A mathematical model of fiber orientation in slivers

作者:Neckar Bohuslav; Das Dipayan*; Ishtiaque S M
来源:Journal of the Textile Institute, 2012, 103(5): 463-476.
DOI:10.1080/00405000.2011.586153

摘要

The directional arrangement of fibers significantly determines the internal structure and the mechanical properties of the slivers and the ultimate yarns produced from such slivers. In order to evaluate the directional arrangement of fibers in slivers, the experimental method according to Lindsleys%26apos;s idea, based on the weighing of suitable combed-out and cut-out fringes, is most frequently used in practice. But, the traditional Lindsley%26apos;s evaluation takes on some empirical ratios of fringe weights only. In this work, the experimental method according to Lindsley%26apos;s idea is analyzed and a set of relevant equations are derived for the theoretical determination of the measured fringe weights. The new characteristic of fiber orientation represents the harmonic mean of cosines of angles among the short fiber segments and the longitudinal direction of the sliver. The probability density function of the directional arrangement of fibers in a sliver is also estimated. The experimental data obtained on polyester-drawn sliver is compared with the theoretical results and a satisfactory correspondence between them is observed. The fiber orientation function reported in this article can be used in practice as a new quality parameter for the slivers and also to judge the effectiveness of the fiber preparation processes.

  • 出版日期2012