| 赵振国,黄春花.无旋流研究[J].水利学报,2015,46(2): |
| 无旋流研究 |
| Study on irrotational flow |
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| DOI： |
| 中文关键词: 变分法 流网 临界流 均速流 |
| 英文关键词: variational method flow net critical flow uniform flow |
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| 中文摘要: |
| 本文将变分法和流网相结合，从理论上证明了无旋流条件下流量达到极大值，并总结出流量达到极大值时，下游流动的两种表现形式：临界流和均速流。文中给出了下游流动分别为临界流和均速流两种情况下的7个实例。在无旋流条件下，应用本文的结果可以进行如下两种情况的计算：（1）利用求极大值来求流量；（2）当流量已知时，如果下游流动为临界流，则可求水深及流速；如下游流动为均速流，则可求流速等。 |
| 英文摘要: |
| Combining variational method and flow net， this paper has proved theoretically that the flow with maximal value may appear under the condition of irrotational flow. It shows that when the rate of flow reaches the maximum the downstream flow will be a critical flow or a uniform flow. Seven instances in both cases of critical flow and uniform flow are given in the paper. With the results of this paper， two kinds of irrotational flow can be calculated：（a） getting the rate of flow by calculating the maximum value， and （b） when the rate of flow is known， the depth and velocity can be obtained if the downstream flow is critical；or the velocity alone can be obtained if the downstream flow is a uniform one. |
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