Mathematical modeling and simulation of liquid chromatography for bi-Langmuir isothermal process

Autori

  • M. Uche Mathematics Programme, National Math- ematical Centre Abuja, Nigeria
  • U.D. Uche Department of Mathematics, University of Abuja, Nigeria
  • A.I. Anya Department of Mathematical Sciences, Veritas University Abuja, Bwari-Abuja, Nigeria

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Liquid chromatography##common.commaListSeparator## finite volume scheme##common.commaListSeparator## bi-Langmuir isotherm##common.commaListSeparator## general rate model

Abstrakt

A general rate model of liquid chromatography is used to simulate isothermal operating conditions considering the bi-Langmuir isotherm in a cylindrical column. Radial dispersion inside the column are ignored, hence making it a one-dimensional flow problem. The governing equation is composed of a system of partial differential equations together with the nonlinear expression
of isotherm and completed with the Danckwerts boundary conditions. A high resolution finite volume scheme of Koren is used to obtain approximate solutions of the governing equation. The scheme is second to third order accurate and easily implemented. Several case studies of single and multi-components are carried out to study the behaviors of key model parameters. The results
show that the suggested finite volume scheme avoids numerical oscillations and provides optimum predictions for the obtained solutions. 

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Publikované

2026-01-03

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Uche, M. ., Uche, U. ., & Anya, A. . (2026). Mathematical modeling and simulation of liquid chromatography for bi-Langmuir isothermal process. International Journal of Mathematical Analysis and Modelling, 8(2). Cit z http://tnsmb.org/journal/index.php/ijmam/article/view/244

Číslo

Diel 8 Číslo 2 (2025): Volume 8, No. 2, 2025

Sekcia

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