College Physics ›› 2021, Vol. 40 ›› Issue (4): 19-21.doi: 10. 16854 / j. cnki. 1000-0712. 200143

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Analysis of liquid equilibrium state under the rotating mode

LEI Yi,SHI Li-hong,ZHANG Jun-cheng,PAN Jian-peng   

  1. Institute of Petroleum Engineering ,Yangtze University,Wuhan,Hubei 430100,China
  • Received:2020-04-15 Revised:2020-09-04 Online:2021-04-13 Published:2021-04-21

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.

Key words: fluid mechanics, wall rotation, equilibrium liquid level, identity, critical value