Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder
Differential equations of relative particle motion along the periphery of a vertical screw have been deduced which rotates about its axis and is limited by a coaxial fixed cylinder. The equations have been solved by applying numerical methods and the trajectories of relative particle helical motion,...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2019-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/311 |
| _version_ | 1797372643547021312 |
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| author | S.F. Pylypaka V.M. Nesvidomin M.B. Klendii I.L. Rogovskii T.A. Kresan V.I. Trokhaniak |
| author_facet | S.F. Pylypaka V.M. Nesvidomin M.B. Klendii I.L. Rogovskii T.A. Kresan V.I. Trokhaniak |
| author_sort | S.F. Pylypaka |
| collection | DOAJ |
| description |
Differential equations of relative particle motion along the periphery of a vertical screw have been deduced which rotates about its axis and is limited by a coaxial fixed cylinder. The equations have been solved by applying numerical methods and the trajectories of relative particle helical motion, that is to say, movement along the edge of a screw, which is common for a screw surface and for a limiting cylinder, have been built. The force of particle friction on the screw surface and on the surface of a cylindrical cover has been taken into consideration. The cases, when a helix angle, that is to say, the angle of screw edge inclination, is less than the angle of particle friction on the surface of a screw, when it is equal to a friction angle and when it is higher than a friction angle, have been considered. In addition, a specific case, when a screw is fixed and a particle moves downwards by gravity, which takes place in spiral chutes, has been analyzed. Kinematic characteristics - time curves have been presented.
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| first_indexed | 2024-03-08T18:38:48Z |
| format | Article |
| id | doaj.art-38ecc773d25d43d1a3d9bfb5c80691f3 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:48Z |
| publishDate | 2019-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-38ecc773d25d43d1a3d9bfb5c80691f32023-12-29T10:20:41ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112019-09-0195310.31489/2019m2/108-119Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinderS.F. PylypakaV.M. NesvidominM.B. KlendiiI.L. RogovskiiT.A. KresanV.I. Trokhaniak Differential equations of relative particle motion along the periphery of a vertical screw have been deduced which rotates about its axis and is limited by a coaxial fixed cylinder. The equations have been solved by applying numerical methods and the trajectories of relative particle helical motion, that is to say, movement along the edge of a screw, which is common for a screw surface and for a limiting cylinder, have been built. The force of particle friction on the screw surface and on the surface of a cylindrical cover has been taken into consideration. The cases, when a helix angle, that is to say, the angle of screw edge inclination, is less than the angle of particle friction on the surface of a screw, when it is equal to a friction angle and when it is higher than a friction angle, have been considered. In addition, a specific case, when a screw is fixed and a particle moves downwards by gravity, which takes place in spiral chutes, has been analyzed. Kinematic characteristics - time curves have been presented. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/311particlevertical screwangular velocity of rotationcylindrical coverdifferential equationskinematic parameters |
| spellingShingle | S.F. Pylypaka V.M. Nesvidomin M.B. Klendii I.L. Rogovskii T.A. Kresan V.I. Trokhaniak Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder Қарағанды университетінің хабаршысы. Математика сериясы particle vertical screw angular velocity of rotation cylindrical cover differential equations kinematic parameters |
| title | Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder |
| title_full | Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder |
| title_fullStr | Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder |
| title_full_unstemmed | Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder |
| title_short | Conveyance of a particle by a vertical screw, which is limited by a coaxial fixed cylinder |
| title_sort | conveyance of a particle by a vertical screw which is limited by a coaxial fixed cylinder |
| topic | particle vertical screw angular velocity of rotation cylindrical cover differential equations kinematic parameters |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/311 |
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