Abstract
Variational upper and multiple scattering lower bounds on the Knudsen transport rates are applied to several slab geometries of finite thickness made up of parallel, randomly placed, overlapping long cylindrical fibers, one with fibers aligned perpendicular and a second with fibers parallel to the film edges. Estimates and rigorous error bounds are generated for various film thickness. Insight into collision paths useful for thin film vapor deposition, reactive matrix formation of composites, and gas membrane transport are obtained.
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