Bottomless fish tank pressure brainteaser

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SUMMARY

The discussion centers on a brain teaser involving a bottomless fish tank that operates similarly to a pet watering bowl. Key points include that if a hole is made at the top, air rushes in, causing water to overflow, while a hole at the bottom allows water to rush out. The pressure dynamics are crucial; at a height of 10 meters, the water column can exert sufficient pressure to prevent leaking, as the atmospheric pressure outside (101325 Pa) must be overcome. Surface tension is irrelevant in this scenario, as the pressure from the water above dictates the behavior of the water within the tank.

PREREQUISITES
  • Understanding of fluid dynamics and pressure concepts
  • Familiarity with atmospheric pressure measurements (e.g., 101325 Pa)
  • Basic knowledge of surface tension and its effects on liquids
  • Insight into the principles of hydrostatics
NEXT STEPS
  • Research the principles of hydrostatics and pressure in fluids
  • Explore the effects of atmospheric pressure on liquid behavior
  • Learn about fluid dynamics simulations using tools like ANSYS Fluent
  • Investigate real-world applications of pressure dynamics in engineering
USEFUL FOR

Physics enthusiasts, engineering students, and anyone interested in fluid dynamics and pressure-related phenomena will benefit from this discussion.

GiTS
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Link at the bottom if you do not know what I am talking about. Fish tank that works like pet watering bowl.

If you poked a hole at the top air would go rush in.
If you poked a hole at the bottom water would rush out.

At what point in the tank would water be under so little pressure, the tension would be enough for it to keep from leaking?

http://www.okeanosgroup.com/blog/aquariums/fun-with-physics-bottomless-fish-tanks/

This is a brain teaser but I don't have the answer yet.
 
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I am not sure exactly what you are asking. Surface tension doesn't play a role here. It is all about pressure. The surface of the water outside the pillar-type tank is under atmospheric pressure of 101325 Pa (14.7 psi). At that same level inside the vertical tank, there is no air, so it is only under the pressure from the water above. If it was going to fall down out of the vertical tank and thus raise the surface level outside of the tank, it would have to exert more pressure at the level of the surface than the air does, so conceivably, you could have a column of water up to 10 m tall before the tank would empty itself.

If you poke a hole in the top, no amount of surface tension will save you. That water will fall right out and overflow the bottom tank.
 

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