Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements

Axial flow through gaps between aligned straight yarns with realistic cross-sectional shapes, described by power-ellipses, was analysed numerically. At a given fibre volume fraction, equivalent gap permeabilities have a maximum at minimum size of elongated tapering parts of the gap cross-section and...

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Main Authors: Endruweit, Andreas, Zeng, X., Matveev, Mikhail Y., Long, Andrew C.
Format: Article
Published: Elsevier 2018
Subjects:
Online Access:https://eprints.nottingham.ac.uk/47777/
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author Endruweit, Andreas
Zeng, X.
Matveev, Mikhail Y.
Long, Andrew C.
author_facet Endruweit, Andreas
Zeng, X.
Matveev, Mikhail Y.
Long, Andrew C.
author_sort Endruweit, Andreas
building Nottingham Research Data Repository
collection Online Access
description Axial flow through gaps between aligned straight yarns with realistic cross-sectional shapes, described by power-ellipses, was analysed numerically. At a given fibre volume fraction, equivalent gap permeabilities have a maximum at minimum size of elongated tapering parts of the gap cross-section and a ratio of gap width to height near 1. When the yarn spacing is given in addition to the fibre volume fraction, calculated maximum and minimum values for the equivalent permeability of inter-yarn gaps, which occur at near-rectangular and lenticular cross-sections, differ by factors of up to 3.3. Novel approximations for the shape factor and the hydraulic diameter in Poiseuille flow were derived as a function of the fibre volume fraction, the yarn cross-sectional aspect ratio and the exponent describing the shape of the power-elliptical yarn cross-section. This allows the equivalent gap permeability to be predicted with good accuracy for any fibre volume fraction and yarn cross-section.
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spelling nottingham-477772020-05-04T19:28:59Z https://eprints.nottingham.ac.uk/47777/ Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements Endruweit, Andreas Zeng, X. Matveev, Mikhail Y. Long, Andrew C. Axial flow through gaps between aligned straight yarns with realistic cross-sectional shapes, described by power-ellipses, was analysed numerically. At a given fibre volume fraction, equivalent gap permeabilities have a maximum at minimum size of elongated tapering parts of the gap cross-section and a ratio of gap width to height near 1. When the yarn spacing is given in addition to the fibre volume fraction, calculated maximum and minimum values for the equivalent permeability of inter-yarn gaps, which occur at near-rectangular and lenticular cross-sections, differ by factors of up to 3.3. Novel approximations for the shape factor and the hydraulic diameter in Poiseuille flow were derived as a function of the fibre volume fraction, the yarn cross-sectional aspect ratio and the exponent describing the shape of the power-elliptical yarn cross-section. This allows the equivalent gap permeability to be predicted with good accuracy for any fibre volume fraction and yarn cross-section. Elsevier 2018-01-31 Article PeerReviewed Endruweit, Andreas, Zeng, X., Matveev, Mikhail Y. and Long, Andrew C. (2018) Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements. Composites Part A: Applied Science and Manufacturing, 104 . pp. 139-150. ISSN 1359-835X Fabrics/textiles; Permeability; Numerical analysis; Resin flow https://doi.org/10.1016/j.compositesa.2017.10.020 doi:10.1016/j.compositesa.2017.10.020 doi:10.1016/j.compositesa.2017.10.020
spellingShingle Fabrics/textiles; Permeability; Numerical analysis; Resin flow
Endruweit, Andreas
Zeng, X.
Matveev, Mikhail Y.
Long, Andrew C.
Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
title Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
title_full Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
title_fullStr Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
title_full_unstemmed Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
title_short Effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
title_sort effect of yarn cross-sectional shape on resin flow through inter-yarn gaps in textile reinforcements
topic Fabrics/textiles; Permeability; Numerical analysis; Resin flow
url https://eprints.nottingham.ac.uk/47777/
https://eprints.nottingham.ac.uk/47777/
https://eprints.nottingham.ac.uk/47777/