Abstract
The equations obtained when modeling adsorption processes are not amenable of analytical solution except in the more simple cases. Thus in most situations the use of numerical methods is required.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
- Mitchell, A.R. and D.F. Griffiths. The Finite Difference Method in Partial Differential Equations (Chichester, John Wiley & Sons, 1980).
- Schiesser, W. DSS/2–An Introduction to the Numerical Method of Lines Integration of PDE’s (Bethlehem, Lehigh University, 1976).
- Lapidus, L. and G. Pinder. Numerical Solution of Partial Differential Equations in Science and Engineering (John Wiley & Sons, 1982).
- Villadsen, J. and M.L. Michelsen. Solution of Differential Equation Models by Polynomial Approximation (Prentice-Hall Inc., 1978).
- Finlayson, B.A.. Nonlinear Analysis in Chemical Engineering (McGraw-Hill Int. Book Comp., 1980).
- Carey, G.F. and B.A. Finlayson. Chem. Eng. Sci. 30 (1975)587.
- de Boor, C. Practical Guide to Splines (Springer Verlag, 1978).
- Birnbaum, I. and L. Lapidus. Chem. Eng. Sci. 33 (1978)443.
- Ascher, U., J. Christiansen and R.D. Russell. ACM Trans. Math. Soft. (1981)June.
- Crittenden, J.C. et al. J. Env. Eng. Div. EE6 (1978)1175.
- Svedberg, U.G.. Chem. Eng. Sci. 31 (1976)345.
- Rolke, R.W. and R.H. Wilhelm. Ind. Eng. Chem. Fund. 8 (1969)235.
- Davis, M.E.. Numerical Methods and Modeling for Chemical Engineers (John Wiley & Sons, 1984).
- Sod, A.G., J. Comp, Phys. 27 (1978)1.
- Lax, P. and B. Wendroff. Comm. Pure Appl. Math. 17 (1964)381.
- Boris, J.P. and D.L. Book. J. Comp. Phys. 20 (1976)397.
- Loureiro, J.L.. PhD Thesis (University of Porto, 1985).
- Villadsen, J. and J.P. Sorensen. Chem. Eng. Sci. 24 (1969)1337.
- Birnbaum, I. and L. Lapidus. Chem. Eng. Sci. 33 (1978)455.
- Madsen, N.K. and R.F. Sincovec. ACM Trans. Math. Soft. 5 (1979)326.
- Leaf, G.K. et al. DISPL. A Software Package for One and Two Spatially Dimensioned Kinetic-Diffusion Problems. Report ANL-77–12 (Argonne National Laboratory, 1977).
- Melgaard, D. and R. Sincovec. ACM Trans. Math. Soft. 7 (1981)106.
- Carver, M. et al. Report AECL-5821 (Chalk River Nuclear Laboratories, 1978).
- Costa, C. and A. Rodrigues. Chem. Eng. Sci. 40 (1985)983.
- Costa, C. and A. Rodrigues. AIChE J. 31 (1985)1645.
- Liapis, A.I. and D.W. Rippin. Chem. Eng. Sci. 32 (1977)619.
- Raghavan, N.S. and D.M. Ruthven. Chem. Eng. Sci. 39 (1984)1201.
- Liapis, A.I. and D.W. Rippin. AIChE J. 25 (1979)455.
- Costa, C. and A. Rodrigues. Chem. Eng. Sci. 40 (1985)707.
- Jensen, O.K. and B.A. Finlayson. Adv. Water Res. 3 (1980)9.
- Ramachandran, P.A. and M.P. Dudukovik. Chem. Eng. Sci. 39 (1984)1321.
- Hu, S.S. and W.E. Schiesser. An Adaptative Grid Method in The Numerical Method of Lines in Advances in Computer Methods for PDE’s edited by R. Vichnevetsky and R.S. Steplemen (IMACS, 1981).
- Evangelista, F. and F.C. Di Berardino. Modeling of Multicomponent Fixed Bed Ion Exchange Operations in Ion Exchange. Science and Technology edited by A. Rodrigues (Martinus Nijhoff, 1986).
- Hrymak, A.N. and A.W. Westerberg. Chem. Eng. Sci. 41 (1986)1673.
- Gelinas, R.J. and S.K. Doss. J. Comp. Phys. 40 (1981)202.
- Miller, K. and R.N. Miller. SIAM J. Num. Anal. 18 (1981)1019.
- Costa, C., J. Loureiro and A. Rodrigues. Numerical Methods in Ion Exchange: Science and Technology edited by A. Rodrigues (Martinus Nijhoff, 1986).
- Michelsen, M.L.. AIChE J. 22 (1976)594.
- Gear, C.W.. Numerical Initial Value Problems in Ordinary Differential Equations (Prentice-Hall, 1971).
- Hindmarsh, A.C. Stiff System Problems and Solution at LLNL in Stiff Computation edited by R. Aiken (Oxford University Press, 1985).
- Michelsen, M.L. and J. Villadsen. Polynomial Solution of Differential Equations in Foundations of Computer Aided Chemical Process Design edited by R.S. Mah and W.D. Seider, vol 1 (Engineering Foundation Conferences, 1981).
- Acrivos, A., Ind. Eng. Chem. 48 (1956)703.
- Klaus, R., R. Aiken and D.W. Rippin. AIChE J. 23 (1977)579.
- Barba, D., G. Re and P.U. Foscolo. The Chem. Eng. J. 26 (1983)33.
- Wang, M.L. et al. Comp. & Chem. Eng. 4 (1980)85.
- LeitĂŁo, A. and A. Rodrigues, submitted to The Chem. Eng. J. (1988).
- Carver, M.B.. J. Comp. Phys. 35 (1980)57.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Costa, C., Rodrigues, A. (1989). Numerical Methods for the Solution of Adsorption Models. In: Rodrigues, A.E., LeVan, M.D., Tondeur, D. (eds) Adsorption: Science and Technology. NATO ASI Series, vol 158. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2263-1_14
Download citation
DOI: https://doi.org/10.1007/978-94-009-2263-1_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7514-5
Online ISBN: 978-94-009-2263-1
eBook Packages: Springer Book Archive