Wave Mathematical Model to Describe Gas Chromatography

Abstract

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