Author(s)

Jing Zhang¹, Maofei Shao¹, Tao Pan^2*

¹Department of Mathematics, Jinan University, Guangzhou, China.
²Department of Optoelectronic Engineering, Jinan University, Guangzhou, China.

By using fluid dynamics theory with the effects of adsorption and reaction, the chromatography model with a reaction A → B was established as a system of two hyperbolic partial differential equations (PDE’s). In some practical situations, the reaction chromatography model was simplified a semi-coupled system of two linear hyperbolic PDE’s. In which, the reactant concentration wave model was the initial-boundary value problem of a self-closed hyperbolic PDE, while the resultant concentration wave model was the initial-boundary value problem of hyperbolic PDE coupling reactant concentration. The general explicit expressions for the concentration wave of the reactants and resultants were derived by Laplace transform. The δ-pulse and wide pulse injections were taken as the examples to discuss detailedly, and then the stability analysis between the resultant solutions of the two modes of pulse injection was further discussed. It was significant for further analysis of chromatography, optimizing chromatographic separation, determining the physical and chemical characters.

Reaction Chromatography Model, Hyperbolic Partial Differential Equations, Initial-Boundary Problem, Stability Analysis

Zhang, J. , Shao, M. and Pan, T. (2016) Concentration Wave for a Class of Reaction Chromatography System with Pulse Injections. American Journal of Computational Mathematics, 6, 224-236. doi: 10.4236/ajcm.2016.63023.