Abstract

A mathematical model is proposed for separating liquids which contain acrylic dispersions and returning expensive technological components dissolved within them to the production cycle. The main limiting factor is the formation of a sediment layer on the membrane surface. This process is unsteady, because the thickness of the sediment layer varies both in the time of the separation process and in the length of the membrane module. The influence of the sediment layer on the hydrodynamics and mass transfer efficiency, its productivity, and the quality of purification is determined. The calculation of the sediment layer and its influence on the separation process is performed using the microprocess method. This method is based on material and energy balances and takes into account viscosity and diffusion coefficients, which vary depending on the temperature and composition of the mixture. The dependences of the sediment thickness on time and the length of the membrane module and selectivity coefficients on the concentration of the colloidal solution are obtained to determine the effective parameters of the baromembrane installation.

中文翻译：

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考虑膜表面沉积物形成的超滤过程建模

摘要

提出了一种数学模型，用于分离包含丙烯酸分散体的液体，并将溶解在其中的昂贵技术成分返回生产周期。主要限制因素是在膜表面上形成沉积层。该过程是不稳定的，因为沉积物层的厚度在分离过程的时间和膜组件的长度上都变化。确定了沉积物层对流体动力学和传质效率，其生产率和纯化质量的影响。沉积物层及其对分离过程的影响的计算是使用微处理方法进行的。该方法基于物料和能量的平衡，并考虑了粘度和扩散系数，取决于混合物的温度和组成。获得沉积物厚度随时间和膜组件的长度以及选择性系数与胶体溶液浓度的相关性，以确定气压膜装置的有效参数。