Capillary and liquid tension problem

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SUMMARY

The discussion centers on the capillary and liquid tension problem involving a capillary system with a thinner tube and a larger tube. At equilibrium, the thinner tube is full of liquid while the larger tube has a meniscus. When a drop is added to the thinner tube, the liquid flows into the larger tube, indicating a pressure differential. The Young–Laplace equation is relevant for understanding the relationship between surface tension and capillary forces, explaining why the larger tube has a taller liquid column despite its larger diameter.

PREREQUISITES
  • Understanding of the Young–Laplace equation
  • Basic principles of capillary action
  • Knowledge of pressure differentials in fluid systems
  • Familiarity with liquid meniscus behavior in tubes
NEXT STEPS
  • Study the Young–Laplace equation and its applications in fluid mechanics
  • Research capillary action and its effects in various tube diameters
  • Explore the concept of pressure differentials in communicating vessels
  • Investigate the effects of surface tension on liquid movement in capillary systems
USEFUL FOR

Students of physics, engineers working with fluid dynamics, and anyone interested in understanding capillary action and liquid tension phenomena.

greyy
Dear all,
I have a problem to solve but i am not very familiar with physics.
See attached image.
Data:
1)I have a capillary system with a short an thinner tube on one end and larger taller tube communicating.
2) at the equilibrium, the thinner capillary is full of liquid, while there is a meniscus on the larger one.
3) when a drop is added on the top of thinner tube, system re-equilibrates flowing on the right, increasing the height in the right tube.

I assume total pressure on the left is higher than the pressure on the right.
But why is all happening?
surface tension on the left vs capillary forces on the right? (in a communicatin vessel system, nomally, the larger tube has lower liquid height, but here the thinner tube has no more walls.)..
Thanks in advance for any help!

Urla
 

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Dear haw, no. honestly. I've just given a read to the link, I am not getting.
Could you give me an explanation on the graphical example I provided?

Question 1, why at the equilibrium the larger tube has a taller liquid column compared to the thinner capillary (on left of the image)? I understand the thinner capillary is already full .

Question 2, when I perturb the equilibrium by puttin a drop on the top of the thinner capillary the liquid flows to the right. I understand that the drop has no real walls and it is just surface tension.. why is flowing to the right towards the larger capillary?

From my very limited physics knowledge, I remember that in order to have a movement of a liquid I need a delta Pressure. In this case P(@drop) > P(@larger capillary). At the equilibrium P (@thin capillary ) = P(@larger capillary)
 
Last edited by a moderator:
larger tube has smaller curvature, so capillary pressure is smaller. And add a drop, neglect gravity of this drop, you still add a capillary pressure downward
 

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