| Analytical solutions of turbulent boundary layer beneath forward-leaning waves | |
Xie YQ(谢益芹)1,2; Zhou JF(周济福)1,3 ; Wang X(王旭)1; Duan JL(段金龙)1; Lu, Yongjun4; Li, Shouqian4
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| Corresponding Author | Zhou, Jifu([email protected]) |
| Source Publication | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
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| 2024-04-01 | |
| Volume | 45Issue:4Pages:695-710 |
| ISSN | 0253-4827 |
| Abstract | 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. |
| Keyword | forward-leaning wave turbulent boundary layer velocity profile bottom shear stress O353.2 |
| DOI | 10.1007/s10483-024-3099-8 |
| Indexed By | SCI ; EI ; CSCD |
| Language | 英语 |
| WOS ID | WOS:001197169400003 |
| WOS Keyword | SHEAR-STRESS ; FLOW ; ACCELERATION ; SIMULATION |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| Funding Project | 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] |
| Funding Organization | National Key R&D Program of China ; National Natural Science Foundation of China |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Zhou, Jifu |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/94888 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; 2.China Inst Water Resources & Hydropower Res, State Key Lab Simulat & Regulat Water Cycle River, Beijing 100038, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 4.Nanjing Hydraul Res Inst, State Key Lab Hydrol Water Resources & Hydraul Eng, Nanjing 210024, Peoples R China |
| Recommended Citation 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.Rp_Au:Zhou, Jifu |
| 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. |
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