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Textile Research Journal
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A New Aspect of the Stochastic Nature of Carding

A.S. Abhiraman

School of Textiles, North Carolina State University, Raleigh, N. C. 27607, U. S. A.

Waller George

School of Textiles, North Carolina State University, Raleigh, N. C. 27607, U. S. A.

A stochastic theory is proposed which takes into account changes in the transfer probability at a carding point upon collection by a worker and redeposition on the cylinder. This theory reduces to an earlier work of Monfort, if such changes are ignored. The theory explains quantitatively the observed nature of fiber movement in roller-top cards. This new approach is then coupled with the work of Baturin to successfully predict the behavior at different speed conditions. The present theory "fits" the observed speed effects over a two- to three-fold range of worker velocities, while the older theory yields a systematic deviation between the observed and calculated collection probabilities. Indices are formulated which describe blending, mixing and equalizing as it occurs in the carding process. These formulations, based in part upon previous literature, are modified in the light of the new theory developed in this paper.

Key Words: Fibers. Feeds • worked fibers • unworked fibers • fiber flow. Speed • transition • formulations. Stochastic theory. Carding. Literature.

Textile Research Journal, Vol. 43, No. 8, 452-467 (1973)
DOI: 10.1177/004051757304300804
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