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

Document Type : Research Studies

Authors

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

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

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

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MEJ- Mansoura Engineering Journal
Volume 41, Issue 4
December 2016
Pages 1-15

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