Numerical Simulation of Band Propagation in Nonlinear Chromatography
Pierre Rouchon, Marc Schonauer, Patrick Valentin, Georges Guiochon
Abstract
This chapter discusses a model for the propagation of a finite concentration zone in a chromatographic column for the case of a single component sample. This model is based on the modern theory of nonlinear hyperbolic systems of partial differential equations. The theory of the migration of zones in analytical chromatography usually assumes that the concentration of the solute in the mobile phase is negligibly small. The chapter provides the presentation of such a model and a discussion of its numerical solution in the simple case of the elution of a single component band in gas chromatography. It discusses the theoretical background of a numerical solution of the system of partial differential equations which describes the migration of a single component band. In gas chromatography the sorption effect tends to act in an opposite way to the isotherm effect just described.