How Does Surface Tension Affect Pressure Between Non-Wetting Plates?

Click For Summary
SUMMARY

The discussion focuses on the impact of surface tension on pressure between non-wetting plates, specifically referencing Problem 7 from the MIT Fluid Dynamics course. The equation derived, F=2*V/(a^2)*σ*cos(180-θ), illustrates the relationship between surface tension and the forces acting on the plates. Participants concluded that the vertical component of surface tension aligns with the required force, indicating that no additional force is necessary to maintain the plates' position. The pressure in the liquid between the plates is higher than the atmospheric pressure due to the effects of surface tension.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with surface tension concepts
  • Knowledge of pressure differentials in fluids
  • Ability to manipulate and interpret mathematical equations in physics
NEXT STEPS
  • Study the effects of surface tension on fluid behavior in non-wetting scenarios
  • Explore advanced fluid dynamics equations and their applications
  • Investigate the relationship between surface tension and pressure in various fluids
  • Learn about experimental methods to measure surface tension and pressure differentials
USEFUL FOR

Mechanical engineers, fluid dynamics researchers, and students studying the effects of surface tension in fluid systems will benefit from this discussion.

Aias
Messages
1
Reaction score
0

Homework Statement


http://ocw.mit.edu/courses/mechanic...cs-spring-2013/assignments/MIT2_06S13_ps2.pdf
Problem 7[/B]

Homework Equations


##F=2*V/(a^2)*\sigma*cos(180-\theta)##

The Attempt at a Solution


With the problem statement given, it seems like the component of surface tension in the vertical direction on the upper plate would be in the same direction as the proposed required force due to the surface being non-wetting, thus no need for an actual force F to hold the plates together. I don't see what kind of force would want to push the plates apart? I came to that equation after some fiddling around, it seems like it could be correct, but I don't have an intuitive understanding why it would be so.
 
Physics news on Phys.org
Aias said:

Homework Statement


http://ocw.mit.edu/courses/mechanic...cs-spring-2013/assignments/MIT2_06S13_ps2.pdf
Problem 7[/B]

Homework Equations


##F=2*V/(a^2)*\sigma*cos(180-\theta)##

The Attempt at a Solution


With the problem statement given, it seems like the component of surface tension in the vertical direction on the upper plate would be in the same direction as the proposed required force due to the surface being non-wetting, thus no need for an actual force F to hold the plates together. I don't see what kind of force would want to push the plates apart? I came to that equation after some fiddling around, it seems like it could be correct, but I don't have an intuitive understanding why it would be so.
As a result of the surface tension effect, is the pressure in the liquid between the plates higher of lower than the pressure of the surrounding atmosphere?

Chet
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 63 ·
3
Replies
63
Views
5K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
1
Views
3K
Replies
5
Views
2K
Replies
4
Views
1K