Abstract
A mathematical model is suggested for studying the radial packing density of yarn, and the proposed model is used for a comparative study of ring and rotor spun yarns. The results show that rotor spun yarn consists of a smaller number of fibers in the cross section compared to ring spun yarn, which explains the lower strength of rotor yarn. Although the radial packing density of both yarns is non-uniform, that of rotor yarn is nearer the yarn axis and less towards the yarn surface compared to ring spun yarn.
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