Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn

Detalhes bibliográficos
Autor(a) principal: Fangueiro, Raúl
Data de Publicação: 2011
Outros Autores: Das, Brojeswari, Das, Apurba, Kothari, Vijay K.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/15764
Resumo: Theoretical models have been proposed in this article (Parts I and II) to predict the vertical wicking behaviour of yarns and fabrics based on different fibre, yarn and fabric parameters. The first part of this article deals with the modelling of flow through yarn during vertical wicking, whereas the second part deals with the modelling of vertical wicking through the fabric. The yarn model has been developed based on the Laplace equation and the Hagen– Poiseuille’s equation on fluid flow; pore geometry has been determined as per the yarn structure. Factors such as fibre contact angle, number of filaments in a yarn, fibre denier, fibre cross-sectional shape, yarn denier and twist level in the yarn have been taken into account for development of the model. Lambertw, a mathematical function, has been incorporated, which helps to predict vertical wicking height at any given time, considering the gravitational effects. Experimental verification of the model has been carried out using polyester yarns. The model was found to predict the wicking height with time through the yarns with reasonable accuracy. Based on the proposed yarn model, a mathematical model has been developed to predict the vertical wicking through plain woven fabric in the second part of this article.
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spelling Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarnVertical wickingCapillary actionLaplace equationHagen–poiseuille’s equationLambertw functionScience & TechnologyTheoretical models have been proposed in this article (Parts I and II) to predict the vertical wicking behaviour of yarns and fabrics based on different fibre, yarn and fabric parameters. The first part of this article deals with the modelling of flow through yarn during vertical wicking, whereas the second part deals with the modelling of vertical wicking through the fabric. The yarn model has been developed based on the Laplace equation and the Hagen– Poiseuille’s equation on fluid flow; pore geometry has been determined as per the yarn structure. Factors such as fibre contact angle, number of filaments in a yarn, fibre denier, fibre cross-sectional shape, yarn denier and twist level in the yarn have been taken into account for development of the model. Lambertw, a mathematical function, has been incorporated, which helps to predict vertical wicking height at any given time, considering the gravitational effects. Experimental verification of the model has been carried out using polyester yarns. The model was found to predict the wicking height with time through the yarns with reasonable accuracy. Based on the proposed yarn model, a mathematical model has been developed to predict the vertical wicking through plain woven fabric in the second part of this article.Taylor and FrancisUniversidade do MinhoFangueiro, RaúlDas, BrojeswariDas, ApurbaKothari, Vijay K.2011-12-232011-12-23T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/15764eng0040-500010.1080/00405000.2010.529281info: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:RCAAP2023-07-21T12:45:35Zoai:repositorium.sdum.uminho.pt:1822/15764Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:43:27.424914Repositório 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 Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
title Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
spellingShingle Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
Fangueiro, Raúl
Vertical wicking
Capillary action
Laplace equation
Hagen–poiseuille’s equation
Lambertw function
Science & Technology
title_short Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
title_full Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
title_fullStr Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
title_full_unstemmed Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
title_sort Development of mathematical model to predict vertical wicking behaviour. Part I : flow through yarn
author Fangueiro, Raúl
author_facet Fangueiro, Raúl
Das, Brojeswari
Das, Apurba
Kothari, Vijay K.
author_role author
author2 Das, Brojeswari
Das, Apurba
Kothari, Vijay K.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Fangueiro, Raúl
Das, Brojeswari
Das, Apurba
Kothari, Vijay K.
dc.subject.por.fl_str_mv Vertical wicking
Capillary action
Laplace equation
Hagen–poiseuille’s equation
Lambertw function
Science & Technology
topic Vertical wicking
Capillary action
Laplace equation
Hagen–poiseuille’s equation
Lambertw function
Science & Technology
description Theoretical models have been proposed in this article (Parts I and II) to predict the vertical wicking behaviour of yarns and fabrics based on different fibre, yarn and fabric parameters. The first part of this article deals with the modelling of flow through yarn during vertical wicking, whereas the second part deals with the modelling of vertical wicking through the fabric. The yarn model has been developed based on the Laplace equation and the Hagen– Poiseuille’s equation on fluid flow; pore geometry has been determined as per the yarn structure. Factors such as fibre contact angle, number of filaments in a yarn, fibre denier, fibre cross-sectional shape, yarn denier and twist level in the yarn have been taken into account for development of the model. Lambertw, a mathematical function, has been incorporated, which helps to predict vertical wicking height at any given time, considering the gravitational effects. Experimental verification of the model has been carried out using polyester yarns. The model was found to predict the wicking height with time through the yarns with reasonable accuracy. Based on the proposed yarn model, a mathematical model has been developed to predict the vertical wicking through plain woven fabric in the second part of this article.
publishDate 2011
dc.date.none.fl_str_mv 2011-12-23
2011-12-23T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/15764
url http://hdl.handle.net/1822/15764
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0040-5000
10.1080/00405000.2010.529281
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 Taylor and Francis
publisher.none.fl_str_mv Taylor and Francis
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
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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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