A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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/1822/75249 |
Resumo: | This work presents new semi-analytical solutions for the combined fully developed electro-osmotic pressure-driven flow in microchannels of viscoelastic fluids, described by the generalised Phan-Thien–Tanner model (gPTT) recently proposed by Ferrás et al. (Journal of Non-Newtonian Fluid Mechanics, 269:88–99, 2019). This generalised version of the PTT model presents a new function for the trace of the stress tensor—the Mittag–Leffler function—where one or two new fitting constants are considered in order to obtain additional fitting flexibility. The semi-analytical solution is obtained under sufficiently weak electric potential that allows the Debye–Hückel approximation for the electrokinetic fields and for thin electric double layers. Based on the solution, the effects of the various relevant dimensionless numbers are assessed and discussed, such as the influence of εWi2, of the parameters α and β of the gPTT model, and also of κ¯, the dimensionless Debye–Hückel parameter. We conclude that the new model characteristics enhance the effects of both εWi2 and κ¯ on the velocity distribution across the microchannels. The effects of a high zeta potential and of the finite size of ions are also studied numerically. |
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A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluidElectro-osmotic/pressure-driven flowsGeneralised simplified PTTHigh zeta potentialMittag–LefflerSteric effectElectro-osmoticpressure-driven flowsCiências Naturais::MatemáticasEngenharia e Tecnologia::Engenharia MecânicaScience & TechnologyThis work presents new semi-analytical solutions for the combined fully developed electro-osmotic pressure-driven flow in microchannels of viscoelastic fluids, described by the generalised Phan-Thien–Tanner model (gPTT) recently proposed by Ferrás et al. (Journal of Non-Newtonian Fluid Mechanics, 269:88–99, 2019). This generalised version of the PTT model presents a new function for the trace of the stress tensor—the Mittag–Leffler function—where one or two new fitting constants are considered in order to obtain additional fitting flexibility. The semi-analytical solution is obtained under sufficiently weak electric potential that allows the Debye–Hückel approximation for the electrokinetic fields and for thin electric double layers. Based on the solution, the effects of the various relevant dimensionless numbers are assessed and discussed, such as the influence of εWi2, of the parameters α and β of the gPTT model, and also of κ¯, the dimensionless Debye–Hückel parameter. We conclude that the new model characteristics enhance the effects of both εWi2 and κ¯ on the velocity distribution across the microchannels. The effects of a high zeta potential and of the finite size of ions are also studied numerically.A.M. Ribau would like to thank FCT - Fundacao para a Ciencia e a Tecnologia, for financial support through scholarship SFRH/BD/143950/2019. A.M. Ribau, A.M. Afonso, M.A. Alves and F.T Pinho also acknowledge FCT for financial support through projects UIDB/00532/2020 and UIDP/00532/2020 of CEFT (Centro de Estudos de Fenomenos de Transporte), and project PTDC/EMS-ENE/3362/2014-POCI-01-0145-FEDER-016665-funded by FEDER funds through COMPETE2020-Programa Operacional Competitividade e Internacionalizacao (POCI) and by national funds through FCT. L.L. Ferras would also like to thank FCT for financial support through scholarship SFRH/BPD/100353/2014 and projects UIDB/00013/2020 and UIDP/00013/2020. M.L. Morgado acknowledges funding by FCT through project UID/Multi/04621/2019 of CEMAT/IST-ID, Center for Computational and Stochastic Mathematics, Instituto Superior Tecnico, University of Lisbon. This work was partially supported by Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through project UIDB/00297/2020 (Centro deMatematica e Aplicacoes). The authors also acknowledge financial support from COST Action CA15225, a network supported by COST (European Cooperation in Science and Technology).SpringerUniversidade do MinhoRibau, A. M.Ferrás, Luís Jorge LimaMorgado, M. L.Rebelo, M.Alves, M. A.Pinho, F. T.Afonso, A. M.2021-03-032021-03-03T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/75249engRibau, A.M., Ferrás, L.L., Morgado, M.L. et al. A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid. J Eng Math 127, 7 (2021). https://doi.org/10.1007/s10665-020-10071-60022-08331573-270310.1007/s10665-020-10071-67https://link.springer.com/article/10.1007%2Fs10665-020-10071-6info: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:RCAAP2023-07-21T11:57:21Zoai:repositorium.sdum.uminho.pt:1822/75249Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:47:01.013293Repositório 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 |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
title |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
spellingShingle |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid Ribau, A. M. Electro-osmotic/pressure-driven flows Generalised simplified PTT High zeta potential Mittag–Leffler Steric effect Electro-osmotic pressure-driven flows Ciências Naturais::Matemáticas Engenharia e Tecnologia::Engenharia Mecânica Science & Technology |
title_short |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
title_full |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
title_fullStr |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
title_full_unstemmed |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
title_sort |
A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid |
author |
Ribau, A. M. |
author_facet |
Ribau, A. M. Ferrás, Luís Jorge Lima Morgado, M. L. Rebelo, M. Alves, M. A. Pinho, F. T. Afonso, A. M. |
author_role |
author |
author2 |
Ferrás, Luís Jorge Lima Morgado, M. L. Rebelo, M. Alves, M. A. Pinho, F. T. Afonso, A. M. |
author2_role |
author author author author author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Ribau, A. M. Ferrás, Luís Jorge Lima Morgado, M. L. Rebelo, M. Alves, M. A. Pinho, F. T. Afonso, A. M. |
dc.subject.por.fl_str_mv |
Electro-osmotic/pressure-driven flows Generalised simplified PTT High zeta potential Mittag–Leffler Steric effect Electro-osmotic pressure-driven flows Ciências Naturais::Matemáticas Engenharia e Tecnologia::Engenharia Mecânica Science & Technology |
topic |
Electro-osmotic/pressure-driven flows Generalised simplified PTT High zeta potential Mittag–Leffler Steric effect Electro-osmotic pressure-driven flows Ciências Naturais::Matemáticas Engenharia e Tecnologia::Engenharia Mecânica Science & Technology |
description |
This work presents new semi-analytical solutions for the combined fully developed electro-osmotic pressure-driven flow in microchannels of viscoelastic fluids, described by the generalised Phan-Thien–Tanner model (gPTT) recently proposed by Ferrás et al. (Journal of Non-Newtonian Fluid Mechanics, 269:88–99, 2019). This generalised version of the PTT model presents a new function for the trace of the stress tensor—the Mittag–Leffler function—where one or two new fitting constants are considered in order to obtain additional fitting flexibility. The semi-analytical solution is obtained under sufficiently weak electric potential that allows the Debye–Hückel approximation for the electrokinetic fields and for thin electric double layers. Based on the solution, the effects of the various relevant dimensionless numbers are assessed and discussed, such as the influence of εWi2, of the parameters α and β of the gPTT model, and also of κ¯, the dimensionless Debye–Hückel parameter. We conclude that the new model characteristics enhance the effects of both εWi2 and κ¯ on the velocity distribution across the microchannels. The effects of a high zeta potential and of the finite size of ions are also studied numerically. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-03-03 2021-03-03T00:00:00Z |
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/1822/75249 |
url |
http://hdl.handle.net/1822/75249 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Ribau, A.M., Ferrás, L.L., Morgado, M.L. et al. A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien–Tanner fluid. J Eng Math 127, 7 (2021). https://doi.org/10.1007/s10665-020-10071-6 0022-0833 1573-2703 10.1007/s10665-020-10071-6 7 https://link.springer.com/article/10.1007%2Fs10665-020-10071-6 |
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 |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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