Predicting Contact Surface of Pressurized Balloons: Energy Minimization Method

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Discussion Overview

The discussion revolves around predicting the contact surface formed when two differently pressurized balloons are pushed together. The scenario is simplified to two disjoint hemispheres containing pressurized gas at different pressures. Participants explore the theoretical and practical implications of this interaction, focusing on energy minimization and deformation of the balloons.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant suggests that the problem can be framed as an optimization issue, noting the complexities involved in setting it up, including the elasticity of the balloons and the compressibility of the gases.
  • Another participant proposes that the contact surface is likely to take the shape of a circle, with its center pushed towards the lower pressure balloon, visualizing it as a bowl on its side.
  • A different perspective emphasizes the need for experimental validation, highlighting that the outward force from the pressurized air must be balanced by the elasticity of the balloons and atmospheric pressure.
  • It is noted that the interaction between the two balloons will alter their shapes, with one potentially appearing flat and the other bulging out due to the contact.

Areas of Agreement / Disagreement

Participants express various viewpoints on the nature of the contact surface and the factors influencing it, indicating that multiple competing views remain without a consensus on the exact prediction method.

Contextual Notes

The discussion acknowledges the complexities of the problem, including assumptions about elasticity, compressibility, and the need for experimental data to validate theoretical predictions.

Who May Find This Useful

This discussion may be of interest to those studying fluid dynamics, material science, or anyone involved in experimental physics related to gas behavior and balloon mechanics.

ice109
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let's suppose i have two differently pressurized balloons and i push them together. how can i predict what that contact surface will look like? to make this simpler let's say i have two disjoint hemispheres which contain a pressurized gas each, again at different pressures, and i push them together. how do i predict what that contact surface looks like?
 
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anyone?
 
Its an optimization problem. Sounds like it would be a fun problem to solve, but incredibly annoying to set up. You would have to take into account the balloons' respective elasticity, whether or not the gasses are equally as compressible, how the balloons themselves deform--

And remember, if you push two spheres together, you're exerting a force to push them together, so the sphere deforms on both sides.

You could guess however, depending on the size and pressures involved of these balloons, and assuming that they're spheres--that intuitively the first thing that comes to mind is that the contact surface will be shaped like a circle with the center pushed towards the LOWER pressure balloon (so it looks like a bowl on its side--bottom facing the lower pressure side.
 
experiment is needed to be done for this

air inside balloons is at higher pressure...this outward force is balanced by force due to elasticity of it and atomspheric pressure ...
when another balloon comes in contact with other balloon, situation changes..outward force due to that is to be considered..
one balloon might look a little flat and other a little bulging out..
 

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