Group method of uniform surface heat flux from a vertical cone using laminar free convection

Detalhes bibliográficos
Autor(a) principal: Maheshwaran, Tirupathi
Data de Publicação: 2023
Outros Autores: Pullepu, Bapuji, Pinelas, Sandra
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/39816
Resumo: In this study, the Group Transformation method is employed to simulate the laminar free convection problem involving a viscous incompressible fluid on a vertically oriented cone with a uniform heat flux on its surface. The non-dimensional governing partial differential equations (PDEs) and their boundary conditions are reduced to ordinary differential equations (ODEs) with corresponding appropriate conditions. To solve the resulting non-linear ODEs, the Range-Kutta shooting method is applied. The temperature and velocity fields are graphically presented for various parameters, such as the semi-vertical angle and Prandtl number. Furthermore, the local Nusselt number and skin fraction are analyzed numerically.
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spelling Group method of uniform surface heat flux from a vertical cone using laminar free convectionGroup methodHeat transferNatural convectionOrdinary differential equationsPartial differential equationsVertical coneIn this study, the Group Transformation method is employed to simulate the laminar free convection problem involving a viscous incompressible fluid on a vertically oriented cone with a uniform heat flux on its surface. The non-dimensional governing partial differential equations (PDEs) and their boundary conditions are reduced to ordinary differential equations (ODEs) with corresponding appropriate conditions. To solve the resulting non-linear ODEs, the Range-Kutta shooting method is applied. The temperature and velocity fields are graphically presented for various parameters, such as the semi-vertical angle and Prandtl number. Furthermore, the local Nusselt number and skin fraction are analyzed numerically.IIETA2023-12-15T09:58:48Z2023-01-01T00:00:00Z2023info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39816eng2369-073910.18280/mmep.100303Maheshwaran, TirupathiPullepu, BapujiPinelas, Sandrainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:17:13Zoai:ria.ua.pt:10773/39816Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:09:41.714186Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Group method of uniform surface heat flux from a vertical cone using laminar free convection
title Group method of uniform surface heat flux from a vertical cone using laminar free convection
spellingShingle Group method of uniform surface heat flux from a vertical cone using laminar free convection
Maheshwaran, Tirupathi
Group method
Heat transfer
Natural convection
Ordinary differential equations
Partial differential equations
Vertical cone
title_short Group method of uniform surface heat flux from a vertical cone using laminar free convection
title_full Group method of uniform surface heat flux from a vertical cone using laminar free convection
title_fullStr Group method of uniform surface heat flux from a vertical cone using laminar free convection
title_full_unstemmed Group method of uniform surface heat flux from a vertical cone using laminar free convection
title_sort Group method of uniform surface heat flux from a vertical cone using laminar free convection
author Maheshwaran, Tirupathi
author_facet Maheshwaran, Tirupathi
Pullepu, Bapuji
Pinelas, Sandra
author_role author
author2 Pullepu, Bapuji
Pinelas, Sandra
author2_role author
author
dc.contributor.author.fl_str_mv Maheshwaran, Tirupathi
Pullepu, Bapuji
Pinelas, Sandra
dc.subject.por.fl_str_mv Group method
Heat transfer
Natural convection
Ordinary differential equations
Partial differential equations
Vertical cone
topic Group method
Heat transfer
Natural convection
Ordinary differential equations
Partial differential equations
Vertical cone
description In this study, the Group Transformation method is employed to simulate the laminar free convection problem involving a viscous incompressible fluid on a vertically oriented cone with a uniform heat flux on its surface. The non-dimensional governing partial differential equations (PDEs) and their boundary conditions are reduced to ordinary differential equations (ODEs) with corresponding appropriate conditions. To solve the resulting non-linear ODEs, the Range-Kutta shooting method is applied. The temperature and velocity fields are graphically presented for various parameters, such as the semi-vertical angle and Prandtl number. Furthermore, the local Nusselt number and skin fraction are analyzed numerically.
publishDate 2023
dc.date.none.fl_str_mv 2023-12-15T09:58:48Z
2023-01-01T00:00:00Z
2023
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/39816
url http://hdl.handle.net/10773/39816
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2369-0739
10.18280/mmep.100303
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IIETA
publisher.none.fl_str_mv IIETA
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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