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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。
Under the condition of instantaneous total crust collapse in prismatic channel, there is some intrinsic relationship between the hydraulic quantities before and after the dam break. Similar to a class of problems with similarity solutions in the laminar boundary layer of the fluid mechanics, the solution of any shape of the burst fracture with dam has similar characteristics. In a class of flows with similar solutions in the laminar boundary layer, the partial differential equations can be transformed into ordinary differential equations, and the dam break can be solved mathematically to reduce the number of unknowns. For this reason, the author defines the parameters of the cross-section morphology, proposes the method of separating the morphological parameters, defines the number of dam breaches and establishes a new pure mathematical model. This article is an important note by the author after his paper was published in the American Society of Civil Engineers Hydraulics in August 1993 (see Document 7). The article also provides some calculated results and general solution curves.