In the steady fabricating process, two-dimensional hollow fiber membrane near the spinneret was numerically simulated using the finite element method (FEM). The unknown positions of free Surface and moving interface were Calculated simultaneously by the velocity and pressure fields. The effects of seven relevant parameters, i.e., inertia term, gravity term, dope flow rate, bore flow rate, dope viscosity, tensile force, end velocity and non-Newtonian on the velocity and diameter profile were Studied. On the basis of the simulated results, the inertia term in hollow fiber-spinning process was safely neglected in low speed, while the effect of gravity was not be neglected. Besides, the cuter diameter of the fibers increased with an increase of dope flow rate and bore flow rate; Large tensile force or large end velocity Could cause large deformation in the air gap; larger viscous dope solution tended to make less deformation in the air gap. It was found that an increase of the dope flow rate at small dope flow rate resulted in an increase of the inner diameter, while at large dope flow rate, it decreased. (c) 2006 Wiley Periodicals, Inc.