Abstract—An efficient, stable and fastest numerical method is predicted by doing comparison between different numerical methods which are used to solve cross and co-current flow model in multicomponent membrane gas separation. Considering cross and co-current flow model numerical methods such as Bogacki–Shampine method, Dormand–Prince method, Adams-Bashforth-Moulton method, numerical differentiation formulas, modified Rosenbrock formula of order 2, Trapezoidal rule with free interpolant and Trapezoidal rule with backward difference formula of order 2 are observed. To solve cross and co-current flow model stiff and non-stiff numerical methods are implemented and the characteristics of each method are discussed briefly. The stability and computational speed of considered numerical methods are investigated for the selection of best numerical method. The results obtained from recommended numerical method are compared with experimental and numerical results available in literature. The numerical results show good agreement with literature values.
Index Terms—Cross flow, co-current flow, numerical comparison, membrane gas separation.
The authors are with the School of Chemical & Materials Engineering, National University of Sciences & Technology, Islamabad 44000, Pakistan (e-mail: ahsan@scme.nust.edu.pk).
[PDF]
Cite: Muhammad Ahsan and Arshad Hussain, "An Efficient Numerical Approach for the Separation of Gases Using Membrane in a Multicomponent Gas Mixture," International Journal of Chemical Engineering and Applications vol. 3, no. 6, pp. 430-433, 2012.
