ANALYSIS OF EQUILIBRIUM DISPERSIVE MODEL OF LIQUID CHROMATOGRAPHY CONSIDERING A QUADRATIC-TYPE ADSORPTION ISOTHERM

Rehman JU, Muneer A, Qamar S (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Thermal Science VINČA Institute of Nuclear Sciences

Book Volume: 26

Pages Range: 2069-2080

Journal Issue: 3

DOI: 10.2298/TSCI201229179U

Abstract

A single-component equilibrium dispersive model of liquid chromatography is solved analytically for a quadratic-type adsorption isotherm. The consideration of quadratic isotherm leads to a non-linear advection-diffusion PDE that hinders the derivation of analytical solution. To over come this difficulty, the Hopf-Cole and exponential transformation techniques are applied one after another to convert the given advection-diffusion PDE to a second order linear diffusion equation. These transformations are applied under the assumption of small non-linearity, or small volumes of injected concentrations, or both. Afterwards, the Fourier transform technique is applied to obtain the analytical solution of the resulting linear diffusion equation. For detailed analysis of the process, numerical temporal moments are obtained from the actual time domain solution. These moments are useful to observe the effects of transport parameters on the shape, height and spreading of the elution peak. A second-order accurate, high resolution semi-discrete finite volume scheme is also utilized to approximate the same model for non-linear Langmuir isotherms. Analytical and numerical results are compared for different case studies to gain knowledge about the ranges of kinetic parameters for which our analytical results are applicable. The effects of various parameters on the mechanism are analyzed under typical operating conditions available in the liquid chromatography literature

Authors with CRIS profile

Adeel Muneer Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)

Involved external institutions

COMSATS University Islamabad (CUI) / / COMSATS Institute of Information Technology (CIIT) PK Pakistan (PK)

How to cite

APA:

Rehman, J.U., Muneer, A., & Qamar, S. (2022). ANALYSIS OF EQUILIBRIUM DISPERSIVE MODEL OF LIQUID CHROMATOGRAPHY CONSIDERING A QUADRATIC-TYPE ADSORPTION ISOTHERM. Thermal Science, 26(3), 2069-2080. https://dx.doi.org/10.2298/TSCI201229179U

MLA:

Rehman, Jamil Ur, Adeel Muneer, and Shamsul Qamar. "ANALYSIS OF EQUILIBRIUM DISPERSIVE MODEL OF LIQUID CHROMATOGRAPHY CONSIDERING A QUADRATIC-TYPE ADSORPTION ISOTHERM." Thermal Science 26.3 (2022): 2069-2080.

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