溃坝水力特性的一个新数学模型及其通解  

A New Mathematical Model and General Solution for Dam-break Characteristics

作　　者：伍超[1] 郑永红[1] 赵文谦[1] 

机构地区：[1]成都科技大学,成都610065

出　　处：《水动力学研究与进展（A辑）》1995年第1期35-41,共7页Chinese Journal of Hydrodynamics

基　　金：国家教委优秀年轻教师基金

摘　　要：在棱柱型河槽瞬时全溃条件下,溃坝决口前后的水力学量具有某种内在联系。类似于流体力学层流边界层中有相似性解的一类问题,对任意形状决口溃坝问题,其解也具有相似特征。在层流边界层有相似性解的一类流动中,求解的偏微分方程可化为常微分方程,而对溃坝的求解,则可以通过数学方法,减少未知量的数目。 为此作者定义了断面形态组合参数,提出了形态参数的分离方法,定义了溃坝特征数,建立了一个新的纯数学模型。 本文是作者1993年8月在美国土木工程师学会水力学分册发表论文(见文献7)之后的重要进展。文中还提供了部份计算成果和通解曲线。There has some inner link between hydraulic parameters before and after sudden complete dam-break on the prismatic channel. Similar to the problem of similarity solution of boundary layer, the solution of dam-break with arbitrary cross section has the feature of similarity. For the fluid motion of boundary layer which has similarity solution, the partial equations, while for the motion of dam-break wave, the unknown variables can be reduced by using mathematical methods.For this purpose, the authors define the combinative cross-sectional shape-parameters and the dam-break characteristic parameter, propose the separating method of shape-parameters and establish a new pure mathematical model.This paper makes great advancement in the model proposed in Journal of Hydraulic Division, ASCE. , Aug. , 1993, and presents part computational results and general solution curves.

关 键 词：溃坝 数学模型 水力学 洪水波 

分 类 号：TV122.4[水利工程—水文学及水资源]