The Changes in Fiber-Number Length Distribution Under Various Breakage Models

Tallant, John D.; Pittman, Robert A.; Schultz, E. Fred

doi:10.1177/004051756603600808

Cited by 20 publications

(7 citation statements)

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“…Sir: In a recent article Wronski (1967) derives several equations which relate to work we have either published or have in press (Pittman and Tallant, 1968; Tallant and Pittman, 1968;Tallant et al, 1966Tallant et al, , 1968, dealing with fiber breakage, clamping techniques, and hooks. These equations seem to be valid for breakage of bulk samples of fibers, but when the clamping procedure described by Wronski is applied, the equations need modification because the probability exists that the longer the fiber the more likely it is to be clampedthat is, when a strand of fibers is randomly clamped and the loose fibers are removed, the number distribution of the fibers clamped is the weight distribution of the fibers in the strand (see especially Equations 22 and 23 of Tallant and Pittman, 1968).…”

Section: Methods For Measuring Fiber Length Distributionmentioning

confidence: 99%

Methods for Measuring Fiber Length Distribution

Tallant¹,

Pittman²

1969

Ind. Eng. Chem. Fund.

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Section: Methods For Measuring Fiber Length Distributionmentioning

confidence: 99%

Methods for Measuring Fiber Length Distribution

Tallant¹,

Pittman²

1969

Ind. Eng. Chem. Fund.

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“…Many researchers have tried to figure out why fiber length changes and have proposed numerous models to solve the problem. Previously, various researchers (Goren, 1968;Sung Won, 1967;Tallant, 1966) discussed fiber breakage and attempted to explain it using various models. After a few years, Robert and his coworkers investigated the relationship between cotton cleanliness and fiber breakage.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Fiber length is one of the most crucial fiber characteristics (Cai, 2013; Kuang & Yu, 2015;Lin, 2012;Morais, 2020;Parsi, 2016), influencing the spinning limit (Faulkner, 2012), yarn strength (Fiori, 1954;Naylor, 2014;Ramey , 1977), yarn evenness and product handle (Frydrych, 1995;Ibrahim, 2018;Moon Won Suh, 1976), yarn hairiness (Barella & Manich, 2002;Informa, 2009;Matsuo, 2019;Pillay, 1964;Viswanathan , 1989), process performance, and spinning efficiency (Waters, 1966). However, the length of the fiber changes during the spinning process as it is subjected to various mechanical actions in various machines (Byatt, W. J., and Elting, 1958;Byatt, 1961;Carnaby, 1984;Goren, 1968;Lee, 1968; RA Pittman and JD Tallant, 1990;Shapiro, 1964;Sung Won, 1967;Tallant, 1966;Tallant & Pittman, 1968) that affect the yarn quality as well as the end product generated from the yarn. An examination was carried out in this study to assess fiber length change throughout various stages of ring spinning.…”

Section: Introductionmentioning

confidence: 99%

Investigation Of Fiber Length Change In Different Stages Of Ring Spinning Process

Khan

Rashid

Ahmed

et al. 2021

ESJ

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Fiber length is one of the major fiber properties that influence yarn strength, evenness, product handle, product luster, and yarn hairiness. To assure yarn quality, fiber passes through a number of machinery during the spinning process, where it is subjected to various sorts of action that modifies the fiber length. As different process parameters are chosen based on fiber length, fiber length analysis throughout the spinning process will benefit in the adjustment of machine parameters to produce better quality yarn. This study will reveal the chronological change in average fiber length at different stages of the carded ring spinning process, as well as a correlation analysis of length change among different phases, using correlation and regression methods. For five distinct mixing samples, raw cotton, card mat, carded sliver, breaker drawn sliver, finisher drawn sliver, roving, and yarn (pneumafil) were examined at each stage from raw cotton to ring frame. Then, using USTER AFIS PRO, all of the samples were numerically evaluated and statistically analyzed using Microsoft Excel 2016. A positive correlation between fiber length changes at several phases was observed in the experiment, with average fiber length increasing in carding, breaker drawing, finisher drawing, and simplex but decreasing in card mat and ring.

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“…Given a fiber group of any particular length from a given fiber population, (1) what is the probability that a fiber of the group breaks at all and (2) what is the probability that a fiber of the group breaks into s segments (s >_ 2)? All the existing models by previous workers [1,5,6,8] are not appropriate to clarify such basic questions due. to the different approaches to the problem or the assumptions of linear probability of fiber breakage with respect to fiber length and two segment breakage per breaking fiber.…”

Section: Some Remarksmentioning

confidence: 99%

A Probability Model for Random Fiber Breakages

Lee

1968

Textile Research Journal

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Applications of the probability model for random fiber breakage which was derived in Part I are demonstrated. The parameters of the model for an arbitrary initial fiberlength distribution are estimated by the nonlinear least-squares iterative method. Some practical uses of the estimates of parameters are shown. Different modes of fiber breakage for two different lots of cotton due to opening-carding process are assessed in terms of average number of break points and probability of fiber breakage, thus, providing complete clarification to the fundamental questions raised at the beginning of the study and a realistic interpretation to the random fiber breakage phenomena.Results of the application show that the probability of fiber breakage on fiber length is moderately nonlinear and sizable three segments fiber breakage was seen to be present, especially for long fiber groups, although in an over-all sense it was fairly small. Fiber breakages into more than four segments were negligible. These will, of course, depend on the particular breakage process under study. It is demonstrated that the model can be used to assess analytically whatever the mode of ordinary random fiber breakages, allowing more flexible relation between breakage probability and fiber length and taking multi-segments fiber breakage into account. Estimation and Practical Uses of ParametersProbability models for random fiber breakage for the cases of uniform-length input fibers and arbitrary-length input fibers were derived as shown in Equations 18 and 42, respectively [3]. In this paper, estimation of parameters and some informative interpretations, through the estimates of parameters, pertaining to different modes of fiber breakages are demonstrated on two different lots of cotton. The fiber breakage model (Eq. 18, [3]) for uniform-length input fibers may seldom .be used directly in textile practice. Equation 42 [3] for an arbitrary-length input fiber-weight distribution is more pertinent for conventional textile fibers.For this model, in which two parameters a and are involved nonlinearly in the model, a nonlinear iterative solution by the standard Gauss-Newton method is used for the estimation of parameters.Since the model for uniform input fibers can be regarded as a special case of the model for arbitrary input fibers as discussed for Equation 45 [3], any estimation procedure for the latter may apply to the , former' case. However, a separate estimation of the parameter m in the former model is presented here, since a simple and explicit expression for the estimate by the method of moments is readily available and the estimate bears a descriptive physical meaning. Uniform-Length Input FibersBy directly using the model (Eq. 18, [3]), it is found that the first reciprocal moment of the weight distribution function has a very simple linear expression in the parameter m. Let Exll1 X be the first reciprocal moment for Equation 18 [3~.Then, Ex'° can be written as = 1 For Part I, see reference [3].

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The Changes in Fiber-Number Length Distribution Under Various Breakage Models

Cited by 20 publications

References 0 publications

Methods for Measuring Fiber Length Distribution

Methods for Measuring Fiber Length Distribution

Investigation Of Fiber Length Change In Different Stages Of Ring Spinning Process

A Probability Model for Random Fiber Breakages

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