物理实验

器壁旋转模式下液体平衡状态的分析

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  • 长江大学 石油工程学院,湖北 武汉 430100
雷奕( 1997—) ,男,江西九江人,长江大学石油工程学院 2019 级研究生.

收稿日期: 2020-04-15

  修回日期: 2020-09-04

  网络出版日期: 2021-04-21

基金资助

长江大学大学生创新创业训练计划项目( 编号: 2017096) 资助.

Analysis of liquid equilibrium state under the rotating mode

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  • Institute of Petroleum Engineering ,Yangtze University,Wuhan,Hubei 430100,China

Received date: 2020-04-15

  Revised date: 2020-09-04

  Online published: 2021-04-21

摘要

基于器壁带动液体旋转稳定后形成的抛物面,推导出器壁斜率为 K( K≠0) 时的恒等式. 得出 K→∞

时,随着转速增加,液位的变化是无限的,液位的上升高度与下降深度恒相等,旋转抛物体与同底同高圆柱体积关系为定值; 当 K>0

时,容器为上大下小的圆筒,旋转抛物面导致的液位变化是有限的,存在的极限值为槡3 +1,当液体旋转角速度超过临界角速度时,旋转

液面分为中部的抛物面和边缘增长的水膜两部分.

本文引用格式

雷 奕, 石立红, 张俊成, 潘建澎 . 器壁旋转模式下液体平衡状态的分析[J]. 大学物理, 2021 , 40(4) : 19 -21 . DOI: 10. 16854 / j. cnki. 1000-0712. 200143

Abstract

This paper studies equilibrium liquid level formed by the rotation of liquid on the

wall,the equation is deduced when the slop of the wall is K ( K≠0) . When K→∞ ,the change of liquid

level is infinite with the in- crease of rotating speed,but the rise height of liquid level is

equal to the fall depth of liquid level,and the volume relationship is a constant. when K>0,the

container is a round table with large top and small bottom. The liquid level

change caused by rotating paraboloid is limited,and the limit value is槡3 +1,when the liquid

rotation angular veloci- ty exceeds the critical angular velocity,the rotating liquid surface

is divided into two parts: the paraboloid in the middle and the water film with growing edge.

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