An analytical model for through-thickness permeability of woven fabric

Xiao, Xueliang and Zeng, Xuesen and Long, Andrew and Lin, Hua and Clifford, Michael and Saldaeva, Elena (2012) An analytical model for through-thickness permeability of woven fabric. Textile Research Journal, 82 (5). pp. 492-501. ISSN 0040-5175


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published version cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: No Faculty
Faculty/School / Institute/Centre: No Faculty
Date Deposited: 15 Jun 2017 01:09
Last Modified: 11 Jul 2017 04:42
Uncontrolled Keywords: analytical 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
Fields of Research (2008): 09 Engineering > 0902 Automotive Engineering > 090204 Automotive Safety Engineering
09 Engineering > 0912 Materials Engineering > 091205 Functional Materials
Fields of Research (2020): 40 ENGINEERING > 4002 Automotive engineering > 400204 Automotive safety engineering
40 ENGINEERING > 4016 Materials engineering > 401605 Functional materials
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
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