线上求解法和MATLAB用于色谱分离动力学模拟

Method of lines and MATLAB for solving chromatography dynamic models

以线性推动力模型为基础,建立考虑轴向扩散、传质阻力和非线性吸附的色谱分离动力学模型,得到一组偏微分方程, 然后用线上求解法将偏微分方程转化为常微分方程,采用MATLAB的常微分方程求解器求解。部分模拟结果与试验值进行了比较,结果表明,线上求解法结合MATLAB的常微分求解器可快速、准确地模拟色谱分离过程。

On the basis of the model of linear driving force, mathematical models for chromatography separation, which consider axial dispersion, mass transfer resistance and nonlinear adsorption isotherm, were established. The partial different equations were transformed to ordinary different equations by method of lines. Then the ordinary different equations were solved with ODE solvers in MAT- LAB. Some simulation results were verified by experimental data. The model solving process demonstrates that the combination of method of lines and ODE solvers in MATLAB is capable of solving the chromatography dynamics model quickly and accurately.