How Do You Determine the Tangent Point for Contact Angle in Droplet Analysis?

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Discussion Overview

The discussion revolves around determining the tangent point for contact angle measurement in droplet analysis. Participants explore the geometric and physical principles involved in drawing tangents to droplet shapes, the implications of surface tension, and the forces at play between liquids and solid surfaces.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks clarification on how to identify the tangent point for contact angle measurement, noting the droplet appears semicircular.
  • Another participant observes that the droplet curves inward before contacting the surface, suggesting the angle may not be 90 degrees.
  • Questions arise about the direction of adhesive and cohesive forces, with some participants discussing how these forces relate to the contact angle and droplet shape.
  • A suggestion is made to fit an analytic function to the droplet shape for more accurate tangent determination.
  • Participants discuss the implications of surface tension, noting that if the surface tension of the liquid is less than that of the solid, the liquid wets the solid, and vice versa.
  • There is a discussion about the relationship between the tangent line and the resultant forces acting on the droplet, with some participants expressing confusion over the definitions and directions of these forces.
  • Clarifications are sought regarding the pressure differences on the concave and convex sides of the droplet, with a participant explaining that the concave side experiences higher pressure.
  • Participants debate the direction of surface tension forces and their relation to the contact angle, with some asserting that the direction of surface tension is aligned with the contact angle.

Areas of Agreement / Disagreement

Participants express various viewpoints on the nature of the contact angle, the forces involved, and the methods for determining the tangent point. No consensus is reached, and multiple competing views remain throughout the discussion.

Contextual Notes

Some participants note ambiguities in the visual representations provided, leading to confusion about the concepts being discussed. The discussion also highlights the complexity of the interactions between liquid and solid surfaces, which may depend on specific conditions and definitions.

Who May Find This Useful

This discussion may be useful for researchers and students in fields related to fluid dynamics, surface chemistry, and materials science, particularly those interested in droplet behavior and contact angle measurements.

  • #31
gracy said:
Here in these pictures,direction of surface tension shows that it wants a flat surface.Does flat surface have smaller surface area than curved one?
Yes.
gracy said:
T1, and T2 are interfacial (surface) tensions between the solid and liquid (which is not wetting in the illustrated case), and the solid and air Respectively?
Yes.
gracy said:
After this correction of my picture will your answer be still same?
Yes. I think, not certain, the angle for T3 is exaggerated. My suspicion is that T3 will have a direction very close to that of T2.
 
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  • #32
gracy said:
Sir,what is the direction of surface tension?Is it same as direction of contact angle?
Bystander said:
Yes.
Sir,how?As angle has two directions,contact angle also has two directions.One is direction of the cohesive force and direction of the adhesive force.
 
  • #33
Direction for a surface or interface is going to be in the plane that is tangent to the interface. You've already seen that it has to be specified which two phases are in contact, solid-liquid, solid-vapor, liquid-vapor. The contact angle for total wetting is 0 degrees, total repulsion (water on waxed paper, mercury on glass) is 180 degrees, and this is for solid-liquid interfaces. Partial wetting contact angles indicate the angle between the air/vapor-liquid interface/surface, and the air-solid interface or surface.
Now, which of these is the cohesive direction, and which the adhesive direction?
 
  • #34
Adhesion: perpendicular to the solid surface, the force of attraction holding either the liquid or the vapor phase to the solid surface.
Cohesion: parallel (tangent) to the solid surface (the cohesion of the solid surface), or parallel (tangent) to the liquid surface (the cohesion of the liquid surface).
 
  • #35
[
Bystander said:
Now, which of these is the cohesive direction, and which the adhesive direction?
Here T1=Force due to surface tension at the liquid-solid interface
T2=Force due to surface tension at the air-solid interface
T=Force due to surface tension at the air-liquid interface
All forces are adhesive.No cohesive force.Because the force of attraction between two molecules of the same substance is called cohesive force.
 
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