Analytical solutions of turbulent boundary layer beneath forward-leaning waves  

作　　者：Yiqin XIE Jifu ZHOU Xu WANG Jinlong DUAN Yongjun LU Shouqian LI 

机构地区：[1]Laboratory for Mechanics in Fluid Solid Coupling Systems,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China [2]State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin,China Institute of Water Resources and Hydropower Research,Beijing 100038,China [3]School of Engineering Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [4]State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,Nanjing Hydraulic Research Institute,Nanjing 210024,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第4期695-710,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Key R&D Program of China(No.2022YFC3204303);the National Natural Science Foundation of China(Nos.12202503,12132018,and 52394254)。

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.

关 键 词：forward-leaning wave turbulent boundary layer velocity profile bottom shear stress 

分 类 号：P731.22[天文地球—海洋科学]