Optimal branching structure of fluidic networks with permeable walls
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/10174/21200 https://doi.org/doi.org/10.1155/2017/5284816 |
Resumo: | Biological and engineering studies of Hess-Murray’s law are focused on assemblies of tubes with impermeable walls. Blood vessels and airways have permeable walls to allow the exchange of fluid and other dissolved substances with tissues. Should Hess-Murray’s law hold for bifurcating systems in which the walls of the vessels are permeable to fluid? This paper investigates the fluid flow in a porous-walled T-shaped assembly of vessels. Fluid flow in this branching flow structure is studied numerically to predict the configuration that provides greater access to the flow. Our findings indicate, among other results, that an asymmetric flow (i.e., breaking the symmetry of the flow distribution) may occur in this symmetrical dichotomous system. To derive expressions for the optimum branching sizes, the hydraulic resistance of the branched system is computed. Here we show the T-shaped assembly of vessels is only conforming to Hess-Murray’s law optimum as long as they have impervious walls. Findings also indicate that the optimum relationship between the sizes of parent and daughter tubes depends on the wall permeability of the assembled tubes. Our results agree with analytical results obtained from a variety of sources and provide new insights into the dynamics within the assembly of vessels. |
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Optimal branching structure of fluidic networks with permeable wallsBranching StructuresFluidic NetworksBlood vesselslungsBiological and engineering studies of Hess-Murray’s law are focused on assemblies of tubes with impermeable walls. Blood vessels and airways have permeable walls to allow the exchange of fluid and other dissolved substances with tissues. Should Hess-Murray’s law hold for bifurcating systems in which the walls of the vessels are permeable to fluid? This paper investigates the fluid flow in a porous-walled T-shaped assembly of vessels. Fluid flow in this branching flow structure is studied numerically to predict the configuration that provides greater access to the flow. Our findings indicate, among other results, that an asymmetric flow (i.e., breaking the symmetry of the flow distribution) may occur in this symmetrical dichotomous system. To derive expressions for the optimum branching sizes, the hydraulic resistance of the branched system is computed. Here we show the T-shaped assembly of vessels is only conforming to Hess-Murray’s law optimum as long as they have impervious walls. Findings also indicate that the optimum relationship between the sizes of parent and daughter tubes depends on the wall permeability of the assembled tubes. Our results agree with analytical results obtained from a variety of sources and provide new insights into the dynamics within the assembly of vessels.2017-07-13T15:28:29Z2017-07-132017-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/21200http://hdl.handle.net/10174/21200https://doi.org/doi.org/10.1155/2017/5284816engV. R. Pepe, L. A. O. Rocha, A. F. Miguel (2017) Optimal branching structure of fluidic networks with permeable walls. BioMed Research International 2017, 5284816ICTndndafm@uevora.pt362Pepe, V. R.Rocha, L.A.OMiguel, 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:RCAAP2024-01-03T19:11:24Zoai:dspace.uevora.pt:10174/21200Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:12:23.331547Repositório 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 |
Optimal branching structure of fluidic networks with permeable walls |
title |
Optimal branching structure of fluidic networks with permeable walls |
spellingShingle |
Optimal branching structure of fluidic networks with permeable walls Pepe, V. R. Branching Structures Fluidic Networks Blood vessels lungs |
title_short |
Optimal branching structure of fluidic networks with permeable walls |
title_full |
Optimal branching structure of fluidic networks with permeable walls |
title_fullStr |
Optimal branching structure of fluidic networks with permeable walls |
title_full_unstemmed |
Optimal branching structure of fluidic networks with permeable walls |
title_sort |
Optimal branching structure of fluidic networks with permeable walls |
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 |
Branching Structures Fluidic Networks Blood vessels lungs |
topic |
Branching Structures Fluidic Networks Blood vessels lungs |
description |
Biological and engineering studies of Hess-Murray’s law are focused on assemblies of tubes with impermeable walls. Blood vessels and airways have permeable walls to allow the exchange of fluid and other dissolved substances with tissues. Should Hess-Murray’s law hold for bifurcating systems in which the walls of the vessels are permeable to fluid? This paper investigates the fluid flow in a porous-walled T-shaped assembly of vessels. Fluid flow in this branching flow structure is studied numerically to predict the configuration that provides greater access to the flow. Our findings indicate, among other results, that an asymmetric flow (i.e., breaking the symmetry of the flow distribution) may occur in this symmetrical dichotomous system. To derive expressions for the optimum branching sizes, the hydraulic resistance of the branched system is computed. Here we show the T-shaped assembly of vessels is only conforming to Hess-Murray’s law optimum as long as they have impervious walls. Findings also indicate that the optimum relationship between the sizes of parent and daughter tubes depends on the wall permeability of the assembled tubes. Our results agree with analytical results obtained from a variety of sources and provide new insights into the dynamics within the assembly of vessels. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-07-13T15:28:29Z 2017-07-13 2017-04-01T00:00:00Z |
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/10174/21200 http://hdl.handle.net/10174/21200 https://doi.org/doi.org/10.1155/2017/5284816 |
url |
http://hdl.handle.net/10174/21200 https://doi.org/doi.org/10.1155/2017/5284816 |
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) Optimal branching structure of fluidic networks with permeable walls. BioMed Research International 2017, 5284816 ICT nd nd afm@uevora.pt 362 |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799136605760389120 |