A numerical study of viscous flow in a fibrous filter modeled as a staggered array of rectangular or cylindrical fibers arranged perpendicular to the flow direction was conducted to determine the fiber drag. The calculated dimensionless drag values for the case of the cylindrical fibers were found to be in excellent agreement with the analytical results of Kuwabara (1959). The effect of the fluid inertia on the flow around a cylindrical or rectangular fiber was found to be negligible for Reynolds number values < 0.2. Further, the dimensionless drag on rectangular fibers with aspect ratios > 1 was found to be a strong function of the filter solid-volume fraction, which correlated well with the Kuwabara results for the case of cylindrical fibers.
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Fardi et al. (1992) studied this question.
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