Pressure change when volume changes for incompressible fluid

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SUMMARY

The discussion focuses on calculating the pressure increase in a closed tube filled with water when its volume is reduced by 10% during a hydroforming operation. The initial pressure is set at 10 bar with a starting volume of 2.1 liters. Participants emphasize the importance of understanding the bulk compressibility of water to determine the new pressure accurately. The key equation for calculating the change in pressure (dP) can be derived from the principles of fluid mechanics, specifically for incompressible fluids.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Knowledge of bulk compressibility of fluids
  • Familiarity with pressure-volume relationships in closed systems
  • Basic mathematical skills for rearranging equations
NEXT STEPS
  • Research the bulk compressibility of water and its implications in fluid mechanics
  • Study the equations governing pressure changes in incompressible fluids
  • Explore hydroforming techniques and their effects on fluid dynamics
  • Learn how to apply the ideal gas law in scenarios involving incompressible fluids
USEFUL FOR

This discussion is beneficial for mechanical engineers, fluid mechanics students, and professionals involved in hydroforming processes or pressure vessel design.

Chris F
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Homework Statement



Hi guys,

My first post here, I hope someone can help me out with a quick fluid mechanics problem.

I'm looking to calculate the pressure increase inside a closed tube full of water when the tube is crushed and therefore its volume reduced.

The tube is filled completely with water and pressurised to a nominal pressure of 10 bar. The starting volume is 2.1l and the volume after crushing is 90% of the initial volume.

2. The relevant equations

The tube remains sealed at all times so I think I can consider the fluid to be static and as its water, incompressible. However I am struggling to find the relevant equation to allow me to calculate the new pressure. All the static problems i have seen are concerned with open containers.

Can anyone help?

Thanks,

Chris
 
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Look up the BULK COMPRESSIBILITY of water. But a 10% decrease in volume seems very unlikely.

Chet
 
Chestermiller said:
Look up the BULK COMPRESSIBILITY of water. But a 10% decrease in volume seems very unlikely.

Chet

Ok thanks, so i can rearrange to solve for dP using the values i quoted above?

Sorry i should probably explained more thoroughly, I am crushing the tube with a press into a machined die as part of a hydroforming operation, the 10% is a rough approximation using the shape of the die as an indication of the form the tube will take.

Thanks,

Chris
 
Chris F said:
Ok thanks, so i can rearrange to solve for dP using the values i quoted above?Chris
yes.
 

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