| Sedimentation motion of sand particles in moving water (I): The resistance on a small sphere moving in non-uniform flow |
| Tsai, Shu-Tang
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| 发表期刊 | THEORETICAL AND APPLIED MECHANICS LETTERS
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| 2022-11
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| 卷号 | 12期号:6页码:100392 |
| ISSN | 2095-0349
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| 摘要 | In hydraulics, when we deal with the problem of sand particles moving relative to the surrounding water, Stokes' formula of resistance has usually been used to render the velocity of sedimentation of the particles. But such an approach has not been proved rigorously, and its accuracy must be carefully considered. In this paper, we discuss the problem of a sphere moving in a non-uniform flow field, on the basis of the fundamental theory of hydrodynamics. We introduce two assumptions: i) the diameter of the sphere is much smaller than the linear dimension of the flow field, and ii) the velocity of the sphere relative to the surrounding water is very small. Using these two assumptions, we solve the linearized Navier-Stokes equations and equations of continuity by the method of Laplace transform, and finally we obtain a formula for the resistance acting on a sphere moving in a non-uniform flow field. (c) 2022 The Authors. Published by Elsevier Ltd on behalf of The Chinese Society of Theoretical and Applied Mechanics. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ ) |
| DOI | 10.1016/j.taml.2022.100392
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| 收录类别 | CSCD
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| 语种 | 英语
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| WOS研究方向 | Mechanics
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| 论文分区 | 二类
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| 力学所作者排名 | 1
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| RpAuthor | Tsai, ST (corresponding author), Acad Sinica, Chinese Acad Sci, Inst Mech, Beijing, Peoples R China.
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/93689
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| 专题 | 非线性力学国家重点实验室
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| 作者单位 | Acad Sinica, Chinese Acad Sci, Inst Mech, Beijing, Peoples R China
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推荐引用方式
GB/T 7714 |
Tsai, Shu-Tang. Sedimentation motion of sand particles in moving water (I): The resistance on a small sphere moving in non-uniform flow[J]. THEORETICAL AND APPLIED MECHANICS LETTERS,2022,12,6,:100392.
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| APA |
Tsai, Shu-Tang.(2022).Sedimentation motion of sand particles in moving water (I): The resistance on a small sphere moving in non-uniform flow.THEORETICAL AND APPLIED MECHANICS LETTERS,12(6),100392.
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| MLA |
Tsai, Shu-Tang."Sedimentation motion of sand particles in moving water (I): The resistance on a small sphere moving in non-uniform flow".THEORETICAL AND APPLIED MECHANICS LETTERS 12.6(2022):100392.
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