Mathematical Modeling of the Process of Centrifugal Washing of Sludge


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Abstract

In the chemical, food and other industries, in many cases it is necessary to clean crystalline powdery substances to remove surface impurities. For this, at the final stage of the treatment process, they are washed with water or other liquids. In this article, this process is investigated on the example of quantitative analysis of the dissolution of sodium chloride crystals in water by pressure filtration of the solution through the sludge of the processed product on the basis of filtration on centrifugal equipment. To this end, a physico-mathematical problem of the flow of substances in the interstitial capillary gap is formulated in terms of molecular mass by modeling a cylindrical channel. Based on the proposed model and operating parameters of the process of washing NaCl crystals with water from sludge on a centrifugal machine, numerical analysis of the process simulating cleaning the surface of this product to remove impurities was carried out.

About the authors

E. V. Semenov

Moscow State University of Technology and Management named after K. G. Razumovsky (First Cossack University)

Author for correspondence.
Email: sem-post@mail.ru
Russian Federation, Moskva

A. A. Slavyanskii

Moscow State University of Technology and Management named after K. G. Razumovsky (First Cossack University)

Email: sem-post@mail.ru
Russian Federation, Moskva

V. А. Gribkova

Moscow State University of Technology and Management named after K. G. Razumovsky (First Cossack University)

Email: sem-post@mail.ru
Russian Federation, Moskva

N. N. Lebedeva

Moscow State University of Technology and Management named after K. G. Razumovsky (First Cossack University)

Email: sem-post@mail.ru
Russian Federation, Moskva

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