Simple models are developed for realistic operation modes of periodic separation. The models comprise instantaneous, simultaneous, and sequential draining. Using our models, the influence of a finite drainage time on separation performance is investigated. Linear case systems are modeled for stationary profiles for both simultaneous and sequential liquid drainage. Performance measures, such as tray efficiencies and mass transfer, are compared for different cases using a consistent modeling framework. We find that draining periods – in general – should be minimized, irrespective of the operating mode. For columns with a few stages, the simultaneous draining is most efficient. With a few stages, the differences are negligible. For higher numbers of stages, the sequential draining becomes superior, partially due to the enabling of mass transfer during draining. Two detailed study cases are provided.

中文翻译：

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周期性分离中的排水建模

为周期性分离的现实操作模式开发了简单的模型。这些模型包括瞬时、同时和顺序排放。使用我们的模型，研究了有限排水时间对分离性能的影响。线性箱体系统针对同时和顺序液体排放的固定剖面进行建模。使用一致的建模框架比较不同情况下的性能指标，例如托盘效率和传质。我们发现，无论操作模式如何，排水周期——一般来说——都应该最小化。对于具有几个阶段的色谱柱，同时排放是最有效的。通过几个阶段，差异可以忽略不计。对于更多的阶段，顺序排水变得更好，部分原因是在排水过程中能够进行传质。提供了两个详细的研究案例。