[01] Yun Han, Department of Optoelectronic Engineering, Jinan University, Guangzhou, P. R. China. [02] Tao Pan, Department of Optoelectronic Engineering, Jinan University, Guangzhou, P. R. China. [03] Jiemin Li, Department of Optoelectronic Engineering, Jinan University, Guangzhou, P. R. China;Department of Mathematics, Zhanjian Normal College, Zhanjiang, P. R. China.

Based on fluid dynamics theory of the chromatographic process, combined with the effects of adsorption and reaction, the chromatography model with a reaction A→B was established by a system of two nonlinear hyperbolic partial differential equations (PDE). 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 explicit expressions for the concentration wave of the reactants and resultants were constructed by characteristic curve method in general situations. By taking pulse width injection taken as an example, the solution of concentration wave for reactant and resultant were derived detailedly, and then the shape of the outflow curves were further analyzed in a variety of situations. It was significant for further analysis between input and output of chromatography, optimizing chromatographic separation, determining the physical and chemical characters.

Reaction Chromatography Model, Concentration Wave, Outflow Curve, Hyperbolic Partial Differential Equations, Characteristic Curve Method

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