Wave Mathematical Model to Describe Gas Chromatography

<p><em>This paper describes</em><em> the mathematical model of concentration waves passing through a layer of adsorbent.</em><em> The analytic solution to this model deduced for eigenwaves of adsorptive layer had been found. It allows finding the </em><em...

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Main Author: M. B. Kravchenko
Format: Article
Language:English
Published: Odesa National University of Technology 2017-12-01
Series:Holodilʹnaâ Tehnika i Tehnologiâ
Subjects:
Online Access:http://journals.gsjp.eu/index.php/reftech/article/view/922
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author M. B. Kravchenko
author_facet M. B. Kravchenko
author_sort M. B. Kravchenko
collection DOAJ
description <p><em>This paper describes</em><em> the mathematical model of concentration waves passing through a layer of adsorbent.</em><em> The analytic solution to this model deduced for eigenwaves of adsorptive layer had been found. It allows finding the </em><em>analytical</em><em> decisions for concentration signal of arbitrary waveform passing through adsorbing layer. To do this the concentration signal at the input of the adsorption layer must be decomposed into the set of eigenwaves, and then to obtain the analytical solution for each of these proper concentration waves at the outlet of adsorbed layer. Next, all solutions for their proper concentration waves are combined into a new solution, which is the solution for an arbitrary concentration signal that passes through the adsorbent layer. This approach allows us to find solutions for any periodic adsorption processes and allows to consider the variable component concentrations or variable flow losses at the entrance to the adsorption layer. A wave approach to the analysis of periodic adsorption processes gives an explanation to the empirical Van Deemter equation used in the practice of gas chromatography.</em></p>
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spelling doaj.art-5ed6ae43d36341f69335cf9c5f17ce5e2022-12-21T20:28:09ZengOdesa National University of TechnologyHolodilʹnaâ Tehnika i Tehnologiâ0453-83072409-67922017-12-0153610.15673/ret.v53i6.922837Wave Mathematical Model to Describe Gas ChromatographyM. B. Kravchenko0Odesa National Academy of Food Technologies, 112 Kanatna str., Odesa, 65039, Ukraine<p><em>This paper describes</em><em> the mathematical model of concentration waves passing through a layer of adsorbent.</em><em> The analytic solution to this model deduced for eigenwaves of adsorptive layer had been found. It allows finding the </em><em>analytical</em><em> decisions for concentration signal of arbitrary waveform passing through adsorbing layer. To do this the concentration signal at the input of the adsorption layer must be decomposed into the set of eigenwaves, and then to obtain the analytical solution for each of these proper concentration waves at the outlet of adsorbed layer. Next, all solutions for their proper concentration waves are combined into a new solution, which is the solution for an arbitrary concentration signal that passes through the adsorbent layer. This approach allows us to find solutions for any periodic adsorption processes and allows to consider the variable component concentrations or variable flow losses at the entrance to the adsorption layer. A wave approach to the analysis of periodic adsorption processes gives an explanation to the empirical Van Deemter equation used in the practice of gas chromatography.</em></p>http://journals.gsjp.eu/index.php/reftech/article/view/922AdsorptionWaveGas ChromatographyVan Deemter Equation
spellingShingle M. B. Kravchenko
Wave Mathematical Model to Describe Gas Chromatography
Holodilʹnaâ Tehnika i Tehnologiâ
Adsorption
Wave
Gas Chromatography
Van Deemter Equation
title Wave Mathematical Model to Describe Gas Chromatography
title_full Wave Mathematical Model to Describe Gas Chromatography
title_fullStr Wave Mathematical Model to Describe Gas Chromatography
title_full_unstemmed Wave Mathematical Model to Describe Gas Chromatography
title_short Wave Mathematical Model to Describe Gas Chromatography
title_sort wave mathematical model to describe gas chromatography
topic Adsorption
Wave
Gas Chromatography
Van Deemter Equation
url http://journals.gsjp.eu/index.php/reftech/article/view/922
work_keys_str_mv AT mbkravchenko wavemathematicalmodeltodescribegaschromatography