A new model of open end yarn twist using torus coordinate based on dynamical mechanics

Yarn structure and its relationship with the properties have attracted many researchers and scientist in textile science. The importance of this subject has increased due to the need of yarn with best possible quality. In this study, we have established a new equation to relate open end (OE) yarn count number in metric count (N-m) toward yarn twist on OE spinning. Based on this research, twist has been determined and formulated by analyzing the movement of fibre inside yarn using tensor calculus on torus coordinate based on dynamical mechanics.