The paper considers the processes of mass transfer between phases in countercurrents of gas and liquid in stationary packed beds of industrial randomly packed column apparatus. Such beds are widely used in heat and mass transfer, separation, and reaction processes in the oil and gas processing, petrochemistry, and other industries. An approximate approach of mathematical modeling of mass transfer in a randomly packed bed at turbulent gas motion and countercurrent laminar wave flow of liquid film is analyzed. The basic concepts of the multispeed continuum model, in which the transfer equations are written for each phase separately, are used. The phases fill one space, the volume of the continuous phase (gas) exceeding by far that of the liquid one. The interaction of the phases is reflected in averaged transfer terms, which take into account the interfacial transfer phenomena. Those are the mass transfer coefficients and the driving forces of the processes. The concentration profiles of the components are found from the solution to differential mass transfer equations written for a cylindrical channel with a volume source of mass. This approach can be used in the absence of experimental data on the structure of gas and liquid flows in a packed bed, for example, when designing new contact elements.

中文翻译：

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相分布不均的随机填充柱传质数学模型

本文考虑了工业无规填充塔装置固定填充床中气体和液体逆流相之间的传质过程。这种床广泛用于油气加工，石油化学和其他工业中的传热和传质，分离和反应过程。分析了在湍流气体运动和液膜逆流层流下随机填充床传质数学模型的近似方法。使用了多速连续体模型的基本概念，在该模型中，分别为每个相位编写了传递方程。相填充一个空间，连续相（气体）的体积远远超过液相的体积。各阶段之间的相互作用体现在平均转移期限内，考虑到界面转移现象。这些就是传质系数和过程的驱动力。从溶液到微分传质方程式中找到组分的浓度曲线，该方程式是为具有体积质量源的圆柱形通道编写的。例如，在设计新的接触元件时，可在缺乏有关填充床中气体和液体流动结构的实验数据的情况下使用此方法。