{"id":1072,"date":"2021-01-15T20:07:20","date_gmt":"2021-01-15T18:07:20","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=1072"},"modified":"2021-03-23T12:43:22","modified_gmt":"2021-03-23T10:43:22","slug":"%d0%b2%d0%b8%d0%b7%d0%bd%d0%b0%d1%87%d0%b5%d0%bd%d0%bd%d1%8f-%d1%80%d0%be%d0%b7%d0%bf%d0%be%d0%b4%d1%96%d0%bb%d0%b5%d0%bd%d0%bd%d1%8f-%d1%87%d0%b0%d1%81%d1%82%d0%b8%d0%bd%d0%be%d0%ba-%d1%81%d0%b8","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=1072","title":{"rendered":"\u0412\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0435\u043d\u043d\u044f \u0447\u0430\u0441\u0442\u0438\u043d\u043e\u043a \u0441\u0438\u043f\u043a\u0438\u0445 \u043c\u0430\u0442\u0435\u0440\u0456\u0430\u043b\u0456\u0432 \u043f\u0456\u0434 \u0447\u0430\u0441 \u043f\u0435\u0440\u0435\u043c\u0456\u0448\u0443\u0432\u0430\u043d\u043d\u044f \u0443 \u0440\u043e\u0442\u043e\u0440\u0456 \u0432\u0456\u0434\u0446\u0435\u043d\u0442\u0440\u043e\u0432\u043e\u0433\u043e \u0437\u043c\u0456\u0448\u0443\u0432\u0430\u0447\u0430 \u0431\u0435\u0437\u043f\u0435\u0440\u0435\u0440\u0432\u043d\u043e\u0457 \u0434\u0456\u0457"},"content":{"rendered":"<p style=\"text-align: center;\">\u0412\u0418\u0417\u041d\u0410\u0427\u0415\u041d\u041d\u042f \u0420\u041e\u0417\u041f\u041e\u0414\u0406\u041b\u0415\u041d\u041d\u042f \u0427\u0410\u0421\u0422\u0418\u041d\u041e\u041a \u0421\u0418\u041f\u041a\u0418\u0425 \u041c\u0410\u0422\u0415\u0420\u0406\u0410\u041b\u0406\u0412 \u041f\u0406\u0414 \u0427\u0410\u0421 \u041f\u0415\u0420\u0415\u041c\u0406\u0428\u0423\u0412\u0410\u041d\u041d\u042f \u0423 \u0420\u041e\u0422\u041e\u0420\u0406 \u0412\u0406\u0414\u0426\u0415\u041d\u0422\u0420\u041e\u0412\u041e\u0413\u041e \u0417\u041c\u0406\u0428\u0423\u0412\u0410\u0427\u0410 \u0411\u0415\u0417\u041f\u0415\u0420\u0415\u0420\u0412\u041d\u041e\u0407 \u0414\u0406\u0407<\/p>\n<p style=\"text-align: center;\">DETERMINATION OF THE BULK MATERIALS PARTICLES DISTRIBUTION DURING MIXING IN THE CONTINUOUS ACTION CENTRIFUGAL MIXERS ROTOR<\/p>\n<p><a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/39-3.pdf\"><img src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\" \/><\/a> <strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 238-244. \u041d\u043e\u043c\u0435\u0440: \u21161, 2020 (281)<\/strong><br \/>\n<strong>\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong><br \/>\n\u0412.\u0412. \u0421\u0422\u0410\u0426\u0415\u041d\u041a\u041e, \u041e.\u041f. \u0411\u0423\u0420\u041c\u0406\u0421\u0422\u0415\u041d\u041a\u041e\u0412, \u0422.\u042f. \u0411\u0406\u041b\u0410<br \/>\n\u041a\u0438\u0457\u0432\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 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0439 \u0442\u0430 \u0434\u0438\u0437\u0430\u0439\u043d\u0443<br \/>\nV.V. STATSENKO, O.P. BURMISTENKOV, T.Y. BILA<br \/>\nKyiv National University of Technologies and Design<br \/>\n<strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5732-2020-281-1-238-244\">https:\/\/www.doi.org\/10.31891\/2307-5732-2020-281-1-238-244<\/a><br \/>\n<strong>\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 14. 01.2020 \u0440.<br \/>\n<strong>\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 14.02.2020 \u0440.<\/p>\n<p style=\"text-align: center;\"><strong>\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n<p>\u0423 \u0440\u043e\u0431\u043e\u0442\u0456 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f \u0440\u0443\u0445\u0443 \u0447\u0430\u0441\u0442\u0438\u043d\u043e\u043a \u0441\u0438\u043f\u043a\u0438\u0445 \u043c\u0430\u0442\u0435\u0440\u0456\u0430\u043b\u0456\u0432 \u0432\u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0456 \u043a\u043e\u043d\u0456\u0447\u043d\u043e\u0433\u043e \u0440\u043e\u0442\u043e\u0440\u0430 \u0432\u0456\u0434\u0446\u0435\u043d\u0442\u0440\u043e\u0432\u043e\u0433\u043e \u0437\u043c\u0456\u0448\u0443\u0432\u0430\u0447\u0430 \u0431\u0435\u0437\u043f\u0435\u0440\u0435\u0440\u0432\u043d\u043e\u0457 \u0434\u0456\u0457. \u041d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0456 \u043c\u043e\u0434\u0435\u043b\u0456 \u0440\u0443\u0445\u0443 \u0447\u0430\u0441\u0442\u0438\u043d\u043e\u043a \u0443 \u0440\u0456\u0437\u043d\u0438\u0445 \u0437\u043e\u043d\u0430\u0445 \u0440\u043e\u0442\u043e\u0440\u0430. \u041f\u043e\u043a\u0430\u0437\u0430\u043d\u043e \u0442\u0440\u0430\u0454\u043a\u0442\u043e\u0440\u0456\u0457 \u0440\u0443\u0445\u0443 \u0447\u0430\u0441\u0442\u0438\u043d\u043e\u043a. \u0414\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043e \u0432\u043f\u043b\u0438\u0432 \u043f\u043e\u0447\u0430\u0442\u043a\u043e\u0432\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044f \u0447\u0430\u0441\u0442\u0438\u043d\u043e\u043a \u0443 \u0440\u043e\u0442\u043e\u0440\u0456 \u043d\u0430 \u0457\u0445 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0435\u043d\u043d\u044f \u043f\u0440\u0438 \u0432\u0438\u0445\u043e\u0434\u0456 \u0437 \u0440\u043e\u0442\u043e\u0440\u0430. \u041f\u0440\u043e\u0430\u043d\u0430\u043b\u0456\u0437\u043e\u0432\u0430\u043d\u043e \u0444\u0430\u043a\u0442\u043e\u0440\u0438, \u0449\u043e \u0432\u043f\u043b\u0438\u0432\u0430\u044e\u0442\u044c \u043d\u0430 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044f \u0432\u0445\u0456\u0434\u043d\u0438\u0445 \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0456\u0432 \u0441\u0443\u043c\u0456\u0448\u0456 \u0432\u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0456 \u0440\u043e\u0442\u043e\u0440\u0430. \u0412\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e \u0432\u043f\u043b\u0438\u0432 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 \u043f\u043e\u0442\u043e\u043a\u0456\u0432 \u0432\u0445\u0456\u0434\u043d\u0438\u0445 \u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u0456\u0432 \u043d\u0430 \u043e\u0434\u043d\u043e\u0440\u0456\u0434\u043d\u0456\u0441\u0442\u044c \u0441\u0443\u043c\u0456\u0448\u0456.<br \/>\n<strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u0440\u043e\u0442\u043e\u0440, \u0432\u0456\u0434\u0446\u0435\u043d\u0442\u0440\u043e\u0432\u0438\u0439 \u0437\u043c\u0456\u0448\u0443\u0432\u0430\u0447, \u043e\u0434\u043d\u043e\u0440\u0456\u0434\u043d\u0456\u0441\u0442\u044c \u0441\u0443\u043c\u0456\u0448\u0456, \u0441\u0438\u043f\u043a\u0438\u0439 \u043c\u0430\u0442\u0435\u0440\u0456\u0430\u043b, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f.<\/p>\n<p style=\"text-align: center;\"><strong>\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<p>The article presents the results of the bulk materials particles movement study in continuous centrifugal mixers with conical rotors. Mathematical models of particle motion in the rotor are developed. The systems of differential equations that describe the particles motion on the rotor bottom and side surface are given. Particle trajectories are shown. The effect of the particle flow initial position in the rotor on the particles distribution at the rotor exit is studied. A relationship is established between the particles distribution at the rotor exit and the mixture homogeneity, which was estimated using the coefficient of variation. The mathematical modelling results of a two-component mixture particles distribution under various initial motion conditions of these components are presented. Four variants of the mixture components movement inside the rotor are considered. The initial conditions for the particles motion differed in the initial components flows position at the rotor bottom, as well as in these flows number. For all cases, histograms of the particles distribution along the rotor outer edge with a 150 step were plotted. In all zones, the particles number of each mixture component was calculated and its percentage composition was determined. Based on the data obtained, the mixture homogeneity was determined. It was found that the mixture homogeneity increases with a decrease in the difference between the particles flows initial motion conditions in the rotor. It was also found that dividing the flows into parts increases the mixture uniformity.<br \/>\n<strong>Key words:<\/strong> rotor, centrifugal mixer, mixture homogeneity, bulk material, mathematical modelling.<\/p>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<ol>\n<li>Protsesy ta obladnannia pidhotovchykh vyrobnytstv l\u0451hkoi promyslovosti \/ O. P. Burmistenkov, O. A. Starodub, V. P. Misiats, T.Ya. Bila, V. V. Statsenko. \u2013 K. : KNUTD, 2011. \u2013 137 s.<\/li>\n<li>Burmistenkov O. P. Vyrobnytstvo lytykh detalei ta vyrobiv z polimernykh materialiv u vzuttievii ta shkirhalantereinii promyslovosti \/ O. P. Burmistenkov, B. M. Zlotenko, V. P. Konoval, I. V. Panasiuk, M. Ye. Skyba, O. M. Syniuk. \u2013 Khmelnytskkyi : KhNU, 2007. \u2013 255 s.<\/li>\n<li>Statsenko V.V. Avtomatyzovani kompleksy bezperervnoho pryhotuvannia kompozytsii sypkykh materialiv : monohrafiia \/ V.V.Statsenko, O.P. Burmistenkov, T.Ia. Bila. \u2013 Kyiv : KNUTD, 2017. \u2013 220 s.<\/li>\n<li>Popov V. L. Mekhanyka kontaktnoho vzaymodeistvyia y fyzyka trenyia \/ Popov V. L. \u2013 M. : Fyzmatlyt, 2012.\u2013 348 c.<\/li>\n<li>Bila T. Ya. Analitychne doslidzhennia rukhu chastok sumishi u dvorotornomu zmishuvachi bezperervnoi dii \/ T. Ya. Bila, V.V.Statsenko \/\/ Visnyk KNUTD. \u2013 2006. \u2013 \u2116 5. \u2013 C. 30\u201334.<\/li>\n<\/ol>\n<p>A. s. SSSR \u2116 1165446, 1985. Smesitel nepreryvnogo deistviia \/ Burmistenkov A. P., Belaia T. Ya., Korzun V. V., Slizhevskii V.A.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0412\u0418\u0417\u041d\u0410\u0427\u0415\u041d\u041d\u042f \u0420\u041e\u0417\u041f\u041e\u0414\u0406\u041b\u0415\u041d\u041d\u042f \u0427\u0410\u0421\u0422\u0418\u041d\u041e\u041a \u0421\u0418\u041f\u041a\u0418\u0425 \u041c\u0410\u0422\u0415\u0420\u0406\u0410\u041b\u0406\u0412 \u041f\u0406\u0414 \u0427\u0410\u0421 \u041f\u0415\u0420\u0415\u041c\u0406\u0428\u0423\u0412\u0410\u041d\u041d\u042f \u0423 \u0420\u041e\u0422\u041e\u0420\u0406 \u0412\u0406\u0414\u0426\u0415\u041d\u0422\u0420\u041e\u0412\u041e\u0413\u041e \u0417\u041c\u0406\u0428\u0423\u0412\u0410\u0427\u0410 \u0411\u0415\u0417\u041f\u0415\u0420\u0415\u0420\u0412\u041d\u041e\u0407 \u0414\u0406\u0407 DETERMINATION OF THE BULK MATERIALS PARTICLES DISTRIBUTION DURING MIXING IN THE CONTINUOUS ACTION CENTRIFUGAL MIXERS ROTOR \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 238-244. \u041d\u043e\u043c\u0435\u0440: \u21161, 2020 (281) \u0410\u0432\u0442\u043e\u0440\u0438: \u0412.\u0412. \u0421\u0422\u0410\u0426\u0415\u041d\u041a\u041e, \u041e.\u041f. \u0411\u0423\u0420\u041c\u0406\u0421\u0422\u0415\u041d\u041a\u041e\u0412, \u0422.\u042f. \u0411\u0406\u041b\u0410 \u041a\u0438\u0457\u0432\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 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0439 \u0442\u0430 \u0434\u0438\u0437\u0430\u0439\u043d\u0443 V.V. STATSENKO, O.P. BURMISTENKOV, T.Y. BILA [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[13],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1072"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1072"}],"version-history":[{"count":3,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1072\/revisions"}],"predecessor-version":[{"id":5152,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1072\/revisions\/5152"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1072"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1072"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1072"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}