| Sedimentation motion of sand particles in moving water (I): The resistance on a small sphere moving in non-uniform flow | |
| Tsai, Shu-Tang | |
| Source Publication | THEORETICAL AND APPLIED MECHANICS LETTERS
 |
| 2022-11 | |
| Volume | 12Issue:6Pages:100392 |
| ISSN | 2095-0349 |
| Abstract | 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 |
| Indexed By | CSCD |
| Language | 英语 |
| WOS Research Area | Mechanics |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Tsai, ST (corresponding author), Acad Sinica, Chinese Acad Sci, Inst Mech, Beijing, Peoples R China. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/93689 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | Acad Sinica, Chinese Acad Sci, Inst Mech, Beijing, Peoples R China |
| Recommended Citation 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.Rp_Au:Tsai, ST (corresponding author), Acad Sinica, Chinese Acad Sci, Inst Mech, Beijing, Peoples R China. |
| 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. |
| 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| TAML006.pdf（333KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment