Breakage Models and Measuring Techniques for Fiber. Weight-Length Distributions

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Abstract
Previously developed number-frequency equations are translated into their weight- frequency counterparts. A solution is developed for the problem of fiber-length distri bution to be expected when a sliver or similar textile structure, with straight fibers, is cut systematically. A double-clamping technique is described which permits the determina tion of the weight-frequency distribution and weight-mean length of the fiber population in the sliver, with the same assumption that the fibers are straight and parallel to the structure axis. It is shown that, if the fibers are not straight and parallel, the same technique measures the projection of the fibers along the structure axis. Simple methods for measuring the projected length are described and data are represented showing the change in projected length as a typical cotton proceeds from card sliver through roving. The basic mathematical equations for the Lindsley combing ratio are derived, and it is shown that a modification of the Lindsley technique can also yield the projected mean length.