Viscous Drag of Periodic Row of Polydisperse Fibers with Allowance for Slip Effect

Viscous drag in the gas flowing through an equidistant periodic row of parallel polydisperse fibers with the random fiber radius distribution over period was studied using an approximation of small Reynolds numbers. The case of viscous advancing flow perpendicular to the row was considered. The effect of gas slip at the fiber surface was taken into account. Expression was found for the resistance force averaged over random ensemble of fibers, which well describes the results of numerical simulation with the use of lognormal fiber radius distribution, including the case of high fiber polydispersity. The resistance of a very dense polydisperse row was analyzed within the framework of Keller's model with allowance for slip effect.