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Liquid Rise in a Capillary Tube

 

作者: Wesley E. Brittin,  

 

期刊: Journal of Applied Physics  (AIP Available online 1946)
卷期: Volume 17, issue 1  

页码: 37-44

 

ISSN:0021-8979

 

年代: 1946

 

DOI:10.1063/1.1707633

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A theory of the dynamics of capillary rise is developed by making certain assumptions as to the nature of the motion of the liquid in the tube. The most important assumptions are that the same forces act on the liquid when it is in an accelerated state of motion as when it is in a steady state, that the surface tension is constant, that the angle of contact between the meniscus of the liquid and the tube wall is constant, and that the wetting of the tube is not a rate‐determining factor of the motion. This theory leads to a second‐order non‐linear differential equation, the solution of which represents the motion of the liquid in the tube. A formal solution of the differential equation is obtained in the form of a double Dirichlet series. Approximations to the series are compared with experimental data, and it is concluded that the agreement between theory and experiment is satisfactory.

 

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