Numerical study of the physical processes of gas leakage in the compression ring in diesel engines

In this research, the construction of a numerical model is proposed for the analysis of the friction processes and the thickness of the lubrication film present in the compression ring of internal combustion engines. The model is built using MATLAB software, and three load conditions are used as ref...

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Autores:
Pabón León, J A
Rojas Suárez, J P
Orjuela Abril, M S
Tipo de recurso:
Article of journal
Fecha de publicación:
2021
Institución:
UNIVERSIDAD FRANCISCO DE PAULA SANTANDER
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/6636
Acceso en línea:
https://repositorio.ufps.edu.co/handle/ufps/6636
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openAccess
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© Copyright 2022 IOP Publishing
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dc.title.eng.fl_str_mv Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
title Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
spellingShingle Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
title_short Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
title_full Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
title_fullStr Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
title_full_unstemmed Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
title_sort Numerical study of the physical processes of gas leakage in the compression ring in diesel engines
dc.creator.fl_str_mv Pabón León, J A
Rojas Suárez, J P
Orjuela Abril, M S
dc.contributor.author.none.fl_str_mv Pabón León, J A
Rojas Suárez, J P
Orjuela Abril, M S
dc.contributor.corporatename.spa.fl_str_mv Journal of Physics: Conference Series
description In this research, the construction of a numerical model is proposed for the analysis of the friction processes and the thickness of the lubrication film present in the compression ring of internal combustion engines. The model is built using MATLAB software, and three load conditions are used as reference (2 Nm, 4 Nm, and 6 Nm) with a rotation speed of 3600 rpm, which correspond to a stationary single-cylinder diesel engine. Comparison between model estimates and experimental results show that the development model could predict the actual engine conditions. The deviation between the numerical model and the experimental data was 17%. It was shown that the increase in engine load causes a 16% increase in the friction force of the compression ring, which implies a 50% increase in power loss due to friction processes. In general, the model developed allows the analysis of the friction processes in the compression ring and its effect on the lubrication film, considering the leakage of the combustion gases. In this way, the construction of a more complex mathematical model is achieved, which allows improving the precision in the analyzes related to the interaction between the compression ring and the cylinder liner.
publishDate 2021
dc.date.issued.none.fl_str_mv 2021-09-03
dc.date.accessioned.none.fl_str_mv 2022-12-05T14:18:22Z
dc.date.available.none.fl_str_mv 2022-12-05T14:18:22Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv 17426588
dc.identifier.uri.none.fl_str_mv https://repositorio.ufps.edu.co/handle/ufps/6636
dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/2118/1/012016
identifier_str_mv 17426588
10.1088/1742-6596/2118/1/012016
url https://repositorio.ufps.edu.co/handle/ufps/6636
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationissue.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 2118
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Physics: Conference Series
dc.rights.eng.fl_str_mv © Copyright 2022 IOP Publishing
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
rights_invalid_str_mv © Copyright 2022 IOP Publishing
https://creativecommons.org/licenses/by/4.0/
Atribución 4.0 Internacional (CC BY 4.0)
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eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 8 páginas
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institution UNIVERSIDAD FRANCISCO DE PAULA SANTANDER
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spelling Pabón León, J Aa278f0dabd5884d1df40592766a4a27eRojas Suárez, J P2e6246c21de47d0a56c341329786ab2aOrjuela Abril, M S882cc78a2b568f7eafba50b4118e8e89Journal of Physics: Conference Series2022-12-05T14:18:22Z2022-12-05T14:18:22Z2021-09-0317426588https://repositorio.ufps.edu.co/handle/ufps/663610.1088/1742-6596/2118/1/012016In this research, the construction of a numerical model is proposed for the analysis of the friction processes and the thickness of the lubrication film present in the compression ring of internal combustion engines. The model is built using MATLAB software, and three load conditions are used as reference (2 Nm, 4 Nm, and 6 Nm) with a rotation speed of 3600 rpm, which correspond to a stationary single-cylinder diesel engine. Comparison between model estimates and experimental results show that the development model could predict the actual engine conditions. The deviation between the numerical model and the experimental data was 17%. It was shown that the increase in engine load causes a 16% increase in the friction force of the compression ring, which implies a 50% increase in power loss due to friction processes. In general, the model developed allows the analysis of the friction processes in the compression ring and its effect on the lubrication film, considering the leakage of the combustion gases. In this way, the construction of a more complex mathematical model is achieved, which allows improving the precision in the analyzes related to the interaction between the compression ring and the cylinder liner.8 páginasapplication/pdfeng© Copyright 2022 IOP Publishinghttps://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/10.1088/1742-6596/2118/1/012016/pdfNumerical study of the physical processes of gas leakage in the compression ring in diesel enginesArtículo 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_970fb48d4fbd8a8512118Journal of Physics: Conference SeriesConsuegra F, Bula A, Guillín W, Sánchez J, Duarte Forero J 2019 Instantaneous in-cylinder volume considering deformation and clearance due to lubricating film in reciprocating internal combustion engines Energies 12(8) 1437Hernández B, Maestre D, Pardo C, Fonseca M D S, Pabón J 2021 Influence of compression rings on the dynamic characteristics and sealing capacity of the combustion chamber in diesel engines Lubricants 9(3) 25Holmberg K, Andersson P, Erdemir A 2012 Global energy consumption due to friction in passenger cars Tribology International 47 221Tormos B, Martin J, Pla B, Jimenez-Reyes A J 2020 A methodology to estimate mechanical losses and its distribution during a real driving cycle Tribology International 145 106208Koszalka G, Hunicz J 2021 Comparative study of energy losses related to the ring pack operation in homogeneous charge compression ignition and spark ignition combustion Energy 235 121388Forero J D, Ochoa G V, Alvarado W P 2020 Study of the piston secondary movement on the tribological performance of a single cylinder low-displacement diesel engine Lubricants 8(11) 97Baelden C, Tian T 2014 A dual grid curved beam finite element model of piston rings for improved contact capabilities SAE International Journal of Engines 7(1) 156Baker C, Rahmani R, Theodossiades S, Rahnejat H, Fitzsimons B 2015 On the effect of transient in-plane dynamics of the compression ring upon its tribological performance Journal of Engineering for Gas Turbines and Power 137(3) 032512Xu Y, Zheng Q, Geng J, Dong Y, Tian M, Yao L, Dearn K D 2019 Synergistic effects of electroless piston ring coatings and nano-additives in oil on the friction and wear of a piston ring/cylinder liner pair Wear 422 201Peng Y, Xu Y, Geng J, Dearn K D, Hu X 2017 Tribological assessment of coated piston ring-cylinder liner contacts under bio-oil lubricated conditions Tribology International 107 283Baker C, Rahmani R, Karagiannis I, Theodossiades S, Rahnejat H, Frendt A 2014 Effect of compression ring elastodynamics behaviour upon blowby and power loss SAE Technical Paper 2014-01-1669 1Tian T 2002 Dynamic behaviours of piston rings and their practical impact. Part 2: Oil transport, friction and wear of ring/liner interface and the effects of piston and ring dynamics Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 216(4) 229Patir N, Cheng H S 1978 An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication Journal of Lubrication Technology 100(1) 12Houpert L 1985 New results of traction force calculations in elastohydrodynamic contacts Journal of Tribology 107(2) 241Dowson D, Higginson G R 1959 A numerical solution to the elasto-hydrodynamic problem Journal of Mechanical Engineering Science 1(1) 6Rahnejat H 2005 Multi-Body Dynamics. Vehicles, Machines, and Mechanisms (Bury St Edmunds: John Wiley & Sons Ltd)Zavos A, Nikolakopoulos P G 2021 Investigation of the top compression ring power loss and energy consumption for different engine conditions Tribology-Materials, Surfaces & Interfaces 1Kurbet S N, Kumar R K 2007 Finite element modelling of piston-ring dynamics and blow-by estimation in a four-cylinder diesel engine Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 221(11) 1405Woods W A 1991 On the role of the harmonic mean isentropic exponent in the analysis of the closed-cycle gas turbine Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 205(4) 287Gore M, Theaker M, Howell-Smith S, Rahnejat H, King P D 2014 Direct measurement of piston friction of internal-combustion engines using the floating-liner principle Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 228(3) 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Thumbnailimage/jpeg9398https://repositorio.ufps.edu.co/bitstream/ufps/6636/4/Pab%c3%b3n_Le%c3%b3n_2021_J._Phys.__Conf._Ser._2118_012016.pdf.jpg2b10604d9d15f3b10fa641e7bd5d61cfMD54open accessufps/6636oai:repositorio.ufps.edu.co:ufps/66362022-12-06 03:00:59.338An error occurred on the license name.|||https://creativecommons.org/licenses/by/4.0/open accessRepositorio Universidad Francisco de Paula 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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.
