Capillarity

Capillarity or capillary action is the ability of a narrow tube to draw a liquid upwards against the force of gravity

Capillarity or capillary action is the ability of a narrow tube to draw a liquid upwards against the force of gravity.

capillarity action

The height of liquid in a tube due to capillarity can be expressed as

h = 2 σ cosθ / (ρ g r)         (1)

where

h = height of liquid (ft, m)

σ = surface tension (lb/ft, N/m)

θ = contact angle

ρ = density of liquid (lb/ft3, kg/m3)

g = acceleration due to gravity (32.174 ft/s2, 9.81 m/s2)

r = radius of tube (ft, m)

Surface Tension

Surface tension is typically measured in dynes/cm or N/m.

Liquid Surface Tension
N/m dynes/cm
Ethyl Alcohol 0.0223 22.3
Mercury 0.465 465
Water 20oC 0.0728 72.75
Water 100oC 0.0599

58.9

Capillarity, like surface tension, decreases with increasing temperature. Its temperature variation, however, is small and insignificant in most problems.

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