Estimating the diameter of yarns with irregular constituent fibres

Yarn diameter and packing density are difficult to measure directly. Existing models on fibre packing density in a yarn assume that all fibres are uniform and have an identical diameter. Yet real staple yarns, such as wool yarns, consist of fibres of varying diameters. This paper proposes an effective and simple yarn model for calculating the average diameter of yarns, in which fibres have circular cross-section and the close packing in the yarn cross-section. The concept of “area equivalent diameter” is introduced to transform fibres of varying diameters to identical fibres with one equivalent diameter to simplify the calculations of the average yarn diameter for a range of yarns.