A mathematical model of coupled momentum and mass transfer including thermal degradation of trans-resveratrol from grape cane powder was developed. The experimental results, which were used for model validation, were based on a solid-liquid extraction study which was previously conducted using a semi-continuous pressurized low-polarity water (PLPW) column extraction system. During extraction, the system is considered to work under isothermal and steady-state conditions regarding heat and momentum transfer. Verification of those assumptions is also obtained by the simulation of related time-dependent physics. The used mathematical models are based on macroscopic porous medium approach with volume averaged physical properties. The resulting equations were solved using Finite Element Method by COMSOL Multiphysics® version 5.3a. The model enables the prediction of the temperature distribution at pre-heating period, and concentration and degradation of trans-resveratrol in the column. The model can also simulate the changes in temperature and ratio of ethanol in the aqueous extraction solvent.

建立了包括甘蔗粉中反式白藜芦醇热降解在内的动量与质量传递耦合的数学模型。用于模型验证的实验结果基于固液萃取研究，该研究先前使用半连续加压低极性水（PLPW）柱萃取系统进行。在提取过程中，系统被认为可以在关于热量和动量传递的等温和稳态条件下工作。这些假设的验证也可以通过模拟相关的随时间变化的物理学来获得。所使用的数学模型基于具有体积平均物理特性的宏观多孔介质方法。使用COMSOLMultiphysics®版本5.3a的有限元方法对所得方程进行求解。该模型可以预测预热期间的温度分布以及塔中反式白藜芦醇的浓度和降解。该模型还可以模拟温度和含水萃取溶剂中乙醇比例的变化。