A moving finite element simulation of a pressure swing adsorption process

Computers and Chemical Engineering

Volumn 21, Issue 3, 1997, Pages 301-315

  Huang, Wen Chun ^a   Chou, Cheng Tung ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FEEDING; FINITE ELEMENT METHOD; NUMERICAL METHODS; PHASE EQUILIBRIA; PRESSURIZATION; PURGING;

MOVING FINITE ELEMENT METHOD (MFEM); PRESSURE SWING ADSORPTION (PSA);

GAS ADSORPTION;

ADSORPTION; FINITE ELEMENT METHOD; SIMULATION;

EID: 10144244646     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(96)00009-9     Document Type: Article

References (35)

1. Ackley M.W. and R.T. Yang, Kinetic Separation by pressure swing adsorption: method of characteristics model. AIChE J. 36, 1229 (1990).
2. Baines M.J., An Analysis of the Moving Finite Element Procedure. SIAM J. Numer. Anal. 28, 1323 (1991).
3. Bird R.B., W.E. Stewart and E.N. Lightfoot, Transport Phenomena, Wiley, New York, 1960, 510-511.
4. Chou C.T., W.C. Huang and A.S.T. Chiang, Simulation of Breakthrough Curves and a Pressure Swing Adsorption Process of Air Separation. J. Chin. Inst. Chem. Eng. 23, 45 (1992).
5. Chou C.T. and W.C. Huang, Incorporation of a valve equation into the simulation of a pressure swing adsorption process. Chem. Engng. Sci. 49, 75 (1994a).
6. Chou C.T. and W.C. Huang, Simulation of a Four - Bed Pressure Swing Adsorption Process for Oxygen Enrichment. Ind. Eng. Chem. Res. 33, 1250 (1994b).
7. Demkowicz L., Some Remarks on Moving Finite Methods. Computer Method in Appl. Mech. and Eng. 46, 339 (1984).
8. Doong S.J. and R.T. Yang, Bulk Separation of Multicomponent Gas Mixtures by Pressure Swing Adsorption: Pore/Surface Diffusion and Equilibrium Models. AIChE J. 32, 397 (1986).
9. Farooq S., M.M. Hassan and D.M. Ruthven, Heat Effects in Pressure Swing Adsorption Systems. Chem. Engng. Sci. 43, 1017 (1988).
10. Gelinas R.J., S.K. Doss and K. Miller, The Moving Finite Element Method: Applications to General Partial Differential Equations with Multiple Large Gradients. J. Comput. Phys. 40, 202 (1981).
11. Hassan M.M., N.S. Raghavan and D.M. Ruthven, Pressure Swing Adsorption Air Separation on a Carbon Molecular Sieve - II. Investigation of a Modified Cycle with Pressure Equalization and No Purge. Chem. Engng. Sci. 42, 2037 (1987).
12. Hindmarsh, A.C., ODEPACK, A Systematized Collection of ODE Solvers In: Scientific Computing (R. S. Stepleman et al., eds.), (Vol. 1 of IMACS Transactions on Scientific Computation), North - Holland, Amsterdam, 1983, 55.
13. Hrymak A.N., G.J. McRae and A.W. Westerberg, An Implementation of a Moving Finite Element Method. J. Comput. Phys. 63, 168 (1986).
14. Hrymak A.N. and A.W. Westerberg, Computational Considerations for Moving Finite Element Method. Chem. Engng. Sci. 41, 1673 (1986).
15. Hu S.S. and W.E. Schiesser, An Adaptive Grid Method in the Numerical Method of Lines, Proc. Forth IMACS International Symp. Comput. Methods Partial Differential Equations, 1981.
16. Jimack P.K. and A.J. Wathen, Temporal Derivatives in the Finite Element Method on Continuously Deforming Grids. SIAM J. Numer. Anal. 28, 990 (1991).
17. Juarez - Romero, D., R.W.H. Sargent, Improving the robustness of the moving finite element method. Comput. Chem. Engng. 12, 433 (1988).
18. Kayser J.C. and K.S. Knaebel, Pressure Swing Adsorption: Experimental Study on an Equilibrium Theory. Chem. Engng. Sci. 41, 2931 (1986).
19. Kayser J.C. and K.S. Knaebel, Pressure Swing Adsorption: Development of an Equilibrium Theory for Binary Gas Mixtures with Nonlinear Isotherm. Chem. Engng. Sci. 44, 1 (1989).
20. Knaebel K.S. and F.B. Hill, Pressure Swing Adsorption: Development of an Equilibrium Theory for Gas Separations. Chem. Engng. Sci. 41, 2351 (1985).
21. Lu Z.P., J.M. Loureiro and A.E. Rodrigues, Simulation of a Three - Step One - Column Pressure Swing Adsorption Process. AIChE J. 39, 1483 (1993).
22. Matz M.J. and K.S. Knaebel, Pressure Swing Adsorption: Effects of Incomplete Purge. AIChE J. 34, 1486 (1988).
23. Miller K. and R.N. Miller, Moving Finite Element I. SIAM J. Numer. Anal. 18, 1019 (1981).
24. Miller K., Moving Finite Element II. SIAM J. Numer. Anal. 18, 1033 (1981).
25. Moody R.O. and M.J. Baines, A Constrained Moving Finite Element Solution of the One - Dimensional Oxygen Diffusion with Absorption Problem. J. Comput. Phys. 103, 442 (1992).
26. Raghavan N.S. and D.M. Ruthven, Pressure Swing Adsorption - III. Numerical Simulation of a Kinetically Controlled Bulk Gas Separation. AIChE J. 31, 2017 (1985).
27. Sereno C., A. Rodrigues and J. Villadsen, The Moving Finite Element Method with Polynomial Approximation of Any Degree. Comput. Chem. Engng. 15, 25 (1991).
28. Sereno C., A. Rodrigues and J. Villadsen, Solution of Partial Differential Equations System by the Moving Finite Element Method. Comput. Chem. Engng. 16, 583 (1992).
29. Sereno C. and A. Rodrigues, Can Steady - State momentum equations Be Used in Modelling Pressurization of Adsorption Beds?. Gas Separation and Purification 7, 167 (1993).
30. Wathen A.J. and M.J. Baines, On the Structure of the Moving Finite Element Equation. IMA J. Numer. Anal. 5, 161 (1985).
31. Wen, C.Y. and L.T. Fan, Models for Flow Systems and Chemical Reactors, Dekker, New York, 1975, 169-171.
32. Yang, R.T., Gas Separation by Adsorption Processes, Butterworth, Boston, 1987, 4.
33. Yu Q. and N.H.L. Wang, Computer Simulations of the Dynamics of Multicomponent Ion Exchange and Adsorption in Fixed Beds-Gradient - Directed Moving Finite Element Method. Comput. Chem. Engng. 13, 915 (1989).
34. Zegeling P.A. and J.G. Blom, A note on the grid movement induced by MFE. Int. J. for Numer. Method in Engng. 35, 623 (1992a).
35. Zegeling P.A. and J.G. Blom, An evaluation of the gradient - weighted moving finite element method in one space dimension. J. Comput. Phys. 103, 422 (1992b).