部分植被化复式河道水流的二维解析解  

Two Dimensional Analytical Solution for a Partially Vegetated Compound Channal Flow

作　　者：槐文信[1] 徐治钢[1] 杨中华[1] 曾玉红[1] 

机构地区：[1]水资源与水电工程科学国家重点实验室,武汉大学,武汉430072

出　　处：《应用数学和力学》2008年第8期976-982,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50679061；50709025；50749031)

摘　　要：运用涡粘模型理论对部分植被化复式河道的水流水深平均流速和边壁切应力分布进行了求解.通过对水流微元体进行纵向受力分析建立相应的控制微分方程,其中植被对水流的影响归结为拖曳力项.同时将复式渠道划分为3个子区域,通过联立求解各区域微分方程中的定解系数,最终得到均匀流的条件下各区水深平均流速的横向分布的解析解.在获得水深平均流速的横向分布后,可进一步给出对泥沙输移有重要影响的河床切应力的横向分布.通过与试验测得的资料比较,表明给出的解析解能够为工程设计提供足够精度的水力特性的预报.The theory of eddy viscosity model is applied to the study of the flow in compound channel which was partially vegetated. The governing equation was constituted by analyzing the longitudinal forces acted on the unit volume where the effect of the vegetation to the flow is considered as the drag force item. The compound channel was divided into 3 sub-regions in transverse direction, and the coefficients in every region＇s differential equations were solved simultaneously. Thus the analytical solution of the transverse distribution of the depth-averaged velocity for uniform flow in partially vegetated compound channel is got. The results can also be used to predict the transverse distribution of the bed shear stress which has an important effect on the transportation of sediment. By comparing the analytical results with the measured data, the analytical solution was proved to be sufficiently accurate to predict most hydraulic features for engineering design purpose.

关 键 词：复式河道 水深平均流速 拖曳力 涡粘模型 解析解 植被 

分 类 号：TV133[水利工程—水力学及河流动力学]