Radius of Curvature at Soap Bubble Contact Point

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SUMMARY

The discussion focuses on calculating the radius of curvature at the contact point between two soap bubbles with radii r and R. It is established that while surface tension is relevant, it cancels out in this specific problem. The key approach involves applying the pressure difference formula due to the internal pressure of the bubbles, which is greater than the external pressure. The relevant radii are r, R, and the common radius at the area of contact.

PREREQUISITES
  • Understanding of surface tension principles
  • Knowledge of pressure difference in fluids
  • Familiarity with the geometry of soap bubbles
  • Basic calculus for applying formulas
NEXT STEPS
  • Study the pressure difference formula in fluid mechanics
  • Explore the concept of surface tension in detail
  • Learn about the geometry of multiple intersecting spheres
  • Investigate the implications of curvature in fluid dynamics
USEFUL FOR

Students and professionals in physics, particularly those studying fluid mechanics, as well as anyone interested in the properties of soap bubbles and surface tension effects.

vkash
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Two soap bubbles of radius r and R are in touch find the radius of curvature of their point of contact?
(Both bubbles are touching each other with their external surfaces)

I have no idea about this question. can you please try to help>
 
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What do you know about surface tension?
 


Dadface said:
What do you know about surface tension?
No info about surface tension. even answer is in terms r and R.
If you think it can't be done without data related to surface tension then assume that to be S.
answer in book may be wrong...
 


So do you know the answer?
 


Dadface said:
So do you know the answer?
yeah;
It's answer is given in book. But book doesn't provide procedure.
 


Surface tension does come into it but in this problem it cancels out.Have you studied surface tension?
 


Dadface said:
Surface tension does come into it but in this problem it cancels out.Have you studied surface tension?

yes. (I have read surface tension,angle of contact, capillarity, pressure inside a soap and liquid bubble,change in energy when surface expand or collapse).
How do you approach to this question?
 


Good,so you should know that the pressure inside a bubble is greater than the pressure outside.Now apply that pressure difference formula to the bubbles when they are in contact.There are three radii of relevance r,R and the common radius over their area of contact.
 


Dadface said:
Good,so you should know that the pressure inside a bubble is greater than the pressure outside.Now apply that pressure difference formula to the bubbles when they are in contact.There are three radii of relevance r,R and the common radius over their area of contact.
Wow!
great;
i have got the answer.
thanks for helping me.
 
  • #10


vkash said:
Wow!
great;
i have got the answer.
thanks for helping me.

if u have understood pls help me too i haven't understand nythin abt the common radii
 

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