Abstract
A calculation method for predicting the performances of multi-component gas mixture through a membrane permeator is presented. Two mathematical models are developed to study the effect of the circulation of feed and permeate inside the membrane module. The explored circulation modes are the cocurrent and the countercurrent flow pattern. The developed mathematical model in the case of countercurrent flow pattern is subject to the split boundary value problem. To solve this problem, a numerical approach is developed combining the (0, 2) Jacobi multi-wavelets method and the decoupling and quasi-linearisation iterative technique. The developed models are then used to predict the performances of a membrane module designed for the treatment of a natural gas load (case study of the liquefied natural gas plant of Arzew-Algeria). The obtained results show clearly the efficiency of the countercurrent compared to the cocurrent flow pattern: high product purity is obtained for the same recovery rate. [Received: May 6, 2019; Accepted: August 7, 2020]
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