Cristian Tibirna: Selective bibliography - Numerical Modeling of a Chromatographic Column
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  1. Aharoni, Ch. Romm, F. (1995), A New Series of Equations for the Adsorption Isotherm Curves on Microporous Adsorbents, Langmuir, 11, pp. 1744-1752
  2. Andrade, J.S. Shibusa, Y. Arai, Y. McGreavy, C. (1995), A Network Model for Diffusion Adsorption in Compacted Pellets of Bidisperse Grains, Chem.Eng.Sci, 50(12), pp. 1943-1951
  3. Antos, D., Kaczmarski, K., Wojciech, P., Seidel-Morgenstern, A. (2003), Concentration dependence of lumped mass transfer coefficients - Linear versus non-linear chromatography isocratic versus gradient operation, Journal Of Chromatography A, 1006(1-2), Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, pp. 61 - 76
  4. Aris, R. (1978), Mathematical Modelling Techniques, Pitman Advanced Publishing Program, San Francisco, pp. 1-192
  5. Aust, E., Dahlke, K., Emig, G. (1987), Simulation evaluation of chromatographic response curves using various methods, The Chemical Engineering Journal, 35(3), pp. 179 - 190
  6. Avnir, D. (1991), Fractals: Approach to Heterogeneous Catalysis, Chemistry \& Industry, 16, pp. 912-916
  7. Baiker, A. New, M. Richarz, W. (1982), Determination of Intraparticle Diffusion Coefficients in Catalyst Pellets - a Comparative Study of Measuring Methods, Chem.Eng.Sci, 37(4), pp. 643-656
  8. Baumeister, E. Klose, U. Albert, K. Bayer, E. Guiochon, G. (1995), Determination of the Apparent Transverse Axial-Dispersion Coefficients in a Chromatographic Column by Pulsed-Field Gradient Nuclear-Magnetic-Resonance, J.Chromatog.A, 694(2), pp. 321-331
  9. Beenakker, J.J.M. Kuscer, I. (1996), Effect of multiple occupancy upon the diffusivity in zeolites, Zeolites, 17(4), pp. 346-353
  10. Berninger, J.A. Whitley, R.D. Zhang, X. Wang, N.-H.L. (1991), A Versatile Model for Simulation of Reaction Nonequilibrium Dynamics in Multicomponent Fixed-Bed Adsorption Processes, Comput.Chem.Engng, 15(11), Pergamon},, pp. 749-768
  11. Bhatia, S. (1990), Zeolite Catalysis: Principles Applications, Crc Press, Boca Raton, pp. 1-291
  12. Bird, R.B. (1960), Transport Phenomena, John Wiley \& Sons, New York
  13. Birdi, K.S. (1993), Fractals in Chemistry, Geochemistry Biophysics - An Introduction, Plenum Press, New York
  14. Brandani, F., Ruthven, D., Coe, CG. (2003), Measurement of adsorption equilibrium by the zero length column (ZLC) technique part 1: Single-component systems, Industrial \& Engineering Chemistry Research, 42(7), Amer Chemical Soc, 1155 16th St, Nw, Washington, Dc 20036 Usa, pp. 1451 - 1461
  15. Brandani, F., Ruthven, D. (2003), Measurement of adsorption equilibria by the zero length column (ZLC) technique part 2: Binary systems, Industrial \& Engineering Chemistry Research, 42(7), Amer Chemical Soc, 1155 16th St, Nw, Washington, Dc 20036 Usa, pp. 1462 - 1469
  16. Brandani, S. Ruthven, D.M. (1995), Analysis of {ZLC} Desorption Curves for Liquid Systems, Chem.Eng.Sci, 50(13), Pergamon, pp. 2055-2059
  17. Brandani, S. Ruthven, D.M. (1996), Moments Analysis of the Zero Lenght Column Method, Ind.Eng.Chem.Res, 35, American Chemical Society, pp. 315-319
  18. Brandani, S. Babiker, S. Asenov, A. Barker, J.R. Beaumont, S.P. (1996), Analytical solution for ZLC desorption curves with bi-porous adsorbent particles Finite-element monte-carlo simulation of recess gate compound ffts, Chem.Eng.Sci, 51(12), pp. 3283-3288
  19. Brandani, S. (1998), Effects of nonlinear equilibrium on zero length column experiments, Chem.Eng.Sci, 53(15), Pergamon-elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1gb, England, pp. 2791 - 2798
  20. Braun, M. (1993), Differential Equations Their Applications, Springer Verlag, New York, pp. 1-578
  21. Broeke, L.J.P. Van Den (1995), Simulation of Diffusion in Zeolitic Structures, Aiche.J, 41(11), pp. 2399-2414
  22. Broeke, L.J.P. Van Den Krishna, R. (1995), Experimental Verification of the Maxwell-Stefan Theory for Micropore Diffusion, Chem.Eng.Sci, 50(16), pp. 2507-2522
  23. Bruaset, A.M. (1994), Diffpack Tools for Automatic Generation of Result Reports, Sintef, Oslo, pp. 1-45
  24. Bruaset, A.M. Langtangen, H.P. (1994), Object-Oriented Design of Preconditioned Iterative Methods, Sintef, Oslo, pp. 1-18
  25. Burgharst, A. Rogut, J. Gotkowska, Jolanta (1988), Diffusion Coefficients in Bidisperse Porous Structures, Chem.Eng.Sci, 43(9), Pergamon Press, pp. 2463-2476
  26. Carleton, F.B. Kershenbaum, L.S. Wakeham, W.A. (1978), Adsorption in non-isobaric fixed beds, Chem.Eng.Sci, 33, Pergamon Press, pp. 1239-1246
  27. Carter, J.W. (1966), A Numerical Method for Prediction of Adiabatic Adsorption in Fixed Beds, Trans.Instn.Chem.Engrs, 44, p. T253
  28. Carter, J.W. (1968), Isothermal Adiabatic Adsorption in Fixed Beds, Trans.Instn.Chem.Engrs, 46, p. T213
  29. Carter, J.W. (1973), Comparative Study for Fixed Bed Adsorption of Water Vapour by Activated Alumina, Silica Gel Molecular Sieve Adsorbents, Trans.Instn.Chem.Engrs, 51, pp. 75-81
  30. Cavazzini, A., Dondi, F., Jaulmes, A., Vidal-Madjar, C., Felinger, A. (2002), Monte Carlo model of nonlinear chromatography: correspondence between the microscopic stochastic model the macroscopic Thomas kinetic model, Analytical Chemistry, 74(24), Amer Chemical Soc, 1155 16th St, Nw, Washington, Dc 20036 Usa, pp. 6269 - 6278
  31. Chiang, A.S. Dixon, A.G. Ma, Y.H. (1984), The Determination of Zeolite Crystal Diffusivity by Gas Chromatography. {II}. Experimental, Chem.Eng.Sci, 39(10), Pergamon, pp. 1461-1468
  32. Chiang, A.S. Dixon, A.G. Ma, Y.H. (1984), The Determination of Zeolite Crystal Diffusivity of Gas Chromatography. {I}. Theoretical, Chem.Eng.Sci, 39(10), Pergamon, pp. 1451-1459
  33. Chopey, N.P. (1984), Handbook of Chemical Engineering Calculations, Mcgraw-hill, New York, pp. 1-660
  34. Choudhary, V.R. Mayadevi, S. Singh, A.P. (1995), Sorption Isotherms of Methane, Ethane, Ethene Carbon Dioxyde on NaX, NaY Na-mordenite Zeolites, J.Chem.Soc.-faraday.Trans, 91(17), pp. 2935-2944
  35. Choudhary, VR. Choudhary, TV. (1997), Entrance of straight branched chain compounds from their bulk liquid phase into {H}-{ZSM}-5 zeolite, Chem.Eng.Sci, 52(20), Pergamon-elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford, England Ox5 1gb, pp. 3543 - 3552
  36. Cook, R.D. (1974), Concepts Applications of Finite Element Analysis, Wiley And Sons, New York, pp. 1-402
  37. Coppens, M.-O. Froment, G.F. (1995), Diffusion Reaction in a Fractal Catalyst Pore. {I}. Geometrical Aspects, Chem.Eng.Sci, 50(6), Pergamon, pp. 1013-1026
  38. Coppens, M.-O. Froment, G.F. (1995), Diffusion Reaction in a Fractal Catalyst Pore. {II}. Diffusion First-Order Reaction, Chem.Eng.Sci, 50(6), Pergamon, pp. 1027-1039
  39. Darmstadt, H. Roy, C. Kaliaguine, S. Sahouli, B. Blacher, S. Pirard, R. Brouers, F. (1995), Fractal Analysis of Commercial Pyrolytic Carbon Blacks using Nitrogen Adsorption Data, Rubber Chemistry And Technology, 68
  40. Darmstadt, H. Roy, Ch. Kaliaguine, S. Cormier, O. (1997), Surface Energy of Commercial Pyrolytic Carbon Blacks by Inverse Gas Chromatography, Rubber Chemistry And Technology, 70(5), pp. 759-768
  41. Davis, M.E. (1984), Numerical Methods Modelling for Chemical Engineers, John Wiley \& Sons, Toronto, pp. 1-258
  42. Deemter, J.J. van Zuiderweg, F.J. Klinkenberg, A. (1956), Longitudinal diffusion resistance to mass transfer as causes of nonideality in chromatography, Chem.Eng.Sci, 5, Pergamon, pp. 271-289
  43. Gouri Dhatt Gilbert Touzot (1981), Une présentation de la méthode des éléments finis, Les Presses De L'université Laval, Québec
  44. Dixon, A.G. Creswell, D.L. (1979), Theoretical Prediction of Effective Heat Transfer Parameters in Packed Beds, Aiche.J, 25(4), pp. 663-675
  45. Dixon, A.G. Ma, Y.H. (1988), A Comparison of Moment Methods for Non-isobaric Gas Chromatography Columns, Chem.Eng.Sci, 43(6), Pergamon, pp. 1297-1302
  46. Dogu, T. (1998), Diffusion reaction in catalyst pellets with bidisperse pore size distribution, Ind.Eng.Chem.Res, 37(6), Amer Chemical Soc, 1155 16th St, Nw, Washington, Dc 20036, pp. 2158 - 2171
  47. Du, H. Stillman, M.J. (1997), Automation of gas chromatography instruments .1. Automated peak identification in the chromatograms of standard test mixtures, Analytica Chimica Acta, 354(1-3), Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, pp. 65 - 76
  48. Eberly, P.E.Jr. (1976), Zeolite Chemistry Catalysis, American Chemical Society, Washington, D.c.
  49. Eckel, B. (1993), C++ Inside \& Out, Osborne Mcgraw-hill, Berkeley
  50. Farooq, S. Ruthven, D.M. (1990), Heat Effects in Adsorption Column Dynamics. 1. Comparison of One Two-Dimensional Models, Ind.Eng.Chem.Res, 29, American Chemical Society, pp. 1076-1984
  51. Farooq, S. Ruthven, D.M. (1990), Heat Effects in Adsorption Column Dynamics. 2. Experimental Validation of the One-Dimensional Model, Ind.Eng.Chem.Res, 29, American Chemical Society, pp. 1084-1090
  52. Finlayson, B.A. (1980), Nonlinear Analysis in Chemical Engineering, Mcgraw-hill
  53. Fornstedt, T. Zhong, G.M. Guiochon, G. (1996), Peak tailing mass-transfer kinetics in linear chromatography, Journal Of Chromatography A, 741(1), pp. 1-12
  54. Fornstedt, T. Zhong, G.M. Guiochon, G. (1996), Peak tailing slow mass-transfer kinetics in nonlinear chromatography, Journal Of Chromatography A, 742(1-2), pp. 55-68
  55. Freiwald, M.G. Paterson, W.R. (1992), Accuracy of Model Predictions Reliability of Experimental Data for Heat Transfer in Packed Beds, Chem.Eng.Sci, 47(7), Pergamon, pp. 1545-1560
  56. Frey, G.L. Grushka, E. (1996), Numerical-solution of the complete mass-balance equation in chromatography, Analytical Chemistry, 68(13), pp. 2147-2154
  57. Gamma, E. Helm, R. Johnson, R. Vlissides, J. (1998), Design Patterns CD, Addison-wesley, New York
  58. Garcia-ochoa, F. Santos, A. (1994), Effective Diffusivity under Inert Reaction Conditions, Chem.Eng.Sci, 49(18), Pergamon, pp. 3091-3102
  59. Gardini, Laura Servida, A. Morbidelli, M. Carra, S. (1985), Use of Orthogonal Collocation on Finite Elements with Moving Boundaries for Fixed Bed Catalytic Reactor Simulation, Comput.Chem.Engng, 9(1), Pergamon, pp. 1-17
  60. Giona, M. (1991), Statistical Analysis of Anomalous Transport Phenomena in Complex Media, Aiche.J, 37(8), pp. 1249-1254
  61. Giona, M. (1992), First-Order-Reaction-Diffusion Kinetics in Complex Fractal Media, Chem.Eng.Sci, 47(6), Pergamon, pp. 1503-1515
  62. Golub, G.H. Ortega, J.M. (1992), Scientific Computing Differential Equations. An Introduction to Numerical Methods, Academic Press, Boston, pp. 1-338
  63. Gritti, F., Gotmar, G., Stanley, BJ., Guiochon, G. (2003), Determination of single component isotherms affinity energy distribution by chromatography, Journal Of Chromatography A, 988(2), Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, pp. 185 - 203
  64. Gritti, F., Piatkowski, W., Guiochon, G. (2003), Study of the mass transfer kinetics in a monolithic column, Journal Of Chromatography A, 983(1-2), Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, pp. 51 - 71
  65. Gunn, D.J. Khalid, K. (1975), Thermal Dispersion Wall Heat TRansfer in Packed Beds, Chem.Eng.Sci, 30, pp. 261-267
  66. Harwell, J.H. Liapis, A.I. Litchfield, R. Hanson, D.T. (1980), A Non-Equilibrium Model for Fixed-bed Multi-component Adiabatic Adsorption, Chem.Eng.Sci, 35, Pergamon Press, pp. 2287-2296
  67. Hashimoto, N. Smith, J.M. (1974), Diffusion in Bidisperse Porous Catalyst Pellets, Ind.Eng.Chem.Fundam, 13(2), pp. 115-120
  68. Haynes, H.W. Sarma, P.N. (1973), A Model for the Application of Gas Chromatography to Measurements of Diffusion in Bidisperse Structured Catalysts, Aiche.J, 19(5), pp. 1043-1046
  69. Haynes, H.W.Jr. (1986), An Analysis of Sorption Heat Effects in the Pulse Gas Chromatography Diffusion Experiment, Aiche.J, 32(10), pp. 1750-1753
  70. Heidelberg, R.B. Goteborg, C.J. Rannacher, R. (1995), Adaptive error control for multigrid finite-element methods, Computing, 55(4), pp. 271-288
  71. Hollewand, M.P. Gladden, L.F. (1992), Modelling of Diffusion Reaction in Porous Catalysts using a Random Three-Dimensional Network Model, Chem.Eng.Sci, 47(7), pp. 1761-1770
  72. Hollewand, M.P. Gladden, L.F. (1992), Representation of Porous Catalysts using Random Pore Networks, Chem.Eng.Sci, 47(9-11), pp. 2757-2762
  73. Hsu, L.-K.P. Haynes, H.W.Jr. (1981), Effective Diffusivity by The Gas Chromatography Technique: Analysis Application to Measurements of Diffusion of Various Hydrocarbons in Zeolite NaY, Aiche.J, 27(1), The American Institute Of Chemical Engineers, pp. 81-91
  74. Hu, X. Do, D.D. (1993), Role of Energy Distribution in Multicomponent Sorption Kinetics in Bidispersed Solids, Aiche.J, 39(10), pp. 1628-1640
  75. Hu, X. Rao, G.N. Do, D.D. (1993), Effect of Energy Distribution on Sorption Kinetics in Bidispersed Particles, Aiche.J, 39(2), pp. 249-261
  76. Hu, X. Do, D.D. (1995), Comparing Various Multicomponent Adsorption Equilibrium Models, Aiche.J, 41(6), pp. 1585-1592
  77. Hu, X. Do, D.D. (1995), Validity of Isothermality in Adsorption Kinetics of Gases in Bidispersed Solids, Aiche.J, 41(6), pp. 1581-1584
  78. Hwang, K.S. Jun, J.H. Lee, W.K. (1995), Fixed Bed Adsorption for Bulk Component System. Non-equlibrium, Non-isothermal Non-adiabatic Model, Chem.Eng.Sci, 50(5), Pergamon, pp. 813-825
  79. Hyun, S.H. Danner, R.P. (1985), Adsorption Equilibrium Constants Intraparticle Diffusivities in Molecular Sieves by Tracer-Pulse Chromatography, Aiche.J, 31(7), pp. 1077-1085
  80. Johnston, R.L. (1982), Numerical Methods. A Software Approach, 1, John Wiley \& Sons, New York, pp. 1-276
  81. Johnston, M.D.Jr. (1988), Computational Chemistry. An Emphasis on Practical Calculations, Elsevier, Amsterdam, pp. 1-680
  82. Kaczmarski, K. (1996), Use of Orthogonal Collocation on Finite Elements with Moving Boundaries in the Simulation of Non-linear Multicomponent Chromatography. Influence of Fluid Velovity Variation on Retention Time in {LC} {HPLC}, Computers \& Chemical Engineering, 20(1), Pergamon, pp. 49-64
  83. Kaczmarski, K. Mazzotti, M. Storti, G. Morbidelli, M. (1997), Modeling fixed-bed adsorption columns through orthogonal collocations on moving finite-elements, Computers \& Chemical Engineering, 21(6), pp. 641-660
  84. Kalinitchev, A. (1995), Effects of Nonlinearity in the Theory of Multicomponent Chromatography, Ind.Eng.Chem.Res, 34, pp. 2625-2633
  85. Kalinitchev, A.I. (1996), Rs)) nonlinear theory of multicomponent sorption dynamics chromatography, Uspekhi Khimii, 65(2), pp. 103-124
  86. Kaminsky, R.D. Monson, P.A. (1994), A Simple Mean Field Theory of Adsorption in Disordered Porous Materials, Chem.Eng.Sci, 49(17), Pergamon, pp. 2967-2977
  87. Kapteijn, F. Bakker, W.J.W. Zheng, G. Poppe, J. Moulijn, J.A. (1995), Permeation Separation of Light Hydrocarbons Through a Silicalite-1 Membrane. Application of the Generalized Maxwell-Stefan Equations, Chem.Eng.J, 57, Elsevier, pp. 145-153
  88. K\"{a}rger, J. Ruthven, D.M. (1989), On the Compasion between Macroscopic {N}.{M}.{R}. Measurements of Intracrystalline Diffusion in Zeolites, Zeolites, 9, Butterworth\&co, pp. 267-281
  89. K\"{a}rger, J. Ruthven, D.M. (1992), Diffusion in Zeolites Other Microporous Solids, John Wiley \& Sons, New York, pp. 1-605
  90. Katsanos, NA. Thede, R. RoubaniKalantzopoulou, F. (1998), Diffusion, adsorption catalytic studies by gas chromatography, J.Chromatog.A, 795(2), Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, pp. 133 - 184
  91. Katsanos, NA. Arvanitopoulou, E. Roubani-Kalantzopoulou, F. Kalantzopoulos, A. (1999), Time distribution of adsorption energies, local monolayer capacities local isotherms on heterogeneous surfaces by inverse gas chromatography, Journal Of Physical Chemistry B, 103(7), Amer Chemical Soc, 1155 16th St, Nw, Washington, Dc 20036 Usa, pp. 1152 - 1157
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  93. Kellogg, R.B. Liu, B.Y. (1996), A finite-element method for the compressible stokes equations, Siam Journal On Numerical Analysis, 33(2), pp. 780-788
  94. Kim, D.Y. Chang, K.S. (1995), Time-Domain Solutions of Unsteady-State Mass Transfer Models for Biporous Catalyst in a Continuous-Flow Gradientless Reactor, Ind.Eng.Chem.Res, 49(13), Pergamon, pp. 2173-2185
  95. Kocirik, M. (1995), Transport of Labeled Unlabeled Molecules in {ZSM}-5 Zeolites. {A} Model with Immobilization of Sorbing Species, Langmuir, 11, pp. 3042-3047
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  98. Krishna, R. (1993), Problems Pitfalls in the Use of the Fick Formulation for Intraparticle Diffusion, Chem.Eng.Sci, 48(5), Pergamon, pp. 845-861
  99. Krishna, R. den Broeke, L.J.P. van (1995), The Maxwell-Stefan Description of Mass Transport Across Zeolite Membranes, Chem.Eng.J, 57, Elsevier, pp. 155-162
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  105. Langtangen, H.P. (1994), Class Dictionary for the Project "Toolkits in Industrial Mathematics", Sintef, Oslo, pp. 1-8
  106. Langtangen, H.P. (1994), Debugging Diffpack Programs, Sintef, Oslo, pp. 1-11
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  112. Langtangen, H.P. (1994), Getting Started with Finite Element Programming in {DIFFPACK}, Sintef, Oslo, pp. 1-69
  113. Langtangen, H.P. (1994), Smart Pointers, Sintef, Oslo, pp. 1-16
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  115. Langtangen, H.P. (1994), The Diffpack Implementation of a Navier-Stokes Solver BAsed on the Penalty Function Method, Sintef, Oslo, pp. 1-30
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