International Scientific Journal

Thermal Science - Online First

External Links

online first only

Investigation of irreversible reactive liquid chromatography considering linear general rate model

A two-component model of reactive liquid chromatography is presented considering M!N type reaction. The model incorporates surface and pore diffusions in the adsorbates, axial dispersion, interfacial mass transfer, first order chemical reactions in the liquid and particle phases, and two sets of boundary conditions. The model contains a system of four coupled partial differential equations(PDEs) describing the dynamics of reactants and products in both phases. The Laplace transformation and eigen-decomposition technique are jointly applied to solve the model equations analytically. An efficient and accurate numerical Laplace inversion technique is utilized to retrieve back solutions in the original time domain. The developed semi-analytical results are verified against the numerical results of a high resolution finite volume scheme (HR-FVS). A good agreement between the solutions not only confirms the accuracy of semi-analytical results but also validates the accuracy of proposed numerical scheme. This study extends and generalizes our previous analysis on heterogeneous reactions in the liquid chromatography. In order to analyze the behavior of a chromatographic reactor, different case studies are presented showing the effects of model parameters on the process.
PAPER REVISED: 2019-08-15
PAPER ACCEPTED: 2019-08-18
  1. Ganetsos, G., Barker, P. E., Preparative and Production Scale Chromatography, Volume 61, Marcel Dekker, Inc., New York, pp. 375-523, 1993
  2. Guiochon, G., Felinger, A., Shirazi, D. G., Katti, A. M., Fundamentals of Preparative and Nonlinear Chromatography, 2nd ed. ELsevier Inc., Amsterdam, The Netherland, 2006
  3. Wang, C. -C., Yau, H. -T., Application of Hybrid Microwave Thermal Extraction Techniques for Mulberry Root Bark, Thermal Science 17 (2013), pp. 1311-1315
  4. Adiguzel, A. C., Cakar, F., Senkal, B. F., Cankurtaran, O., Gursel, Y. H., Karaman, F., Determination of Glass Transition Temperature and Surface Properties of Novel Chalcone Modified Poly (Styrene) Based Polymer, Thermal Science 23 (2019), pp. S193-S202
  5. Schweich, D., Villermaux, J., The Chromatographic Reactor. A New Theoretical Approach, Ind. Eng. Chem. Fundamen 17 (1978), pp. 1-7
  6. Fricke, J., Schmidt-Traub, H., Kawase, M., Chromatographic Reactor, Ullmann's Encyclopedia of Industrial Chemistry. Wiley-VCH Verlag, Weinheim, 2005
  7. Sardin, M., Schweich, D; Villermaux, J., Ganetsos, G., Barker, P. E. (Eds.), Preparative Fixed-Bed Chromatographic Reactor, Preparative and Production Scale Chromatography, Marcel Dekker Inc., New York, USA, pp. 477, 1993
  8. Villermaux, J., Rodrigues, A. E., Tondeur, D. (Eds.), The Chromatographic Reactor in Percolation Processes: Theory and Applications, Sijthoffen Noordhoff, Alpena an den Rijn, The Netherlands, pp. 539-588, 1981
  9. Qamar, S., Bibi, S., Khan, F. U., Shah, M., Javeed, s., Seidel-Morgenstern, A., Irreversible and Reversible Reactions in a Liquid Chromatographic Column: Analytical Solutions and Moment Analysis, Ind. Eng. Chem. Res. 53 (2014), pp. 2461-2472
  10. Bibi, S., Qamar, S., Seidel-Morgenstern, A., Irreversible and Reversible Reactive Chromatography: Analytical Solutions and Moment Analysis for Rectangular Pulse Injections, J. Chromatogr. A 1385 (2015), pp. 49-62
  11. Bashir, S., Qamar, S., Perveen, S., Seidel-Morgenstern, A, Analysis of Linear Reactive General Rate Model of Chromatography Considering Irreversible and Reversible Reactions, Chem. Eng. Res. Design 119 (2017), pp. 140-159
  12. Durbin, F., Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method, Comput. J. 17 (1974), pp. 371-376
  13. Koren, B., A robust Upwind Discretization Method for Advection, Diffusion and Source Terms, In C. B. Vreugdenhil, B. Koren, editors, Numerical Methods for Advection-Diffusion Problems, Volume 45 of Notes on Numerical Fluid Mechanics, chapter 5, pp. 117-138, Vieweg Verlag, Braunschweig, 1993