论文标题
通过吸附在包装柱中碳捕获的数学建模
Mathematical modelling of carbon capture in a packed column by adsorption
论文作者
论文摘要
开发和分析了通过吸附的包装柱中碳捕获过程的数学模型。首先，对管理方程式进行了详细的研究。由于内部几何形状的复杂性，平均这些方程是标准做法。在这里，对平均过程进行了重新审视。这表明文献中研究的标准系统中存在许多错误和一些混乱。这些误差会影响参数估计，并在修改或扩展实验设置时会产生后果。假设作为第一个近似值，等温模型可以通过数值求解气体浓度方程。证明了与压力摆动吸附实验的数据的极好一致。获得了一种新的分析解决方案（有效远离入口）。这为诸如吸附气体的量，第一次突破的时间，总过程时间以及反应区的总过程以及宽度和速度等数量提供了明确的关系，显示了这些关系如何取决于工作条件和材料参数。该关系清楚地显示了如何优化碳捕获过程。通过与实验数据进行比较，分析解决方案也可用于计算未知系统参数。
A mathematical model of the process of carbon capture in a packed column by adsorption is developed and analysed. First a detailed study is made of the governing equations. Due to the complexity of the internal geometry it is standard practice to average these equations. Here the averaging process is revisited. This shows that there exists a number of errors and some confusion in the standard systems studied in the literature. These errors affect the parameter estimation, with consequences when the experimental set-up is modified or scaled-up. Assuming, as a first approximation, an isothermal model the gas concentration equation is solved numerically. Excellent agreement with data from a pressure swing adsorption experiment is demonstrated. A new analytical solution (valid away from the inlet) is obtained. This provides explicit relations for quantities such as the amount of adsorbed gas, time of first breakthrough, total process time and width and speed of the reaction zone, showing how these depend on the operating conditions and material parameters. The relations show clearly how to optimise the carbon capture process. By comparison with experimental data the analytical solution may also be used to calculate unknown system parameters.
