Influence of local voids on flow maldistribution in randomly packed fi
ber bundles is examined by Voronoi tessellation. A theoretical express
ion for the local void distribution caused by random placement of fibe
rs is developed by using a random-cell model. Simulations and packing
experiments have been conducted to assess the accuracy of the theoreti
cal distribution of cell sizes. In the case of shell side, laminar flo
w parallel to the fibers, the theoretical distribution is used to esti
mate fRe (friction factor times Reynolds number) and volumetric flows,
and to compare results with ordered arrays and experimental data from
literature. The results are used to assess the contributions of local
voltage variations to flow bypass. This has implications for the pred
iction of pressure drop and heat and mass transfer in hollow-fiber mod
ule applications where transport is dominated by flow on the shell sid
e.