimpleFoam solver. KeywoLas metodologías numéricas han presentado una solución económica de flujos laminares y turbulentos capaz de predecir una amplia gama de dispositivos mecánicos en la ciencia y la ingeniería. En los últimos años se han empleado herramientas computacionales para analizar el comportamiento de las ecuaciones de conservación utilizadas para describir la interacción entre los flujos turbulentos y laminares utilizados para transferir la energía necesaria para operar un sistema mecánico complejo. Debido a lo anterior, este trabajo propone la aplicación del método numérico vinculado a algoritmos matemáticos capaces de generar una solución aproximada del sistema de ecuaciones diferenciales parciales que determina los valores de presión y velocidad relacionados con el rendimiento de la bomba centrífuga en condiciones de baja Re a través del software OpenFOAM y Salome 8.3.0. Se calculó un análisis de independencia de malla para estudiar el esfuerzo computacional requerido y así establecer una descripción aproximada de los fenómenos de turbulencia producidos por la bomba centrífuga en el entorno virtual que soporta el solver MRFSimpleFoam.9 páginasapplication/pdfengCorporación Universidad de la CostaColombiahttps://revistascientificas.cuc.edu.co/IDEE/article/view/3072CFD analysis of turbulent flows transported by centrifugal pumps under low Re numbersAnálisis CFD de flujos turbulentos desplazados por bombas centrífugas con bajo número de ReynoldsArtículo 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_970fb48d4fbd8a85LADEE[1] T. Capurso, L. Bergamini & M. Torresi, “Design and CFD performance analysis of a novel impeller for double suction centrifugal pumps,” Nucl. Eng. Des., vol. 341, no. 1, pp. 155–166, Jan. 2019, https://doi.org/10.1016/j.nucengdes.2018.11.002[2] S. Emani, M. Ramasamy & K. Z. K. Shaari, “Discrete phase-CFD simulations of asphaltenes particles deposition from crude oil in shell and tube heat exchangers,” Appl. Therm. Eng., vol. 149, pp. 105–118, Feb. 2019, https://doi.org/10.1016/J. APPLTHERMALENG.2018.12.008[3] M. Cagnoli, A. de la Calle, J. Pye, L. Savoldi & R. Zanino, “A CFD-supported dynamic system-level model of a sodiumcooled billboard-type receiver for central tower CSP applications,” Sol. Energy, vol. 177, pp. 576–594, Jan. 2019. https://doi. org/10.1016/J.SOLENER.2018.11.031[4] X. Wang, M. Wang, J. Zhang & Y. Wu, “Study on the water seal formation process in advanced PWR pressurizer using CFD method,” Ann. Nucl. Energy, vol. 135, p. 106949, Jan. 2020. https://doi.org/10.1016/J.ANUCENE.2019.106949[5] O. M. Ilori, A. J. Jaworski & X. Mao, “Experimental and numerical investigations of thermal characteristics of heat exchangers in oscillatory flow,” Appl. Therm. Eng., vol. 144, pp. 910–925, Nov. 2018. https://doi.org/10.1016/J.APPLTHERMALENG.2018.07.073[6] W. Qu, J. Xiong, S. Chen & X. Cheng, “High-fidelity PIV measurement of cross flow in 5 × 5 rod bundle with mixing vane grids,” Nucl. Eng. Des., vol. 344, pp. 131–143, Abr. 2019. https://doi.org/10.1016/j.nucengdes.2019.01.021[7] T. Ziegenhein, D. Lucas, G. Besagni & F. Inzoli, “Experimental study of the liquid velocity and turbulence in a large-scale air-water counter-current bubble column,” Exp. Therm. Fluid Sci., vol. 111, p. 109955, Feb. 2020. https://doi.org/10.1016/j. expthermflusci.2019.109955[8] W. Lyu & O. el Moctar, “Numerical and experimental investigations of wave-induced second order hydrodynamic loads,” Ocean Eng., vol. 131, pp. 197–212, Feb. 2017. https://doi.org/10.1016/j.oceaneng.2016.11.047[9] W. Yu-qin & D. Ze-wen, “Influence of blade number on flow-induced noise of centrifugal pump based on CFD/CA,” Vacuum, vol. 172, p. 109058, Feb. 2020. https://doi.org/10.1016/j.vacuum.2019.109058[10] N. Zhang, J. Jiang, B. Gao & X. Liu, “DDES analysis of unsteady flow evolution and pressure pulsation at off-design condition of a centrifugal pump,” Renew. Energy, vol. 153, pp. 193–204, Jun. 2020. https://doi.org/10.1016/j.renene.2020.02.015[11] H. Yousefi, Y. Noorollahi, M. Tahani, R. Fahimi & S. Saremian, “Numerical simulation for obtaining optimal impeller’s blade parameters of a centrifugal pump for high-viscosity fluid pumping,” Sustain. Energy Technol. Assessments, vol. 34, pp. 16–26, Aug. 2019. https://doi.org/10.1016/j.seta.2019.04.011[12] K. Wang, G. Luo, Y. Li, R. Xia & H. Liu, “Multi-condition optimization and experimental verification of impeller for a marine centrifugal pump,” Int. J. Nav. Archit. Ocean Eng., vol. 12, pp. 71–84, Aug. 2019. https://doi.org/10.1016/j. ijnaoe.2019.07.002[13] Z. Ge, D. He, R. Huang, J. Zuo & X. Luo, “Application of CFD-PBM coupling model for analysis of gas-liquid distribution characteristics in centrifugal pump,” J. Pet. Sci. Eng., vol. 194, p. 107518, Nov. 2020. https://doi.org/10.1016/j.petrol.2020.107518[14] S.-S. Deng, G.-D. Li, J.-F. Guan, X.-C. Chen & L.-X. Liu, “Numerical study of cavitation in centrifugal pump conveying different liquid materials,” Results Phys., vol. 12, pp. 1834–1839, Mar. 2019. https://doi.org/10.1016/j.rinp.2019.02.009[15] E. Terzi, A. Cataldo, P. Lorusso & R. Scattolini, “Modelling and predictive control of a recirculating cooling water system for an industrial plant,” J. Process Control, vol. 68, pp. 205–217, Aug. 2018. https://doi.org/10.1016/J.JPROCONT.2018.04.009[16] T. C. Roumpedakis, S. Chapaloglou, P. Pallis, A-D. Leontaritis, K. Braimakis, S. Karellas & P. Vourliotisa “Experimental Investigation and CFD Analysis of Heat Transfer in Single Phase Subcooler of a Small Scale Waste Heat Recovery ORC,” Energy Procedia, vol. 129, pp. 487–494, Sep. 2017. https://doi.org/10.1016/j.egypro.2017.09.166[17] H. Quan, Y. Guo, R. Li, Q. Su & Y. Chai, “Optimization design and experimental study of vortex pump based on orthogonal test,” Sci. Prog., vol. 103, no. 1, pp. 1–20, Oct. 2019. https://doi.org/10.1177/0036850419881883[18] Y. Gao, X. Fan & R. Dang, “Numerical characterization of the effects of flow rate on pressure and velocity distribution of pump as turbine,” Current science, vol. 117, no. 1, pp. 57-63, Aug. 2019. https://doi.org/10.18520/cs/v117/i1/57-639111CFDTurbulence modelsMesh independence studyOpenFOAMCentrifugal pumpModelos de turbulenciaEstudio de independencia de mallaBomba centrífugaPublicationORIGINALCFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers.pdfCFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers.pdfArtículoapplication/pdf945441https://repositorio.cuc.edu.co/bitstreams/00f4540b-ca05-4da7-badf-42db5b27319e/download6bc85d74fcf9bda83365eeef7c10514dMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/4b735559-57e3-499b-bffd-f32b4745f599/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTCFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers.pdf.txtCFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers.pdf.txtExtracted texttext/plain24359https://repositorio.cuc.edu.co/bitstreams/87519208-e3e7-4055-8e3c-082c43c168f5/download3d8696106431cfe5ae25f4013fe12f07MD53THUMBNAILCFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers.pdf.jpgCFD analysis of turbulent flows transported by centrifugal pumps under low Re numbers.pdf.jpgGenerated Thumbnailimage/jpeg11409https://repositorio.cuc.edu.co/bitstreams/54bba867-593f-49b5-95ef-7fcd2f5b4608/downloadd9666b753736204a7bdcdac9f040d271MD5411323/10330oai:repositorio.cuc.edu.co:11323/103302024-09-17 10:17:21.675https://creativecommons.org/licenses/by-nc-nd/4.0/© The author; licensee Universidad de la Costa - CUC.open.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa 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ada 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.
 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