期刊名称:American Journal of Computational Mathematics
印刷版ISSN:2161-1203
电子版ISSN:2161-1211
出版年度:2016
卷号:06
期号:03
页码:224-236
DOI:10.4236/ajcm.2016.63023
语种:English
出版社:Scientific Research Publishing
摘要: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.