Experiments on the Drag and Lift Coefficients of a Spinning Sphere
The drag and lift coefficients are important parameters that affect the particle motion in a viscous fluid. In the present study, the drag and lift coefficients of a spinning sphere in a water tank were studied experimentally using a high-speed camera. To this end, 22 cases were studied to cover a w...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
|
| Series: | Water |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4441/14/17/2593 |
| _version_ | 1797492699557789696 |
|---|---|
| author | Shuang Zhou Genguang Zhang Xiaoyang Xu |
| author_facet | Shuang Zhou Genguang Zhang Xiaoyang Xu |
| author_sort | Shuang Zhou |
| collection | DOAJ |
| description | The drag and lift coefficients are important parameters that affect the particle motion in a viscous fluid. In the present study, the drag and lift coefficients of a spinning sphere in a water tank were studied experimentally using a high-speed camera. To this end, 22 cases were studied to cover a wide range of dimensionless angular speeds (0.149 < <i>Rr</i> < 3.471) and Reynolds numbers (610 < <i>Re</i> < 3472). Based on the present experimental data and the results obtained from the literature, expressions were developed to calculate the lift and drag coefficients. The performed analyses on lift coefficient show that there is a critical Reynolds number (<i>Re<sub>c</sub></i>) at each dimensionless angular speed. When 0 < <i>Re</i> < <i>Re<sub>c</sub></i>, the lift coefficient decreases with increasing the Reynolds number, while it is constant when <i>Re<sub>c</sub></i> < <i>Re</i><i><</i> 3500. The constant lift coefficient corresponding to different spin speeds was defined as the limit value of the lift coefficient. It is found that when 1 < <i>Rr</i> < 12, the limit value of the lift coefficient is 0.37, while the limit value of the lift coefficient increases with increasing dimensionless angular speed at 0 < <i>Rr</i> < 1. It is found that the spin increases the drag coefficient of a spinning sphere only when 0 < <i>Rr</i> < 10. Moreover, the performed analyses show that the drag coefficient of a spinning sphere is less than that of a non-spinning sphere when 10 < <i>Rr</i> < 25. Furthermore, the lift-to-drag ratio of a spinning sphere is discussed in this article. |
| first_indexed | 2024-03-10T01:06:29Z |
| format | Article |
| id | doaj.art-733962dc2fb04012974f16897e309f54 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-10T01:06:29Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-733962dc2fb04012974f16897e309f542023-11-23T14:24:51ZengMDPI AGWater2073-44412022-08-011417259310.3390/w14172593Experiments on the Drag and Lift Coefficients of a Spinning SphereShuang Zhou0Genguang Zhang1Xiaoyang Xu2School of Civil and Transportation Engineering, Qinghai Minzu University, Xining 810000, ChinaCollege of Water Resources and Architectural Engineering, Northwest A&F University, Xianyang 712000, ChinaCollege of Water Resources and Architectural Engineering, Northwest A&F University, Xianyang 712000, ChinaThe drag and lift coefficients are important parameters that affect the particle motion in a viscous fluid. In the present study, the drag and lift coefficients of a spinning sphere in a water tank were studied experimentally using a high-speed camera. To this end, 22 cases were studied to cover a wide range of dimensionless angular speeds (0.149 < <i>Rr</i> < 3.471) and Reynolds numbers (610 < <i>Re</i> < 3472). Based on the present experimental data and the results obtained from the literature, expressions were developed to calculate the lift and drag coefficients. The performed analyses on lift coefficient show that there is a critical Reynolds number (<i>Re<sub>c</sub></i>) at each dimensionless angular speed. When 0 < <i>Re</i> < <i>Re<sub>c</sub></i>, the lift coefficient decreases with increasing the Reynolds number, while it is constant when <i>Re<sub>c</sub></i> < <i>Re</i><i><</i> 3500. The constant lift coefficient corresponding to different spin speeds was defined as the limit value of the lift coefficient. It is found that when 1 < <i>Rr</i> < 12, the limit value of the lift coefficient is 0.37, while the limit value of the lift coefficient increases with increasing dimensionless angular speed at 0 < <i>Rr</i> < 1. It is found that the spin increases the drag coefficient of a spinning sphere only when 0 < <i>Rr</i> < 10. Moreover, the performed analyses show that the drag coefficient of a spinning sphere is less than that of a non-spinning sphere when 10 < <i>Rr</i> < 25. Furthermore, the lift-to-drag ratio of a spinning sphere is discussed in this article.https://www.mdpi.com/2073-4441/14/17/2593spinning spherelift coefficientdrag coefficientReynolds numberangular speed |
| spellingShingle | Shuang Zhou Genguang Zhang Xiaoyang Xu Experiments on the Drag and Lift Coefficients of a Spinning Sphere Water spinning sphere lift coefficient drag coefficient Reynolds number angular speed |
| title | Experiments on the Drag and Lift Coefficients of a Spinning Sphere |
| title_full | Experiments on the Drag and Lift Coefficients of a Spinning Sphere |
| title_fullStr | Experiments on the Drag and Lift Coefficients of a Spinning Sphere |
| title_full_unstemmed | Experiments on the Drag and Lift Coefficients of a Spinning Sphere |
| title_short | Experiments on the Drag and Lift Coefficients of a Spinning Sphere |
| title_sort | experiments on the drag and lift coefficients of a spinning sphere |
| topic | spinning sphere lift coefficient drag coefficient Reynolds number angular speed |
| url | https://www.mdpi.com/2073-4441/14/17/2593 |
| work_keys_str_mv | AT shuangzhou experimentsonthedragandliftcoefficientsofaspinningsphere AT genguangzhang experimentsonthedragandliftcoefficientsofaspinningsphere AT xiaoyangxu experimentsonthedragandliftcoefficientsofaspinningsphere |