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Capillary action - height of a liquid column

작성자 Uploader : ezcivil 작성일 Upload Date: 2016-05-14변경일 Update Date: 2016-05-14조회수 View : 462

Capillary action (sometimes capillarity, capillary motion, or wicking) is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

The height H of a liquid column is given by:

H = (4*T*cosθ)/(ρ*g*D)
T : liquid-air surface tension (force/unit length, N/m)
θ: contact angle (Deg)
ρ: density of liquid (mass/volume, kg/m^3)
g : local acceleration due to gravity (length/square of time, m/s^2)
D : diameter of tube (length, m)

Thus the thinner the space in which the water can travel, the further up it goes.

For a water-filled glass tube in air at standard laboratory conditions, T = 0.0728 N/m at 20 ℃, θ= 0°(cos(0) = 1), ρ= 1000 kg/m^3, and g = 9.81 m/s^2. For these values, the height of the water column is

H = (1.48 * 10^(-5)) / r (m)
r : radius of the tube (length, m)

*** 참고문헌[References] ***

https://en.wikipedia.org/wiki/Capillary_action

H = (4*T*cos(θ))/(ρ*g*D)


변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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현재 위치

Capillary action - height of a liquid column

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