Parallel microparticle manipulation using an imaging fiber-bundle-based optical tweezer array and a digital micromirror device

The values of the constant in the equation which relates permeability of a porous medium to the porosity and specific surface of the medium are determined for three cases. These experimental values are found to be consistent with the theoretical indications of Fowler and Hertel.

An idealized yarn composed of fibers with specified properties is treated analytically with the aim of determining the yarn strength at any degree of twist. The results are presented in the form of equations and curves which relate the yarn strength to the fiber properties and the degree of twist. Two cases are studied: (1) All fibers alike; (2) fiber properties variable from fiber to fiber. In the latter case the mathematical expectation of the yarn strength at any yarn cross section is obtained. It is found that the optimum twist multiplier is largely determined by the fiber length, fiber fineness, and coefficient of friction, whereas the maximum yarn strength (corresponding to the optimum twist multiplier) is more strongly dependent upon the intrinsic fiber strength than upon the other fiber properties studied.