抄録
In a disk type friction false twisting process, the angle of inclination between the yarn path and the disk axis is a very important factor in relation to the tension and the twisting torque over the disk surface. According to this angle, the yarn in contact with the rotating disk receives the frictional force that twists the yarn and sends it to the forward direction.
A triple-stack multi-disk spindle unit is used widely in actual draw texturing process. The main purpose of this paper is to give more precise angle of inclination in this spindle unit using the differential geometry of the yarn path over the disk surface. The angle of inclination was calculated in the actual range of the disk diameter, the radius of the disk edge, the distance between the central plane of two successive disks and the distance between the two disk centers of spindle unit. The angle of inclination obtained in this investigation gave the smaller value than angles obtained by previous studies. The angle of wrap was calculated at the same time. The effect of the radius of the disk edge on the angle of inclination and wrap was explained for the first time.
