水利学报2023，Vol.54Issue(12)：1473-1484,12.DOI:10.13243/j.cnki.slxb.20230200
基于涡黏度模型的冰封河道纵向时均流速垂向分布解析解
Analytical solution for the vertical distribution of the longitudinal time-averaged velocity in ice-covered channel based on the eddy viscosity model
摘要
Abstract
The existence of ice cover significantly changes the flow structure of the river,wherein the vertical distribu-tion of the streamwise velocity is parabola with respect to the zero shear stress plane.Given that accurately predicting the velocity distribution is the basis of calculating the flow discharge,the sediment transport rate,and the bed evolution for ice-covered channels,an analytical solution for the vertical distribution of the longitudinal time-averaged velocity in ice-covered channels,which has a clear physical meaning and continuous velocity gradient,was derived by applying the two-layer hypothesis and the eddy viscosity model.Meanwhile,the application conditions of the frequently used log-law velocity formula and two-power law velocity formula were clarified.By using available experimental data and field data reported in the literature,the validity and accuracy of the analytical formula presented here were then compared with that of the existing log-law velocity formula and two-power law velocity formula.Based on the validated analytical for-mula,the sensitivity of the vertical distribution of the longitudinal time-averaged velocity to the physical characteristic parameters was also explored.The results show that the calculated values of the streamwise velocity by the presented an-alytical formula are in good agreement with the measured data and have higher accuracy than that of the log-law formula and the two-power law formula.Sensitivity analysis displays that the Reynolds number has little influence on the vertical distribution of the longitudinal time-averaged velocity,whereas the vertical distribution of the velocity is sensitive to the relative value of the ice cover roughness and the channel bed roughness.The maximum value of the longitudinal time-averaged velocity tends to the smooth boundary.These results are consistent with previous numerical results obtained by the k-e turbulence model,which again confirms the validity of the presented analytical solution.关键词
冰封河道/纵向时均流速/垂向分布/涡黏度Key words
ice-covered channel/longitudinal time-averaged velocity/vertical distribution/eddy viscosity分类
建筑与水利引用本文复制引用
王菲菲,槐文信,陈海亮,孙斌,李志伟..基于涡黏度模型的冰封河道纵向时均流速垂向分布解析解[J].水利学报,2023,54(12):1473-1484,12.基金项目
中国博士后科学基金项目(2022M712904,2022M722881) （2022M712904,2022M722881）
河南省重点研发与推广专项(科技攻关)项目(232102321099) （科技攻关）
黄河实验室(郑州大学)一流课题项目(YRL22YL03,YRL22IR11) （郑州大学）
