Flow of a Viscous Incompressible Fluid from a Moving Point Source
The flow of a viscous incompressible fluid outflowing from a uniformly moving point source is considered. An exact solution to the problem is found in the way that the velocity decreases inversely with the radial coordinate. It is shown that a spherical volume of fluid is carried away by the source,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/10/2156 |
| _version_ | 1797469854320558080 |
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| author | Sergey V. Ershkov Evgeniy Yu. Prosviryakov Dmytro D. Leshchenko |
| author_facet | Sergey V. Ershkov Evgeniy Yu. Prosviryakov Dmytro D. Leshchenko |
| author_sort | Sergey V. Ershkov |
| collection | DOAJ |
| description | The flow of a viscous incompressible fluid outflowing from a uniformly moving point source is considered. An exact solution to the problem is found in the way that the velocity decreases inversely with the radial coordinate. It is shown that a spherical volume of fluid is carried away by the source, the radius of which is inversely proportional with respect to the velocity of motion. In this case, a cylindrical discontinuity arises in the region of forming a wake behind the body, the dimensions of which are determined by the magnitude of the external pressure and do not depend on the velocity of the source. The obtained solutions are governed by hydrodynamical fields of flows which can be recognized as special invariants at symmetry reduction. |
| first_indexed | 2024-03-09T19:25:56Z |
| format | Article |
| id | doaj.art-8b272aa20a054c599c1f1c7ffd07c628 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T19:25:56Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-8b272aa20a054c599c1f1c7ffd07c6282023-11-24T02:53:22ZengMDPI AGSymmetry2073-89942022-10-011410215610.3390/sym14102156Flow of a Viscous Incompressible Fluid from a Moving Point SourceSergey V. Ershkov0Evgeniy Yu. Prosviryakov1Dmytro D. Leshchenko2Department of Scientific Researches, Plekhanov Russian University of Economics, 36 Stremyanny Lane, 117997 Moscow, RussiaAcademic Department of Information Technologies and Control Systems, Ural Federal University, 19 Mira st., 620049 Ekaterinburg, RussiaDepartment of Theoretical Mechanics, Odessa State Academy of Civil Engineering and Architecture, 4 Didrikhson st., 65029 Odessa, UkraineThe flow of a viscous incompressible fluid outflowing from a uniformly moving point source is considered. An exact solution to the problem is found in the way that the velocity decreases inversely with the radial coordinate. It is shown that a spherical volume of fluid is carried away by the source, the radius of which is inversely proportional with respect to the velocity of motion. In this case, a cylindrical discontinuity arises in the region of forming a wake behind the body, the dimensions of which are determined by the magnitude of the external pressure and do not depend on the velocity of the source. The obtained solutions are governed by hydrodynamical fields of flows which can be recognized as special invariants at symmetry reduction.https://www.mdpi.com/2073-8994/14/10/2156symmetry reductionexact solutionpotential flowLaplacian eigenfunctions |
| spellingShingle | Sergey V. Ershkov Evgeniy Yu. Prosviryakov Dmytro D. Leshchenko Flow of a Viscous Incompressible Fluid from a Moving Point Source Symmetry symmetry reduction exact solution potential flow Laplacian eigenfunctions |
| title | Flow of a Viscous Incompressible Fluid from a Moving Point Source |
| title_full | Flow of a Viscous Incompressible Fluid from a Moving Point Source |
| title_fullStr | Flow of a Viscous Incompressible Fluid from a Moving Point Source |
| title_full_unstemmed | Flow of a Viscous Incompressible Fluid from a Moving Point Source |
| title_short | Flow of a Viscous Incompressible Fluid from a Moving Point Source |
| title_sort | flow of a viscous incompressible fluid from a moving point source |
| topic | symmetry reduction exact solution potential flow Laplacian eigenfunctions |
| url | https://www.mdpi.com/2073-8994/14/10/2156 |
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