The mathematical model of the hollow fiber membrane of on-board inert gas generation system (OBIGGS) is set up in term of the differential method

and solved by the Runge-Kutta method.The comparison between calculating results and experimental data published in literature reveals that the deviation is within 10%.Furthermore

this theoretical model is employed to analyze the influence of the specific feed flux of membrane area

pressure ratio of membrane fiber

the separation factor and the permeability coefficient to the volume fraction of oxygen in production gas and the production efficiency of nitrogen.The study shows that though the increase of the specific feed flux of membrane area could positively promote the production efficiency of nitrogen

the volume fraction of oxygen reduces sharply.Hence

an appropriate process of OBIGGS should be designed to overcome the disadvantage mentioned above.The increase of the pressure ratio and the permeability coefficient of oxygen will decrease the production efficiency of nitrogen and the volume fraction of oxygen

but the influence of the permeability coefficient is slight.Therefore

the increase of the permeability coefficient of oxygen is beneficial to the separation performance.Based on the experimental data and the model

the change of the separation ideal level related to the temperature and pressure is analyzed

the result shows that the pressure ratio will make greater effect on the separation ideal level.When the pressure ratio increases

the actual separation process will deviate from the theoretical one gradually.