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Related Concept Videos

Contact Angle01:13

Contact Angle

When a solid is dipped inside a liquid, the liquid surface becomes curved near the contact. For some solid–liquid interfaces, the liquid is pulled up along the solid, while for others, the liquid surface is convex or depressed near the solid surface. This phenomenon can be explained using the concept of cohesive and adhesive forces.
The adhesive force is the molecular force between molecules of different materials, that is, between the molecules of the solid and the liquid. The cohesive force...
Hydrostatic Pressure Force on a Curved Surface01:04

Hydrostatic Pressure Force on a Curved Surface

Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member is the...
Surface Tension of Fluid01:22

Surface Tension of Fluid

Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies with...

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Drop shape visualization and contact angle measurement on curved surfaces.

Manfredo Guilizzoni1

  • 1Department of Energy, Politecnico di Milano, Via Lambruschini 4, 20156 Milan, Italy. Manfredo.Guilizzoni@polimi.it

Journal of Colloid and Interface Science
|September 6, 2011
PubMed
Summary

This study presents a new method for measuring contact angles of liquid drops on curved surfaces. The technique uses image processing and numerical methods, offering a simpler approach for complex geometries.

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Area of Science:

  • Materials Science
  • Surface Chemistry
  • Physics

Background:

  • Contact angle measurement is crucial for understanding surface properties and liquid behavior.
  • Traditional methods often struggle with non-flat, three-dimensional surfaces.
  • Accurate characterization of liquid-solid interactions on curved substrates is challenging.

Purpose of the Study:

  • To experimentally investigate the shape and contact angles of drops on curved surfaces.
  • To develop a simple, accessible procedure for determining equilibrium contact angles on 3D surfaces.
  • To validate the proposed method using water drops on gemstones.

Main Methods:

  • Utilizing image processing and spline fitting to extract drop contours from cross-sections.
  • Employing numerical integration to analyze drop shape and interface geometry.
  • Developing a side-view measurement technique applicable to curved surfaces.

Main Results:

  • Successful visualization of three-dimensional surface-air and drop-air interfaces.
  • A proposed simple procedure for determining equilibrium contact angles on curved surfaces.
  • Demonstrated utility of the technique for distilled water drops on gemstones.

Conclusions:

  • The developed method provides a practical approach for contact angle measurement on complex, three-dimensional surfaces.
  • This technique offers an alternative to more complex axisymmetric drop shape analysis algorithms.
  • The findings are valuable for applications involving liquid behavior on sculptured surfaces.