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提出大型液相色谱分离过程FAD-SMT数学模型,把色谱分离连续性方程转变为对流扩散方程和常微分方程组,并提出模型的数值方法,分析了数值解的稳定条件和收敛条件以及空间和时间步长的选取。实验结果表明,FAD-SMT数学模型计算的液相色谱分离葡萄糖、果糖和分离甘露醇、山梨醇理论与实验流出曲线相吻合。灵敏度分析结果表明:相平衡常数比轴向扩散系数和总传质系数对色谱分离有较大的影响。
The mathematical model of FAD-SMT in large-scale liquid chromatographic separation process was proposed. The continuity equation of chromatographic separation was transformed into convection-diffusion equation and the system of ordinary differential equations. The numerical method of the model was proposed. The stability and convergence conditions of numerical solution, Time step selection. The experimental results show that the FAD-SMT mathematical model of liquid chromatography separation of glucose, fructose and mannitol, sorbitol theoretical and experimental outflow curve is consistent. Sensitivity analysis results show that the phase equilibrium constant has a greater influence on the chromatographic separation than the axial diffusion coefficient and the total mass transfer coefficient.