Abstract In this study, mass transfer of free lutein derived from marigold in a chromatographic process was mathematically modeled. The required model parameters were first determined. The adsorption isotherm was determined from experimental adsorption study using batch method, while the overall mass transfer and axial dispersion coefficients were determined from appropriate empirical equations. The adsorption isotherm was found to be Langmuir and was applied to three mathematical models: ideal model, equilibrium–dispersive model, and transport model. From the results, the transport model was able to the most reasonably describe the mass transfer behavior of free lutein in both linear and nonlinear ranges of concentration. The optimum mobile phase velocity, determined numerically, was 0.16 cm/s.

中文翻译：

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万寿菊花中游离叶黄素的色谱模型

摘要 在这项研究中，对来自万寿菊的游离叶黄素在色谱过程中的传质进行了数学建模。首先确定所需的模型参数。吸附等温线由使用分批法的实验吸附研究确定，而整体传质和轴向分散系数由适当的经验方程确定。吸附等温线被发现是朗缪尔，并应用于三个数学模型：理想模型、平衡-分散模型和传输模型。从结果来看，传输模型能够最合理地描述游离叶黄素在线性和非线性浓度范围内的传质行为。数值确定的最佳流动相速度为 0.16 cm/s。