Abstract-A mathematical modeling is performed to recover helium from fuel gas using polymeric membrane. This study implements a numerical model used in gas separation for hollow fiber membrane modules. Helium recovery from fuel gas is a process of great importance, but there is not yet simple and fast model applied to recover helium from multicomponent gas mixture. The numerical technique presented in this study shows reliable investigation of helium permeation with minimal effort in a membrane module. The presented model has been validated against available data from the literature. The results obtained by using presented model show good similarity with literature data. The model is extended to multistage membrane separation with different variation in permeate pressure. To our knowledge, this is first dependable numerical study for the recovery of helium from multicomponent gas mixture using countercurrent flow pattern and multistage membrane permeation. Operating conditions and membrane system structures are easy to optimize using this model due to its simplicity and algebraic nature.Index Terms-Mathematical modeling, helium recovery, countercurrent flow, multistage permeation.
I. INTRODUCTIONMembrane gas separation has been used progressively in the process industry during the last three decades. Development of the asymmetric membranes is the main this, which combines high selectivity and high permeability. Fritzsche and Narayan [1] given a short review on the development of membrane technology. The main competing separation processes for membrane gas separation are cryogenic distillation and physical adsorption. High recovery and high purity products are obtained by these two separation processes. For large scale separation processes cryogenic distillation is more effective and efficient. Membrane separation processes normally give products of intermediate purity up to 96%. Beside this numerous studies have shown that for low to medium level production membrane separation can be a good alternate [2], [3]. Membrane systems are preferred in offshore installations due to their less area requirements and low weight. For economical processes can be designed by combining membrane process with cryogenic distillation or physical adsorption [4]. The main objective of chemical processes is to decrease the number of possible process alternatives to a number appropriate for mathematical modeling and simulation. At this stage it is not Manuscript received March 10, 2014; revised June 20, 2014 needed to do mathematical modeling and simulation of all possible processes choice. It is essential to rely on that mathematical model which is fast, accurate and requires less computation effort.Such model also required less information as compared to complicated model, in which generally detailed information is not available. At this level it is also vital to use such mathematical model which is also appropriate for optimization purposes. In this way a user can obtain realistic results speedily by using different operating condit...