Initial efficiency collector models for the up flow filtration in a satured porous media

Abstract

The use of a mathematical model allows to obtain conditions for the prediction, operation and control the filtration process, which drives to the improvement of the process in a saturated porous media. The mathematical models describe the filtration process through the mechanisms of particles removal which take place in the medium filter. This work proposes the mathematical modeling based on the models for initial efficiency collector for up flow filtration in a saturated porous media. The existing models for the determination of the initial efficiency collector were conceived for down flow filtration and this work proposes its adaptation for the application to the up flow direct filtration in granular sand material. It takes into account the contribution of the gravitational factor in the efficiency portion for gravity settling in the proposed models for the initial efficiency collector. For the conception proposal in this work, a bench scale setup was utilized for the up flow direct filtration experiments besides the use of computational tools for mathematical regression. For a comparative analysis and validation of the models proposed for up flow filtration values of existing models for initial efficiency collector (conceived for down flow) were used, as well as values obtained by experimental pilot plant for up flow direct filtration.