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The filters work in many areas of technology. There constructions aredifferent and substances under filtration are different. It is necessary insome cases to take into account forming of sediments on the walls of the filtersince they can change properties of the filter or blind the filtering aperturesat all. I construct a mathematical model of sedimentation growth on the wallsof the porous filter in this article. Analytical investigation is present inthe article and numeric results too. There are formulas for dependencies ofconcentration near the walls on inner concentration in liquid in the article.Flow speed, calculated time of work, purification efficiency and otherparameters proved to be important factors. Differing of radiuses of aperturesfrom membrane to membrane can make contamination equal along the filter.Numerical results show importance of preliminary calculation of the filter forthe purpose it will serve. Forming of calcic sediment is an investigatedexample of chemical reaction.

Mathematical Modeling of Sediments in the Filter and Improvement of the Filter Construction