The standing hydraulic jump: theory, computations and comparisons with experiments
The standing hydraulic jump: theory, computations and comparisons with experiments
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站立液压跳跃：理论、计算以及与实验的比较
DOI：
10.1017/s0022112092002313
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发表时间：
1992
影响因子：
3.7
通讯作者：
F. Smith
中科院分区：
文献类型：
--
作者：
R. Bowles;F. Smith
在这一理论和计算研究的液体层的流动，在表面张力和重力的影响下，最显着的，非线性方程的粘性效应和表面张力，重力和流线曲率的限制大雷诺数的影响之间的相互作用。其目的是使这个理论的预测和Craik等人的实验轴对称水跃之间的比较。例如，在厨房水槽的初始填充的日常环境中通常会遇到这种跳跃，并且在本工作中发现，最初上面列出的所有效应在局部跳跃现象中可以在实践中发挥主要作用。作为第一步，在这里，被认为是一个小障碍物的层的流动。可以看出，随着表面张力变得越来越重要，上游的影响变得更像波浪。第二，计算和分析的非线性自由相互作用，并显示波浪状行为上游，下游的深度剖面不像在典型的水跃。重力的影响主导下游表面张力的影响。最后，与实验进行比较，并显示公平的定量协议，支持目前的命题，这些液压跳跃是由于粘性-无粘性相互作用迫使下游边界条件，在这种情况下，一个充分发展，高弗劳德数液体层的边界层分离。
In this theoretical and computational study of the flow of a liquid layer, under the influence of surface tension and gravity most notably, the nonlinear equations governing an interaction between viscous effects and the effects of surface tension, gravity and streamline curvature for the limit of large Reynolds numbers are derived. The aim is to make a comparison between the predictions of this theory and the experiments of Craik et al. on the axisymmetric hydraulic jump. Such a jump is commonly encountered in the everyday context of the initial filling of a kitchen sink, for example, and it is found in the present work that initially all the effects listed above can play a primary role in practice in the local jump phenomenon. As a first step here, the flow of the layer over a small obstacle is considered. It is seen that as surface tension becomes increasingly significant the upstream influence becomes more wave-like. Second, calculations and analysis of the nonlinear free interaction are presented and show wave-like behaviour upstream, followed downstream by a depth profile not unlike that in the typical hydraulic jump. The effects of gravity dominate those of surface tension downstream. Finally, comparisons are made with the experiments and show fair quantitative agreement, supporting the present proposition that these hydraulic jumps are caused by boundary-layer separation due to a viscous–inviscid interaction forced by downstream boundary conditions on, in this case, a fully developed, high-Froude-number liquid layer.