| 水静力学中旋转抛物体问题的进一步分析 |
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| 引用本文： | 叶春生,葛均建,崔世平,侯刚. 水静力学中旋转抛物体问题的进一步分析[J]. 河南科学, 2009, 0(5) |
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| 作者姓名： | 叶春生 葛均建 崔世平 侯刚 |
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| 作者单位： | 郑州大学,水利与环境学院,郑州,450001;郑州大学,水利与环境学院,郑州,450001;郑州大学,水利与环境学院,郑州,450001;郑州大学,水利与环境学院,郑州,450001 |
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| 摘 要： | 通过力学分析,研究了绕中心轴等角速度旋转圆柱体容器内的液体平衡问题,给出了自由液面方程.随后,证明了旋转抛物体的体积为同底同高圆柱体体积的一半.其次,在柱坐标系下,给出了旋转抛物线与圆柱体的轴线和母线,以及原液面围成的两部分投影面积之间的数量关系.
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| 关 键 词： | 等角速度 圆柱体 液体平衡 自由液面 旋转抛物体 柱坐标系 数量关系 |
A Further Discussion on the Problem of Rotating Liquid within a Cylinder |
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| Ye Chunsheng,Ge Junjian,Cui Shiping,Hou Gang. A Further Discussion on the Problem of Rotating Liquid within a Cylinder[J]. Henan Science, 2009, 0(5) |
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| Authors: | Ye Chunsheng Ge Junjian Cui Shiping Hou Gang |
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| Affiliation: | School of Water Conservancy and Environment Engineering;Zhengzhou University;Zhengzhou 450001;China |
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| Abstract: | Through mechanics analysis,the problem of liquid equilibrium within a rotating cylinder at a certain angular velocity is studied,and hence the free surface equation is given.What follows,it gives a proof that the volume of rotating parabolic body is half of a cylinder which has the same bottom and height.Later,under the cylinder coordinate,it gives numerical relation between two areas which are separated by cylinder’s axis,mother line and initial liquid surface. |
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| Keywords: | angular velocity cylinder liquid equilibrium free surface rotating parabolic cylinder coordinate numerical relation |
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