Exponentially autocorrelated mass distribution along staple fiber yarns

Abstract

In this work, a series of cotton carded ring-spun yarns of different counts and different twist multipliers is prepared and the mass distribution along the yarns is studied as a random process. The mass autocorrelation coefficients of the coarser yarns are found to be higher as compared to those of the finer yarns and this difference is found to be low at lower twist multiplier of the yarns. The decay of mass autocorrelation at higher distances along the yarns is explained by a double exponential autocorrelation function which raises the probable existence of two highly different random effects that are acting additively on the yarns to decrease the mass autocorrelation at higher distances along the yarns. The finer yarn exhibits faster decay of mass autocorrelation than the coarser yarn, but this difference is low at lower twist multiplier of the yarns.