Jurin's law
Capillary rise or fall in a tube.
Jurin's law, named after James Jurin who discovered it in 1718,[1] describes the rise and fall of a liquid within a thin capillary tube. The mathematical expression can be derived directly from Young–Laplace equation.
This law is expressed as:
,
where
- h is the liquid height ;
- γ is the surface tension ;
- θ is the contact angle of the liquid on the tube wall ;
- ρ is the liquid density (mass per unit volume) ;
- r is the tube radius ;
- g is the gravitational acceleration.
This law is valid if the tube radius is smaller than the capillary length.
See also
References
- ↑ See:
- James Jurin (1718) "An account of some experiments shown before the Royal Society; with an enquiry into the cause of some of the ascent and suspension of water in capillary tubes," Philosophical Transactions of the Royal Society of London, 30 : 739–747.
- James Jurin (1719) "An account of some new experiments, relating to the action of glass tubes upon water and quicksilver," Philosophical Transactions of the Royal Society of London, 30 : 1083–1096.
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