Efficient and accurate numerical simulation of nonlinear chromatographic processes

Computers and Chemical Engineering

Volumn 35, Issue 11, 2011, Pages 2294-2305

  Javeed, Shumaila ^a,b,c   Qamar, Shamsul ^a,b   Seidel Morgenstern, Andreas ^a   Warnecke, Gerald ^c  

^a MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

^b Department of Biosciences   (Pakistan)

^c OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Delta shocks; Discontinuous solutions; Displacement chromatography; Finite volume schemes; Nonlinear chromatographic models

Indexed keywords

DELTA SHOCKS; DISCONTINUOUS SOLUTIONS; DISPLACEMENT CHROMATOGRAPHY; FINITE VOLUME SCHEMES; NONLINEAR CHROMATOGRAPHIC MODELS;

CHROMATOGRAPHY; DIFFERENTIATION (CALCULUS); NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

COMPUTER SIMULATION;

EID: 80052633748     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2010.10.002     Document Type: Article

References (23)

1. Broughton, D. B. (1961). Continuous sorption process employing fixed bed of sorbent and moving inlets and outlet. US Patent 2,985,589.
2. Cruz P., Santos J.C., Magalhães F.D., Mendes A. Simulation of separation processes using finite volume method. Journal of Computers & Chemical Engineering 2005, 30:83-98.
3. Frenz, J., & Horvath, Cs. (1988). In high-performance liquid chromatography: Advances and perspectives. In Cs. Horvath (Ed.), (Vol. 5, pp. 211-314). New York, NY: Academic Press.
4. Guiochon G., Shirazi G., Katti M. Fundamentals of preparative and nonlinear chromatography 2006, Elsevier, Inc., Netherlands. 2nd ed.
5. Koren B. A robust upwind discretization method for advection, diffusion and source terms. Numerical methods for advection-diffusion problems, Volume 45 of Notes on Numerical Fluid Mechanics 1993, 117-138. Vieweg Verlag, Braunschweig. C.B. Vreugdenhil, B. Koren (Eds.).
6. Kuhn R., Winterstein A., Lederer E. The xaothophylls. Zeitschrift fur Physiologische Chemie 1931, 197:141-160.
7. Leer B.V. Towards ultimate conservative finite difference scheme. 2. Monotonicity and conservation combined in a second-order scheme. Journal of Computational Physics 1974, 14:361-370.
8. Leer B.V. Towards ultimate conservative finite difference scheme. 4. A new approach to numerical convection. scheme. Journal of Computational Physics 1977, 12:276-299.
9. LeVeque R.J. Finite volume methods for hyperbolic problems 2002, Cambridge University Press, New York.
10. Lieres E.V., Andersson J. A fast and accurate solver for the general rate model of column liquid chromatography. Journal of Computers & Chemical Engineering 2010, 34:1180-1191.
11. Martin A.J.P., Synge R.L.M. A new form of chromatogram employing two liquid phases. Biochemical Journal 1941, 35:1358-1368.
12. Mazzotti M. Nonclassical composition fronts in nonlinear chromatography: Delta-shock. Industrial & Engineering Chemistry 2009, 48:7733-7752.
13. Mazzotti M., Tarafderb A., Cornela J., Gritti F., Guiochon G. Experimental evidence of a delta-shock in nonlinear chromatography. Journal of Chromatography A 2010, 1217:2002-2012.
14. Roe P.L. Characteristic-based schemes for the Euler equations. Annual Review of Fluid Mechanics 1986, 18:337-365.
15. Rouchon P., Schonauer M., Valentin P., Guiochon G. Numerical simulation of band propagation in nonlinear chromatography. Separation Science and Technology 1987, 22:1793-1833.
16. Ruthven D.M. Principles of adsorption and adsorption processes 1984, Wiley, New York.
17. Seidel-Morgenstern A. Analysis of boundary conditions in the axial dispersion model by application of numerical Laplace inversion. Chemical Engineering Science 1991, 46:2567-2571.
18. Sweby P.K. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal on Numerical Analysis 1984, 30:995-1011.
19. Tswett M. Physikalisch-chemische Studien ber das Chlorophyll. Die Adsorptionen. Berichte der Deutschen Botanischen Gesellschaft 1906, 24:316-323.
20. Tswett M. Adsorptionsanalyse und chromatographische Methode. Anwendung auf die Chemie des Chlorophylls. Berichte der Deutschen Botanischen Gesellschaft 1906, 24:384-393.
21. Thiele A., Falk T., Tobiska L., Seidel-Morgenstern A. Prediction of elution profiles in annular chromatography. Journal of Computers & Chemical Engineering 2001, 13:1089-1101.
22. Webley P.A., He J. Fast solution-adaptive finite volume method for PSA/VSA cycle simulation; 1 single step simulation. Journal of Computers & Chemical Engineering 2000, 23:1701-1712.
23. Zechmeister, L., Cholnoky, L. V. (1937). Die chromatographische Adsorptionsmethode. Grundlagen, Methodik, Anwendungen. Wein: Julius Springer.