{"id":7354,"date":"2021-04-19T09:31:10","date_gmt":"2021-04-19T06:31:10","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=7354"},"modified":"2021-08-05T15:28:21","modified_gmt":"2021-08-05T12:28:21","slug":"%d0%b4%d0%be-%d1%80%d0%be%d0%b7%d1%80%d0%b0%d1%85%d1%83%d0%bd%d0%ba%d1%83-%d1%82%d0%b0-%d0%bc%d0%be%d0%b4%d0%b5%d0%bb%d1%8e%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d1%88%d0%b2%d0%b8%d0%b4%d0%ba%d0%be%d1%81","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=7354","title":{"rendered":"\u0414\u043e \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 \u0442\u0430 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0448\u0432\u0438\u0434\u043a\u043e\u0441\u0442\u0456 \u0444\u0456\u043b\u044c\u0442\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u043f\u043e\u0432\u0456\u043b\u044c\u043d\u043e\u0433\u043e \u0444\u0456\u043b\u044c\u0442\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u0447\u0435\u0440\u0435\u0437 \u0448\u0430\u0440 \u0441\u043e\u0440\u0431\u0435\u043d\u0442\u0443"},"content":{"rendered":"

<\/p>\n

\u0414\u041e \u0420\u041e\u0417\u0420\u0410\u0425\u0423\u041d\u041a\u0423 \u0422\u0410 \u041c\u041e\u0414\u0415\u041b\u042e\u0412\u0410\u041d\u041d\u042f \u0428\u0412\u0418\u0414\u041a\u041e\u0421\u0422\u0406 \u0424\u0406\u041b\u042c\u0422\u0420\u0423\u0412\u0410\u041d\u041d\u042f \u0414\u041b\u042f \u041f\u041e\u0412\u0406\u041b\u042c\u041d\u041e\u0413\u041e \u0424\u0406\u041b\u042c\u0422\u0420\u0423\u0412\u0410\u041d\u041d\u042f \u0427\u0415\u0420\u0415\u0417 \u0428\u0410\u0420 \u0421\u041e\u0420\u0411\u0415\u041d\u0422\u0423<\/p>\n

TO CALCULATE AND MODELING \u00a0FILTRATION SPEED FOR SLOW FILTERING ON THE SORBENT LAYER<\/p>\n

\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 208-211. \u041d\u043e\u043c\u0435\u0440: \u21161, 2021 (293)<\/strong> \"\"<\/a>
\n\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong>
\n\u041e.\u041e. \u041e\u041d\u0418\u0429\u0423\u041a
\n\u0412\u043e\u043b\u0438\u043d\u0441\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0456\u043c\u0435\u043d\u0456 \u041b\u0435\u0441\u0456 \u0423\u043a\u0440\u0430\u0457\u043d\u043a\u0438
\nO.O. ONYSHCHUK
\nLesya Ukrainka Volyn National University
\nDOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2021-293-1-208-211<\/a>
\n\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 21.01.2021 \u0440.
\n\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 10.03.2021 \u0440.<\/p>\n

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\u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f Steaty-State\u00a0 Filter, \u043c\u0435\u0442\u043e\u0434 \u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u0438\u0445 \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0456\u0432 \u0442\u0430 \u043a\u0456\u043d\u0446\u0435\u0432\u0438\u0445 \u0440\u0456\u0437\u043d\u0438\u0446\u044c \u0432 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u043c\u0443 \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u0456 ANSYS. \u041e\u0442\u0440\u0438\u043c\u0430\u043d\u0438\u0439 \u0440\u043e\u0437\u0432\u2019\u044f\u0437\u043e\u043a \u0448\u0432\u0438\u0434\u043a\u043e\u0441\u0442\u0456\u00a0 \u043c\u0435\u0442\u043e\u0434\u043e\u043c\u00a0 \u0442\u0430 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0438\u0439 \u0440\u043e\u0437\u0432\u2019\u044f\u0437\u043e\u043a \u0437 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043f\u0430\u043a\u0435\u0442\u0443 ANSYS \u0434\u0430\u0454 \u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c \u043f\u043e\u0440\u0456\u0432\u043d\u044f\u0442\u0438 \u0437\u0431\u0456\u0436\u043d\u0456\u0441\u0442\u044c \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u044c. \u0417\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0447\u0438\u0441\u0435\u043b\u044c\u043d\u0438\u0445 \u0442\u0430 \u0430\u043d\u0430\u043b\u0456\u0442\u0438\u0447\u043d\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u0456\u0432 \u043d\u0430\u0434\u0430\u0454 \u043c\u043e\u0436\u043b\u0438\u0432\u0456\u0441\u0442\u044c \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u0456 \u0442\u0430 \u0444\u0456\u0437\u0438\u043a\u043e-\u0445\u0456\u043c\u0456\u0447\u043d\u0456\u00a0 \u043f\u0440\u043e\u0446\u0435\u0441\u0438.
\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u0444\u0456\u043b\u044c\u0442\u0440\u0443\u0432\u0430\u043d\u043d\u044f, \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f, \u0448\u0432\u0438\u0434\u043a\u0456\u0441\u0442\u044c \u0444\u0456\u043b\u044c\u0442\u0440\u0443\u0432\u0430\u043d\u043d\u044f, \u043c\u0435\u0442\u043e\u0434 \u043a\u0456\u043d\u0446\u0435\u0432\u0438\u0445 \u0440\u0456\u0437\u043d\u0438\u0446\u044c, \u043c\u0435\u0442\u043e\u0434 \u0441\u043a\u0456\u043d\u0447\u0435\u043d\u043d\u0438\u0445 \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0456\u0432, ANSYS.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

It was presented the results of researches of influence of use of a filtering layer of sorbent on admissible filtration speeds are. It was invastigated a filtering model for a parallelepiped with in conditions. It was found that due to the increase in the sorption rate, the highest quality chemical composition of tap water and the reduction of harmful impurities are achieved. It was calculated the filtration rate with the help of mathematical modeling. It was determined the average filtration rate along the parallelepiped using the equation to obtain the differential equation of motion of the fluid in the flow moving through the channel (filter time), a flat elementary parallelepiped and consider its one-dimensional motion with initial and boundary conditions. It was obtained the criterion equation for different forms of sorbent particles using \u00a0the second law of mechanics for one-dimensional motion. It was received and investigated mathematical model of the filtering process with using the finite difference method and ANSYS software. It was shown that the filtering speed along the parallelepiped and along its axis. It was obtained, the higher the filtering speed, the darker the hatching area. It was obtained graphical results of the distribution of the filtration range and filtration rate through the sorbent layer, which confirm the mathematical calculations using ANSYS programs: Steaty-State Filter numerical simulation procedures, finite element method, and finite differences in ANSYS software. It were used for detailed analysis of flat-surface filtering in the form of a parallelepiped and for thin-walled bushings. It was obtained speed solution by the method and the alternative solution using the ANSYS package make it possible to compare the convergence of calculations. The use of numerical and analytical methods provides an opportunity to complex analyze technological and physicochemical processes.
\nKey words:<\/strong> filtering, simulation, filtering speed, finite difference method, finite element method, ANSYS.<\/p>\n

References<\/strong><\/p>\n

    \n
  1. Zapolsky A.K. Water supply, drainage and water quality. \u2013 Kiev: Higher School, 2005 \u2013 67 p.<\/li>\n
  2. Kulsky L.A., Goronovsky I.T., Koganovsky A.M., Shevchenko M.A. Handbook of properties, methods of analysis and water purification. – \u041aiev: scientific opinion, 1980. \u2013 Part 1, 2. \u2013 1206 p.<\/li>\n
  3. Zhuzhikov V.A. Filtering. \u2013 \u041coscow: Chemistry, 1968. \u2013 412 \u0440.<\/li>\n
  4. Ains E. L. Ordinary differential equations \/ Ains E. L. \u2013 Kharkiv: State scientific and technical publishing house of Ukraine, 1939. \u2013 718 p.<\/li>\n
  5. Bomba A.Y. Mathematical modeling of the filtration process and filter regeneration \/ A. J. Bomba, V.M. Sivak, A.P. Safonyk \/\/ Bulletin of the National University of Water Management and Environmental Sciences: Coll. Science. etc. \u2013 2 (42). \u2013 Rivne: Natiomal University Vodnogo Gospodarstva – 2008. – P. 263\u2013268.<\/li>\n
  6. Venetsianov E.V. Mathematical description of filtration clarification of suspensions \/ Venetsianov E.V., Senyavin M.M. \/\/ Teoretical basics of chemisty technologies. \u2013 1976 \u2013 \u2116 4. – P. 584\u2013591<\/li>\n
  7. Gorelkin V.N. Calculation of the force of interaction of macroscopic bodies separated by a thin film of electrolyte \/ Gorelkin V.N., Smilga V.P. \/\/ Colloid magazine. \u2013 \u2013 V. 34, \u2116 5. – P. 685\u2013695.<\/li>\n
  8. Grabovsky P.A. Mathematical model of regeneration of fast filters \/ Grabovsky P.A. \/\/ Chemistry and technology of water. \u2013 \u2013 N. 11, \u2116 4. \u2013 P. 296\u2013300.<\/li>\n<\/ol>\n

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