Mathematical Modeling for Pile Yarn Length and Crimp Ratio in Woven Terry Fabric

Source abstract

In this research, a mathematical model for predicting the consumed length and crimp ratio of pile warp yarns in woven terry towel fabrics was developed. The mathematical formulas interrelate the construction parameters of the woven terry fabric such as weave structure, weft count, weft density, counts of pile and ground warp yarns and loop length with the consumed length and crimp ratio of pile warp yarns. Experimental verification was conducted on nine terry cotton fabric samples produced with three different levels of weft density, weft count and loop length. Results showed that theoretical values highly corresponded to the measured values for samples of higher and medium levels of loop length confirming the applicability of the developed mathematical model. This research contributes to improving the production processes of woven terry fabrics in terms of effective resource management and cost reduction by accurately estimating the required quantities of yarns.