A gas chromatography column is modelled by coupled advection-adsorption equations for each analyte, with a reduced-Langmuir kinetic term for attachment to the stationary phase. Because the stationary phase stays far from saturation, the competition between compounds vanishes and the multicomponent system decouples into identical single-component equations that are scaled versions of one another. Applying the Laplace transform then reduces the coupled PDE/ODE system to a single integral with a modified Bessel-function kernel, so the elution profile of every component follows from one numerical integration and only two adsorption and desorption parameters need be fitted per analyte.
In this paper, a mathematical model is developed to describe the evolution of the concentration of compounds through a gas chromatography column. The model couples mass balances and kinetic equations…