Development of the filtration process mathematical model for purifying gas streams with perforated filter partitions

In this article, an attempt is made to fill the gap in the filtering properties description of materials with a rigid layer structure, for example, perforated foil. A feature of the filtration process with such partitions is that the sediment layer is formed fairly quickly and only on the surface of the partition. Therefore, the properties of the partition are of secondary importance, and, thereafter, the main filter layer is the layer of deposited particles which thickness and porosity are continuously changing. The model is designed to predict the dynamics of changes in the concentration of solid particles in the gas stream at the outlet of the filter. In development of the model, assumptions were made about the duration constancy of the inter-regeneration period, the regeneration efficiency, the specific gas load and the input concentration of solid particles. Making a conclusion about the dominant role in the formation of the sieve effect sediment, the conditions and parameters of the dispersed phase particles capture mechanism were determined. Considering that the number and size of pores constantly change during the filtration process, the effective porosity parameter is introduced as a simplification, which allows to obtain a dependence for finding the concentration of solid particles at the outlet of the filter. Experiments have confirmed the accepted principles and the adequacy of the model. In the future, the presented model can be used to optimize the operation of existing filters using rigid porous partitions, as well as to develop new filter designs and their regeneration systems.

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