An analytical model for through-thickness permeability of woven fabric

Article

Xiao, Xueliang, Zeng, Xuesen, Long, Andrew, Lin, Hua, Clifford, Michael and Saldaeva, Elena. 2012. "An analytical model for through-thickness permeability of woven fabric." Textile Research Journal. 82 (5), pp. 492-501. https://doi.org/10.1177/0040517511414979
Article Title

An analytical model for through-thickness permeability of woven fabric

ERA Journal ID3629
Article CategoryArticle
AuthorsXiao, Xueliang (Author), Zeng, Xuesen (Author), Long, Andrew (Author), Lin, Hua (Author), Clifford, Michael (Author) and Saldaeva, Elena (Author)
Journal TitleTextile Research Journal
Journal Citation82 (5), pp. 492-501
Number of Pages10
Year2012
Place of PublicationUnited Kingdom
ISSN0040-5175
1746-7748
Digital Object Identifier (DOI)https://doi.org/10.1177/0040517511414979
Web Address (URL)http://journals.sagepub.com/doi/abs/10.1177/0040517511414979
Abstract

Woven fabric permeability is relevant to many applications, such as airbags, textile composites processing, paper making and air and water filtration. This paper proposes an analytical model to predict through-thickness fabric permeability based on viscous and incompressible Hagen–Poiseuille flow. The flow is modeled through a unit cell of fabric with a smooth fluid channel at the center with slowly varying cross-section. The channel geometry is determined by yarn spacing, yarn cross-section and fabric thickness. The shape of the channel is approximated by a parabolic function. Volumetric flow rate (Q) is formulated as a function of pressure drop and flow channel geometry for woven fabric. The permeability (K) is calculated thereafter according to Darcy's law. The air permeability of nine different fabrics has been measured to verify the analytical model. A sensitivity study was carried out to understand how geometric parameters influence the fabric permeability. The analytical model shows very close agreement with the experimental data: within 5% for most fabrics. The sensitivity study on permeability indicates the importance of flow channel geometry in obtaining accurate predictions.

Keywordsanalytical model; Hagen–Poiseuille flow; permeability; woven fabric; channel geometry; Darcy's law; fabric permeability; fabric thickness; flow channels; fluid channels; function of pressure; Geometric parameter; Hagen-Poiseuille flow; textile composite; through-thickness permeability; unit cells; volumetric flow rate; synthetic and natural fibers; textile technology; computer applications; fluid flow, water treatment techniques
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020400204. Automotive safety engineering
401605. Functional materials
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Byline AffiliationsUniversity of Nottingham, United Kingdom
Institution of OriginUniversity of Southern Queensland
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