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103986

Theoretical Development of Mathematical Model to Predict Vertical Wicking Behavior of Flow through Terry Towels.

Article

Last updated: 04 Jan 2025

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Tags

Textile Engineering

Abstract

Theoretical models have been proposed in this paper to predict the vertical wicking behaviour of fabrics based on different fibre, yarn and fabric parameters. The yarn and fabric models have been developed based on Hagen – Poiseuille's equation on fluid flow and pore geometry through the yarns (inter–fibre pores) and fabrics (inter–yarn pores) have been determined. Factors such as yarn porosity, number of fibres in a yarn cross-section, fibre denier, yarn denier, yarn crimp, hydraulic pore diameter and fibre contact angle have been taken into account for development of the yarn model. Also, factors such as yarns diameters, ends & picks/ cm, fabric thickness, hydraulic pore diameter and fabric porosity have been taken into account for development of the fabric model. Differential mathematical equation has been incorporated, which helps to predict vertical wicking height at any given time considering the capillary and gravitational effects. Experimental verification of the fabric model has been carried out using cotton terry woven fabrics. The average of theoretical values of vertical wicking heights obtained from the yarn and fabric models were found to predict the vertical the vertical wicking height as a function of time through the fabrics with a good agreement compared with the experimental results

DOI

10.21608/bfemu.2020.103986

Keywords

Vertical wicking height, porosity, Hydraulic pore radius, Inter – yarn pores, Capillary, Contact angle, Surface tension

Authors

First Name

Hemdan

Last Name

Abou-Taleb

MiddleName

-

Affiliation

Textile Engineering Department, Faculty of Engineering, Mansoura University Mansoura 35516, Egypt

Email

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City

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Orcid

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First Name

Heba

Last Name

El-Fowaty

MiddleName

-

Affiliation

researcher at Textile Engineering Department, Faculty of Engineering, Mansoura University

Email

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City

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Orcid

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Volume

41

Article Issue

4

Related Issue

15137

Issue Date

2016-12-01

Receive Date

2016-02-22

Publish Date

2016-12-01

Page Start

1

Page End

15

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 41_Issue 4_Pages 1-15.pdf

PDF . 1.8MB

Link

https://bfemu.journals.ekb.eg/article_103986.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=103986

Order

13

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Theoretical Development of Mathematical Model to Predict Vertical Wicking Behavior of Flow through Terry Towels.

Details

Type

Article

Created At

22 Jan 2023