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A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column

An extended method of semidiscrete high-resolution finite volume is used in this paper to obtain numerical solutions for a formulated nonlinear lumped kinetic model of liquid chromatographic process to examine the effect of chromatographic column overloading gradient elution considering core-shell p...

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Main Authors: Ahmad, Abdulaziz Garba, Kaabar, Mohammed K. A., Rashid, Saima, Abid, Muhammad
Format: Article
Published: Mathematical Problems in Engineering 2022
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.um.edu.my/42196/
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spelling my.um.eprints.421962023-10-16T02:42:18Z http://eprints.um.edu.my/42196/ A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column Ahmad, Abdulaziz Garba Kaabar, Mohammed K. A. Rashid, Saima Abid, Muhammad Q Science (General) QA Mathematics An extended method of semidiscrete high-resolution finite volume is used in this paper to obtain numerical solutions for a formulated nonlinear lumped kinetic model of liquid chromatographic process to examine the effect of chromatographic column overloading gradient elution considering core-shell particles. The model constitutes linear solvent strength (LSS), Henry's constant, coefficient of nonlinearity, and coefficient of axial dispersion. The effects of modulator concentration changes for the elution of single and two components are analyzed. The advantages of introducing gradient elution against isocratic elution in terms of core radius fraction are investigated intensively. Numerical temporal moments are generated from the solutions obtained for a more in-depth examination of the considered model. Moreover, multiple forms of a single- and two-component mixture are generated to analyze the influences of core radius fractions on gradient elution. For example, the obtained results are utilized to investigate the effects of the slope of gradient, concentration of modulator, solvent strength parameter, coefficient of nonlinearity, coefficient of mass transfer, and coefficient of axial dispersion on the profiles of concentration in order to improve the process performance using optimal core radius fraction parameter values. Mathematical Problems in Engineering 2022-05 Article PeerReviewed Ahmad, Abdulaziz Garba and Kaabar, Mohammed K. A. and Rashid, Saima and Abid, Muhammad (2022) A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column. Mathematical Problems in Engineering, 2022. ISSN 1024-123X, DOI https://doi.org/10.1155/2022/1619702 <https://doi.org/10.1155/2022/1619702>. 10.1155/2022/1619702
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Ahmad, Abdulaziz Garba
Kaabar, Mohammed K. A.
Rashid, Saima
Abid, Muhammad
A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
description An extended method of semidiscrete high-resolution finite volume is used in this paper to obtain numerical solutions for a formulated nonlinear lumped kinetic model of liquid chromatographic process to examine the effect of chromatographic column overloading gradient elution considering core-shell particles. The model constitutes linear solvent strength (LSS), Henry's constant, coefficient of nonlinearity, and coefficient of axial dispersion. The effects of modulator concentration changes for the elution of single and two components are analyzed. The advantages of introducing gradient elution against isocratic elution in terms of core radius fraction are investigated intensively. Numerical temporal moments are generated from the solutions obtained for a more in-depth examination of the considered model. Moreover, multiple forms of a single- and two-component mixture are generated to analyze the influences of core radius fractions on gradient elution. For example, the obtained results are utilized to investigate the effects of the slope of gradient, concentration of modulator, solvent strength parameter, coefficient of nonlinearity, coefficient of mass transfer, and coefficient of axial dispersion on the profiles of concentration in order to improve the process performance using optimal core radius fraction parameter values.
format Article
author Ahmad, Abdulaziz Garba
Kaabar, Mohammed K. A.
Rashid, Saima
Abid, Muhammad
author_facet Ahmad, Abdulaziz Garba
Kaabar, Mohammed K. A.
Rashid, Saima
Abid, Muhammad
author_sort Ahmad, Abdulaziz Garba
title A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
title_short A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
title_full A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
title_fullStr A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
title_full_unstemmed A novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
title_sort novel numerical treatment of nonlinear and nonequilibrium model of gradient elution chromatography considering core-shell particles in the column
publisher Mathematical Problems in Engineering
publishDate 2022
url http://eprints.um.edu.my/42196/
_version_ 1781704608886816768
score 13.223943

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