Mathematical Modeling to Predict the Geometrical and Physical Properties of Bleached Cotton Plain Single Jersey Knitted Fabrics

This paper presents a novel mathematical model of bleached cotton plain single jersey knitted fabrics. The mathematical model is used to deduce the fabric geometrical relationships that can be useful for forecasting the properties of the fabric before production. A practical verification is carried out at different cotton yarn counts and twist factors. The obtained mathematical and practical results are deeply studied and analyzed. The results showed a good agreement between the proposed mathematical model and the practical one. The finished fabric weight is predicted at different yarn counts and loop lengths, and a forecasting weight chart is deduced. This chart will undoubtedly help the producers to enhance the fabric productions. In addition, an actual yarn diameter in the fabric measuring method is carried out and the fabric thickness is estimated consequently. The obtained results proved that the plain single jersey thickness is proportional to three times of the actual measured yarn diameter.