Mathematical Theory And Numerical Simulation Of Micellar Chromatographic Process

When multi mobile phases flow through the porous media the solutes are adsorbed on the stationary phase and partitioned in the mobile phases simultaneously, which is called multi mobile phase chromatographic process. In case of the adsorption or partition isotherm is nonlinear, the dynamic behavior of the chromatography will be characterized by the propagation of nonlinear wave, which means the concentration wave may selfsharpen to the abrupt concentration discontinuity, i.e. shock wave. The numerical oscillation then occurs in simulation of dynamic coupling multiphase multicomponent chromatography due to the existence of the concentration shock waves. In recent years micellar chromatography, as one of the multi mobile phase chromatographic processes, has developed rapidly and been used widely in the analytical chemistry. However, there is little theoretical analysis on the multi mobile phase chromatography so far. The micellar chromatographic process is thoroughly researched in this thesis. The approach is based on the theory of coherence and combined with method of characteristics and homeomorphism transform. The various cases of micellar chromatographic process of single component, two components and multicomponent are analyzed relatively, and the chromatographic profiles of different processes are simulated. The typical method for solving the multi mobile phase chromatographic process is established by the theoretical analysis and numerical simulation. The concentration profiles of micellar chromatography in different cases are obtained firstly, and the chromatographic mechanism and physical significance are also discussed as well as the coupling effects of flow, extraction and adsorption. It is shown that the chromatographic process may attain the inverse point with the increase of the surfactant concentration, on which the movement sequence of the two corresponding solutes is changed. The approach, which is evident in physical significance and strict in mathematical derivation, can be used to solve the general multiphase multicomponent chromatographic process.