IS IT HESS-MURRAY LAW ALWAYS VALID?
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/21202 |
Resumo: | Complex flow systems such as the vascular and respiratory trees are made of large and small ducts in series. While the literature has reported extensively cases that are in agreement with Hess-Murray law, there are also branching patterns of natural systems that deviate from this law. Is it this deviation to Hess-Murray law possible to predict? In this study, a numerical analysis was carried out to investigate laminar fluid flow of Newtonian and non-Newtonian fluids in T-shaped flow structures with different ratios between the sizes of parent and daughter ducts. The performance of the branching systems was evaluated in terms of total hydraulic resistance and distribution of shear stresses. We showed that the optimal design of a bifurcating ducts not always match a constant reduction factor of 2^(-1/3) for the duct sizes. The results were compared with nalytical results obtained based on constructal law. |
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IS IT HESS-MURRAY LAW ALWAYS VALID?tree flow networksoptimal designNewtonian and non-Newtonian fluidsHess-Murray lawpower-law fluidsnumerical studyconstructal lawComplex flow systems such as the vascular and respiratory trees are made of large and small ducts in series. While the literature has reported extensively cases that are in agreement with Hess-Murray law, there are also branching patterns of natural systems that deviate from this law. Is it this deviation to Hess-Murray law possible to predict? In this study, a numerical analysis was carried out to investigate laminar fluid flow of Newtonian and non-Newtonian fluids in T-shaped flow structures with different ratios between the sizes of parent and daughter ducts. The performance of the branching systems was evaluated in terms of total hydraulic resistance and distribution of shear stresses. We showed that the optimal design of a bifurcating ducts not always match a constant reduction factor of 2^(-1/3) for the duct sizes. The results were compared with nalytical results obtained based on constructal law.2017-07-13T15:29:28Z2017-07-132017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/21202http://hdl.handle.net/10174/21202engV. R. Pepe, L. A. O. Rocha, A. F. Miguel (2017) Is it the Hess-Murray law always valid? Proceedings of the Constructal Law Conference 2017,The Publishing House of the Romanian Academy, Bucharest, Romania (eds.: Morega and Lorente) May 2017, pp. 444-455978-973-27-2748-5ICTndndafm@uevora.pt232Pepe, V. R.Rocha, L. A. O.Miguel, A. F.info: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:RCAAP2024-01-03T19:11:35Zoai:dspace.uevora.pt:10174/21202Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:12:28.736389Repositório 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 |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
title |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
spellingShingle |
IS IT HESS-MURRAY LAW ALWAYS VALID? Pepe, V. R. tree flow networks optimal design Newtonian and non-Newtonian fluids Hess-Murray law power-law fluids numerical study constructal law |
title_short |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
title_full |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
title_fullStr |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
title_full_unstemmed |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
title_sort |
IS IT HESS-MURRAY LAW ALWAYS VALID? |
author |
Pepe, V. R. |
author_facet |
Pepe, V. R. Rocha, L. A. O. Miguel, A. F. |
author_role |
author |
author2 |
Rocha, L. A. O. Miguel, A. F. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Pepe, V. R. Rocha, L. A. O. Miguel, A. F. |
dc.subject.por.fl_str_mv |
tree flow networks optimal design Newtonian and non-Newtonian fluids Hess-Murray law power-law fluids numerical study constructal law |
topic |
tree flow networks optimal design Newtonian and non-Newtonian fluids Hess-Murray law power-law fluids numerical study constructal law |
description |
Complex flow systems such as the vascular and respiratory trees are made of large and small ducts in series. While the literature has reported extensively cases that are in agreement with Hess-Murray law, there are also branching patterns of natural systems that deviate from this law. Is it this deviation to Hess-Murray law possible to predict? In this study, a numerical analysis was carried out to investigate laminar fluid flow of Newtonian and non-Newtonian fluids in T-shaped flow structures with different ratios between the sizes of parent and daughter ducts. The performance of the branching systems was evaluated in terms of total hydraulic resistance and distribution of shear stresses. We showed that the optimal design of a bifurcating ducts not always match a constant reduction factor of 2^(-1/3) for the duct sizes. The results were compared with nalytical results obtained based on constructal law. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-07-13T15:29:28Z 2017-07-13 2017-01-01T00:00:00Z |
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/10174/21202 http://hdl.handle.net/10174/21202 |
url |
http://hdl.handle.net/10174/21202 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
V. R. Pepe, L. A. O. Rocha, A. F. Miguel (2017) Is it the Hess-Murray law always valid? Proceedings of the Constructal Law Conference 2017,The Publishing House of the Romanian Academy, Bucharest, Romania (eds.: Morega and Lorente) May 2017, pp. 444-455 978-973-27-2748-5 ICT nd nd afm@uevora.pt 232 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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 |
institution |
RCAAP |
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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1799136606515363840 |