Jurin's law

Capillary rise or fall in a tube.

Jurin's law describes the rise and fall of a liquid within a thin capillary tube. Named after its discoverer James Jurin.

This law is expressed as:

$\qquad h={\frac {2\gamma \cos \theta }{r\rho g}}$

where

h is the liquid height ;
γ is surface tension ;
θ is the contact angle of the liquid on the tube wall ;
ρ is the liquid density ;
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

Capillary action

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