= Jurin's law
{c}
{title2=$h=2\gamma\cos\theta/(\rho gr)$}
For a circular capillary of inner radius $r$, balance the vertical force $2\pi r\gamma\cos\theta$ against the hydrostatic column weight $\rho g\pi r^2h$. The displayed signed height follows, neglecting meniscus-volume corrections. A wetting liquid with $\theta<\pi/2$ rises, whereas a nonwetting liquid with $\theta>\pi/2$ is depressed. The <contact angle> is measured through the liquid. The expression uses radius rather than diameter and presumes equilibrium at the specified wall chemistry.
Back to article page
