Jurin's law

Capillary rise or fall in a tube.

Jurin's law, or capillary rise, is the simplest analysis of capillary action—the induced motion of liquids in small channels[1]—and states that the maximum height of a liquid in a capillary tube is inversely proportional to the tube's diameter. Capillary action is one of the most common fluid mechanical effects explored in the field of microfluidics. Jurin's law is named after James Jurin, who discovered it between 1718 and 1719.[2] His quantitative law suggests that the maximum height of liquid in a capillary tube is inversely proportional to the tube's diameter. The difference in height between the surroundings of the tube and the inside, as well as the shape of the meniscus, are caused by capillary action. The mathematical expression of this law can be derived directly from hydrostatic principles and the Young–Laplace equation. Jurin's law allows the measurement of the surface tension of a liquid and can be used to derive the capillary length.[3]

  1. ^ Rapp, E., Bastian (13 December 2016). Microfluidics : modeling, mechanics and mathematics. Kidlington, Oxford, United Kingdom. ISBN 9781455731510. OCLC 966685733.{{cite book}}: CS1 maint: location missing publisher (link) CS1 maint: multiple names: authors list (link)
  2. ^ See:
  3. ^ Quéré, David; Brochard-Wyart, Françoise; Gennes, Pierre-Gilles de (2004), "Capillarity and Gravity", Capillarity and Wetting Phenomena, Springer, New York, NY, pp. 33–67, doi:10.1007/978-0-387-21656-0_2, ISBN 9781441918338