Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length
The paper is devoted to an experimental study of the fluid motion excited by a light spherical body floating along the axis of a rotating vertical cylinder. The experiments are performed with fast rotation. The high-speed video recording examines the behavior of the body depending on the rotation ra...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/8/2/49 |
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| author | Victor Kozlov Ekaterina Zvyagintseva Ekaterina Kudymova Vlada Romanetz |
| author_facet | Victor Kozlov Ekaterina Zvyagintseva Ekaterina Kudymova Vlada Romanetz |
| author_sort | Victor Kozlov |
| collection | DOAJ |
| description | The paper is devoted to an experimental study of the fluid motion excited by a light spherical body floating along the axis of a rotating vertical cylinder. The experiments are performed with fast rotation. The high-speed video recording examines the behavior of the body depending on the rotation rate and liquid viscosity. PIV-method is used to investigate the velocity fields of liquid. In the cavity frame, the body excites the motion liquid in the form of a Taylor–Proudman column, the diameter of which is consistent with the body diameter. In the upper column, the liquid performs a retrograde differential rotation, and in the lower, a prograde one. Outside the columns, the differential rotation is practically absent. It is found that the intensity of the retrograde azimuthal motion in the frontal column increases as the body goes up, while the intensity of the prograde rotation in the rear column decreases. As a result, the free body simultaneously with motion along the axis performs differential rotation: in the lower part of the cavity it is prograde, while in the upper one it is retrograde. The intensity of the body differential rotation varies with the longitudinal coordinate linearly and decreases with the dimensionless rotation velocity. |
| first_indexed | 2024-03-11T08:50:45Z |
| format | Article |
| id | doaj.art-5276b27d79bf4057bbec603a97398a93 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-11T08:50:45Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-5276b27d79bf4057bbec603a97398a932023-11-16T20:28:41ZengMDPI AGFluids2311-55212023-02-01824910.3390/fluids8020049Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite LengthVictor Kozlov0Ekaterina Zvyagintseva1Ekaterina Kudymova2Vlada Romanetz3Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Sibirskaya av. 24, 614990 Perm, RussiaLaboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Sibirskaya av. 24, 614990 Perm, RussiaLaboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Sibirskaya av. 24, 614990 Perm, RussiaLaboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Sibirskaya av. 24, 614990 Perm, RussiaThe paper is devoted to an experimental study of the fluid motion excited by a light spherical body floating along the axis of a rotating vertical cylinder. The experiments are performed with fast rotation. The high-speed video recording examines the behavior of the body depending on the rotation rate and liquid viscosity. PIV-method is used to investigate the velocity fields of liquid. In the cavity frame, the body excites the motion liquid in the form of a Taylor–Proudman column, the diameter of which is consistent with the body diameter. In the upper column, the liquid performs a retrograde differential rotation, and in the lower, a prograde one. Outside the columns, the differential rotation is practically absent. It is found that the intensity of the retrograde azimuthal motion in the frontal column increases as the body goes up, while the intensity of the prograde rotation in the rear column decreases. As a result, the free body simultaneously with motion along the axis performs differential rotation: in the lower part of the cavity it is prograde, while in the upper one it is retrograde. The intensity of the body differential rotation varies with the longitudinal coordinate linearly and decreases with the dimensionless rotation velocity.https://www.mdpi.com/2311-5521/8/2/49rotationspherical bodyTaylor–Proudman columnmotion velocitydifferential rotation |
| spellingShingle | Victor Kozlov Ekaterina Zvyagintseva Ekaterina Kudymova Vlada Romanetz Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length Fluids rotation spherical body Taylor–Proudman column motion velocity differential rotation |
| title | Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length |
| title_full | Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length |
| title_fullStr | Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length |
| title_full_unstemmed | Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length |
| title_short | Motion of a Light Free Sphere and Liquid in a Rotating Vertical Cylinder of Finite Length |
| title_sort | motion of a light free sphere and liquid in a rotating vertical cylinder of finite length |
| topic | rotation spherical body Taylor–Proudman column motion velocity differential rotation |
| url | https://www.mdpi.com/2311-5521/8/2/49 |
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