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Related Concept Videos

Rise of Liquid in a Capillary Tube01:18

Rise of Liquid in a Capillary Tube

When very thin cylindrical tubes, called capillaries, are dipped in a liquid, the liquid rises or falls in the tube compared to the surrounding liquid. This phenomenon is called capillary action. Capillary action occurs due to the combination of two opposing forces: the cohesive forces of the liquid, which cause it to stick to itself and form a rounded shape, and the adhesive forces between the liquid and the walls of the container, which cause the liquid to be attracted to the container walls.
Capillarity in Fluid01:19

Capillarity in Fluid

Capillarity describes the movement of liquid in small spaces without external forces acting on it. The capillarity is driven by surface tension and adhesive interactions between the liquid and surrounding solid surfaces. This effect is often seen in narrow tubes, porous materials, and fine particles.
Surface tension is crucial to capillarity. It results from cohesive forces between liquid molecules at the liquid-air boundary, forming a skin that resists external forces. When the capillary tube...
Surface Tension, Capillary Action, and Viscosity02:57

Surface Tension, Capillary Action, and Viscosity

Surface Tension
The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
Adhesion01:14

Adhesion

Adhesion occurs when one type of molecule is attracted to a different molecule. Water exhibits adhesive properties in the presence of polar surfaces, such as glass or cellulose in plants. For instance, when water is poured into a glass, the positively charged hydrogen molecules of water are more attracted to the negatively charged oxygen molecules in the silica than to the oxygen in neighboring water molecules.
Capillary action is a result of water’s adhesive tendencies. When a narrow glass...
Capillary Beds01:20

Capillary Beds

Capillary beds are networks of tiny blood vessels that play a crucial role in the circulatory system. These beds are where the exchange of gases, nutrients, and waste products occurs between the blood and surrounding tissues. Each capillary bed consists of numerous capillaries, which are the smallest blood vessels in the body, typically only one cell-thick. This thinness allows for the efficient diffusion of substances.
Capillaries connect arterioles, small branches of arteries, to venules,...
Tangent Planes to Surfaces01:19

Tangent Planes to Surfaces

In multivariable calculus, the concept of a tangent plane plays a central role in approximating curved surfaces. When dealing with a surface defined by a function of two variables, such as z = f(x, y), the tangent plane at a given point provides the best linear approximation to the surface near that point. This local linearization allows complex, nonlinear geometries to be treated using simpler, planar models.The construction of the tangent plane involves taking vertical slices of the surface...

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Updated: Jun 25, 2026

Fabrication and Visualization of Capillary Bridges in Slit Pore Geometry
11:20

Fabrication and Visualization of Capillary Bridges in Slit Pore Geometry

Published on: January 9, 2014

Capillary rise between planar surfaces.

Jeffrey W Bullard1, Edward J Garboczi

  • 1Materials and Construction Research Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8615, USA. jeffrey.bullard@nist.gov

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

Free energy minimization accurately predicts liquid column rise and meniscus shape between parallel surfaces. A generalized Laplace-Young equation precisely models mean elevation, with a new equation fitting midpoint elevation for symmetric systems.

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Area of Science:

  • Colloid and Surface Science
  • Fluid Dynamics
  • Physics

Background:

  • Capillary action is crucial in microfluidics and material science.
  • Understanding liquid behavior in confined spaces requires accurate meniscus modeling.
  • Existing models for capillary rise have limitations in predicting meniscus shape and elevation.

Purpose of the Study:

  • To calculate the equilibrium vertical rise and meniscus shape of a liquid column between two parallel surfaces.
  • To validate the applicability of the Young-Dupré equation for thermodynamic contact angle.
  • To develop and refine equations for predicting capillary rise, considering various surface properties and wall separations.

Main Methods:

  • Minimization of free energy to determine equilibrium states.
  • Application of standard variational principles to derive Euler-Lagrange equations.
  • Integration of differential equations and fitting of new equations to numerical predictions.

Main Results:

  • The Young-Dupré equation is valid at the three-phase junction.
  • A generalized Laplace-Young equation accurately predicts mean meniscus elevation.
  • A novel equation provides excellent agreement for midpoint elevation in symmetric systems.
  • Asymmetric meniscus shapes and significant capillary rise occur with dissimilar surfaces.

Conclusions:

  • Free energy minimization provides a robust framework for analyzing capillary phenomena.
  • The generalized Laplace-Young equation offers improved accuracy for meniscus elevation prediction.
  • New models are essential for accurately predicting capillary rise in systems with varied surface properties and geometries.
  • The study advances the understanding of liquid behavior in confined spaces, with implications for microfluidics and material wetting.