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Title: A theoretical model of maximum hairiness of staple ring-spun yarns
Authors: Huang, XX
Tao, XM 
Xu, BG 
Keywords: Fiber ends
Fiber length distribution
Hairiness contribution factor
Kernel estimation
Maximum hairiness
Protruding hairs
Ring-spun yarns
Issue Date: 2014
Publisher: SAGE Publications
Source: Textile research journal, 2014, v. 84, no. 11, p. 1121-1137 How to cite?
Journal: Textile research journal 
Abstract: This paper proposes a theoretical model for maximum hairiness, defined as the number of fiber ends with a certain length in the surface layer of a unit length of ring-spun yarn. These fiber ends have the potential to become protruding hairs, that is, form hairiness of the spun yarn. With consideration of yarn twist, but excluding loops and wild fibers, this model predicts the maximum yarn hairiness or maximum numbers of potential fiber ends with various lengths, which is derived by employing kernel estimation of fiber length distribution. A hairiness contribution factor is introduced as the ratio between the number of fiber ends in the surface layer that potentially contribute to yarn hairiness and the total number of fiber ends in the yarn cross-section. Previous and the present models associated with hairiness or fiber ends are discussed and compared with the measured number of hairs to verify the proposed theoretical model for maximum hairiness of ring-spun yarn.
ISSN: 0040-5175
EISSN: 1746-7748
DOI: 10.1177/0040517513507368
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