| 二维平面流动的定解问题研究 |
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| 引用本文： | 李占松,朱士江,范如琴.二维平面流动的定解问题研究[J].河南科学,2006,24(2):260-263. |
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| 作者姓名： | 李占松 朱士江 范如琴 |
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| 作者单位： | 郑州大学,环境与水利学院,郑州,450002 |
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| 基金项目： | 河南省教育厅基础研究项目 |
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| 摘 要： | 从定常二维平面流动的流函数涡量型N-S方程出发,从理论上推导出一种不同于通常提法的二维平面流动的定解提法.为解决此类流动的多解性问题奠定了理论基础.同时,讨论了明渠突扩流动和圆管突扩流动中存在的不止一个对称解问题,并就此问题未被重视的原因进行了初步分析.
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| 关 键 词： | N-S方程 二维平面流动 对称解 |
| 文章编号： | 1004-3918(2006)02-0260-04 |
| 收稿时间： | 2005-10-13 |
| 修稿时间： | 2005年10月13 |
Formulation of Definite Solution Problems for Two Dimensional Plane Flow |
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| LI Zhan-song,ZHU Shi-jiang,FAN Ru-qin.Formulation of Definite Solution Problems for Two Dimensional Plane Flow[J].Henan Science,2006,24(2):260-263. |
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| Authors: | LI Zhan-song ZHU Shi-jiang FAN Ru-qin |
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| Institution: | School of Environment and Water Conservancy, Zhengzhou University, Zhengzhou 450002, China |
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| Abstract: | According to the definition of stream function and vorticity, this article theoretically derives a formulation of definite solution problems for resolving two dimensional flow,which is different from the usual formulation, from the stream function-vorticity N-S equation. And then, it is discussed that there are not only one symmetric solutions in the sudden-expansion flows of open channel and round pipe. Besides, this article initially analyses the reasons why this problem has not been valued. |
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| Keywords: | N-S equation two dimensional plane flow symmetric solution |
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