Analytical model for the prediction of permeability of triply periodic minimal surfaces

Triply periodic minimal surfaces (TPMS) are mathematically defined cellular structures whose geometry can be quickly adapted to target desired mechanical response (structural and fluid). This has made them desirable for a wide range of bioengineering applications; especially as bioinspired materials...

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Detalles Bibliográficos
Autores: Asbai-Ghoudan, R. (Reduan)|||/items/a2a5210b-c356-465e-b204-9195272f76d2, Ruiz-de-Galarreta-Moriones, S.(Sergio)|||/items/3320edac-66b8-4179-b4c1-ded047961ad3, Rodríguez-Florez, N. (Naiara)|||/items/0e6cedfb-6a96-4e19-b698-c97e11c6d94c
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/63360
Acceso en línea:https://hdl.handle.net/10171/63360
Access Level:acceso abierto
Palabra clave:Cellular porous structures
Triply periodic minimal surfaces
Permeability
Computational fluid dynamics
Hagen-Poiseuille's law
Analytical model
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spelling Analytical model for the prediction of permeability of triply periodic minimal surfacesAsbai-Ghoudan, R. (Reduan)|||/items/a2a5210b-c356-465e-b204-9195272f76d2Ruiz-de-Galarreta-Moriones, S.(Sergio)|||/items/3320edac-66b8-4179-b4c1-ded047961ad3Rodríguez-Florez, N. (Naiara)|||/items/0e6cedfb-6a96-4e19-b698-c97e11c6d94cCellular porous structuresTriply periodic minimal surfacesPermeabilityComputational fluid dynamicsHagen-Poiseuille's lawAnalytical modelTriply periodic minimal surfaces (TPMS) are mathematically defined cellular structures whose geometry can be quickly adapted to target desired mechanical response (structural and fluid). This has made them desirable for a wide range of bioengineering applications; especially as bioinspired materials for bone replacement. The main objective of this study was to develop a novel analytical framework which would enable calculating permeability of TPMS structures based on the desired architecture, pore size and porosity. To achieve this, computer-aided designs of three TPMS structures (Fisher-Koch S, Gyroid and Schwarz P) were generated with varying cell size and porosity levels. Computational Fluid Dynamics (CFD) was used to calculate permeability for all models under laminar flow conditions. Permeability values were then used to fit an analytical model dependent on geometry parameters only. Results showed that permeability of the three architectures increased with porosity at different rates, highlighting the importance of pore distribution and architecture. The computed values of permeability fitted well with the suggested analytical model (R2>0.99, p<0.001). In conclusion, the novel analytical framework presented in the current study enables predicting permeability values of TPMS structures based on geometrical parameters within a difference <5%. This model, which could be combined with existing structural analytical models, could open new possibilities for the smart optimisation of TPMS structures for biomedical applications where structural and fluid flow properties need to be optimised.ElsevierDadun. Depósito Académico Digital Universidad de Navarra20222022-04-0620212021-01-0120212021-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10171/63360reponame:Dadun. Depósito Académico Digital de la Universidad de Navarrainstname:Universidad de NavarraInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:dadun.unav.edu:10171/633602026-06-21T12:47:57Z
dc.title.none.fl_str_mv Analytical model for the prediction of permeability of triply periodic minimal surfaces
title Analytical model for the prediction of permeability of triply periodic minimal surfaces
spellingShingle Analytical model for the prediction of permeability of triply periodic minimal surfaces
Asbai-Ghoudan, R. (Reduan)|||/items/a2a5210b-c356-465e-b204-9195272f76d2
Cellular porous structures
Triply periodic minimal surfaces
Permeability
Computational fluid dynamics
Hagen-Poiseuille's law
Analytical model
title_short Analytical model for the prediction of permeability of triply periodic minimal surfaces
title_full Analytical model for the prediction of permeability of triply periodic minimal surfaces
title_fullStr Analytical model for the prediction of permeability of triply periodic minimal surfaces
title_full_unstemmed Analytical model for the prediction of permeability of triply periodic minimal surfaces
title_sort Analytical model for the prediction of permeability of triply periodic minimal surfaces
dc.creator.none.fl_str_mv Asbai-Ghoudan, R. (Reduan)|||/items/a2a5210b-c356-465e-b204-9195272f76d2
Ruiz-de-Galarreta-Moriones, S.(Sergio)|||/items/3320edac-66b8-4179-b4c1-ded047961ad3
Rodríguez-Florez, N. (Naiara)|||/items/0e6cedfb-6a96-4e19-b698-c97e11c6d94c
author Asbai-Ghoudan, R. (Reduan)|||/items/a2a5210b-c356-465e-b204-9195272f76d2
author_facet Asbai-Ghoudan, R. (Reduan)|||/items/a2a5210b-c356-465e-b204-9195272f76d2
Ruiz-de-Galarreta-Moriones, S.(Sergio)|||/items/3320edac-66b8-4179-b4c1-ded047961ad3
Rodríguez-Florez, N. (Naiara)|||/items/0e6cedfb-6a96-4e19-b698-c97e11c6d94c
author_role author
author2 Ruiz-de-Galarreta-Moriones, S.(Sergio)|||/items/3320edac-66b8-4179-b4c1-ded047961ad3
Rodríguez-Florez, N. (Naiara)|||/items/0e6cedfb-6a96-4e19-b698-c97e11c6d94c
author2_role author
author
dc.contributor.none.fl_str_mv Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Cellular porous structures
Triply periodic minimal surfaces
Permeability
Computational fluid dynamics
Hagen-Poiseuille's law
Analytical model
topic Cellular porous structures
Triply periodic minimal surfaces
Permeability
Computational fluid dynamics
Hagen-Poiseuille's law
Analytical model
description Triply periodic minimal surfaces (TPMS) are mathematically defined cellular structures whose geometry can be quickly adapted to target desired mechanical response (structural and fluid). This has made them desirable for a wide range of bioengineering applications; especially as bioinspired materials for bone replacement. The main objective of this study was to develop a novel analytical framework which would enable calculating permeability of TPMS structures based on the desired architecture, pore size and porosity. To achieve this, computer-aided designs of three TPMS structures (Fisher-Koch S, Gyroid and Schwarz P) were generated with varying cell size and porosity levels. Computational Fluid Dynamics (CFD) was used to calculate permeability for all models under laminar flow conditions. Permeability values were then used to fit an analytical model dependent on geometry parameters only. Results showed that permeability of the three architectures increased with porosity at different rates, highlighting the importance of pore distribution and architecture. The computed values of permeability fitted well with the suggested analytical model (R2>0.99, p<0.001). In conclusion, the novel analytical framework presented in the current study enables predicting permeability values of TPMS structures based on geometrical parameters within a difference <5%. This model, which could be combined with existing structural analytical models, could open new possibilities for the smart optimisation of TPMS structures for biomedical applications where structural and fluid flow properties need to be optimised.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
2021
2021-01-01
2022
2022-04-06
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10171/63360
url https://hdl.handle.net/10171/63360
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Dadun. Depósito Académico Digital de la Universidad de Navarra
instname:Universidad de Navarra
instname_str Universidad de Navarra
reponame_str Dadun. Depósito Académico Digital de la Universidad de Navarra
collection Dadun. Depósito Académico Digital de la Universidad de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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