Modelling multicomponent adsorption process by a moving finite element method

Coimbra, Maria do Carmo; Sereno, Carlos; Rodrigues, Alírio E.

doi:10.1016/s0377-0427(99)00171-5

Cited by 13 publications

(2 citation statements)

References 11 publications

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“…e general rate model (GRM), the lumped kinetic model, and the dispersive equilibrium model are the most frequently and commonly utilized models in liquid chromatography. In the literature, multiple numerical techniques like finite volumes method, finite-difference method, and finite element methods have been employed to simulate the chromatographic models [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A Novel Numerical Treatment of Nonlinear and Nonequilibrium Model of Gradient Elution Chromatography considering Core-Shell Particles in the Column

Ahmad¹,

Kaabar

Rashid

et al. 2022

Mathematical Problems in Engineering

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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.

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Section: Introductionmentioning

confidence: 99%

A Novel Numerical Treatment of Nonlinear and Nonequilibrium Model of Gradient Elution Chromatography considering Core-Shell Particles in the Column

Ahmad¹,

Kaabar

Rashid

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Other approaches are the finite volume method (FVM) with flux limiters based on total variation diminishing (TVD) to avoid the spurious oscillations (LeVeque, 2002) and the finite element method (FEM) with moving nodes to reduce computational load (Coimbra et al, 2000). Since oscillatory errors cause critical problems in the simulation of physical systems, weighted essentially nonoscillatory (WENO) schemes were introduced (Liu et al, 1994).…”

Section: Introductionmentioning

confidence: 99%