Analytical solutions of turbulent boundary layer beneath forward-leaning waves
文献类型:期刊论文
作者 | Xie YQ(谢益芹)3,4; Zhou JF(周济福)2,4![]() |
刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
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出版日期 | 2024-04-01 |
卷号 | 45期号:4页码:695-710 |
关键词 | forward-leaning wave turbulent boundary layer velocity profile bottom shear stress O353.2 |
ISSN号 | 0253-4827 |
DOI | 10.1007/s10483-024-3099-8 |
通讯作者 | Zhou, Jifu(zhoujf@imech.ac.cn) |
英文摘要 | As a typical nonlinear wave, forward-leaning waves can be frequently encountered in the near-shore areas, which can impact coastal sediment transport significantly. Hence, it is of significance to describe the characteristics of the boundary layer beneath forward-leaning waves accurately, especially for the turbulent boundary layer. In this work, the linearized turbulent boundary layer model with a linear turbulent viscosity coefficient is applied, and the novel expression of the near-bed orbital velocity that has been worked out by the authors for forward-leaning waves of arbitrary forward-leaning degrees is further used to specify the free stream boundary condition of the bottom boundary layer. Then, a variable transformation is found so as to make the equation of the turbulent boundary layer model be solved analytically through a modified Bessel function. Consequently, an explicit analytical solution of the turbulent boundary layer beneath forward-leaning waves is derived by means of variable separation and variable transformation. The analytical solutions of the velocity profile and bottom shear stress of the turbulent boundary layer beneath forward-leaning waves are verified by comparing the present analytical results with typical experimental data available in the previous literature. |
分类号 | 一类 |
WOS关键词 | SHEAR-STRESS ; FLOW ; ACCELERATION ; SIMULATION |
资助项目 | National Key R&D Program of China[2022YFC3204303] ; National Natural Science Foundation of China[12202503] ; National Natural Science Foundation of China[12132018] ; National Natural Science Foundation of China[52394254] |
WOS研究方向 | Mathematics ; Mechanics |
语种 | 英语 |
WOS记录号 | WOS:001197169400003 |
资助机构 | National Key R&D Program of China ; National Natural Science Foundation of China |
其他责任者 | Zhou, Jifu |
源URL | [http://dspace.imech.ac.cn/handle/311007/94887] ![]() |
专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
作者单位 | 1.Nanjing Hydraul Res Inst, State Key Lab Hydrol Water Resources & Hydraul Eng, Nanjing 210024, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.China Inst Water Resources & Hydropower Res, State Key Lab Simulat & Regulat Water Cycle River, Beijing 100038, Peoples R China; 4.Chinese Acad Sci, Inst Mech, Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; |
推荐引用方式 GB/T 7714 | Xie YQ,Zhou JF,Wang X,et al. Analytical solutions of turbulent boundary layer beneath forward-leaning waves[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2024,45(4):695-710. |
APA | 谢益芹,周济福,王旭,段金龙,Lu, Yongjun,&Li, Shouqian.(2024).Analytical solutions of turbulent boundary layer beneath forward-leaning waves.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,45(4),695-710. |
MLA | 谢益芹,et al."Analytical solutions of turbulent boundary layer beneath forward-leaning waves".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 45.4(2024):695-710. |
入库方式: OAI收割
来源:力学研究所
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