Modeling and simulation of isothermal reactive liquid chromatography for two component elution-effects of core-shell particles

  • Ugochukwu David Uche Department of Mathematics Programme, National Mathematical Centre Abuja, Nigeria
  • Mercy Uche Department of Mathematics Programme, National Mathematical Centre Abuja, Nigeria
  • Folakemi Okafor Department of Mathematics Programme, National Mathematical Centre Abuja, Nigeria
  • Kate Utalor Department of Mathematics Programme, National Mathematical Centre Abuja, Nigeria
Keywords: Liquid chromatography, general rate model, chemical reaction, semi-analytical solutions, numerical solutions

Abstract

In this work, semi-analytical solutions obtained by a combination of analytical and numerical procedure based on the numerical Hankel and Laplace transform inversions and solution of same model using high resolution finite volume numerical method are presented. These solutions are obtained for two-dimensional general rate models for isothermal liquid chromatographic reactors of cylindrical geometry packed with core-shell particles for an irreversible chemical reaction. This task is aimed at investigating the performance of the two-dimensional chromatography column under isothermal operating condition with the use of core-shell particles. The semi-analytical solutions are obtained considering the first-type and second-type boundary conditions. The use of core-shell particles is observed to produce less diffusive and sharper peaks but separation of chemical components is not significantly improved when compared with the results for porous particles.

Published
2022-08-30
How to Cite
Uche, U. D., Uche, M., Okafor, F., & Utalor, K. (2022). Modeling and simulation of isothermal reactive liquid chromatography for two component elution-effects of core-shell particles. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 8(1), 117 - 128. https://doi.org/10.6084/m9.figshare.20653785
Section
Articles