According to the theoretical model for laminar flow

the mass transfer in the shell-side of randomly distributed hollow fiber bundles under two boundary conditions is investigated.One boundary condition assigns a constant mass flow rate

and the other assigns a constant concentration.The correlations of mass transfer Sherwood number are obtained under different packing ratios.The results show that the mass transfer for the axial laminar flow in the randomly distributed fiber bundles can be divided into developing region and fully developed region as well as those in a tube.In the fully developed region of a given randomly distributed fiber bundle

Sherwood number is a certain value and much smaller than that in the fully developed region of a regular array fiber bundles.The non-uniform distribution of hollow fibers decreases the performance of mass transfer in the module.In the developing region of a given random distributed fiber bundle

Sherwood number is also smaller than that in the developing region of in the regular array fiber bundles.The packing ratio affects not only the coefficient B

but also the exponents a of Re and b of Sc in the correlation Sh=BReaScbf(de/L).