Basic Fluid Dynamics: Calculating Exit Velocity & Mass Flow Rate

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SUMMARY

This discussion focuses on calculating exit velocity and mass flow rate for a liquid in a vessel under pressure. The key takeaway is that, ignoring friction, the exit velocity can be estimated using the principle that the velocity will allow the fluid to reach the height of the fluid surface. For water at one atmosphere, this velocity is approximately 45 feet per second. Doubling the pressure results in a velocity increase by a factor of the square root of 2.

PREREQUISITES
  • Understanding of basic fluid dynamics principles
  • Knowledge of pressure measurement (e.g., bar)
  • Familiarity with the concept of exit velocity
  • Basic mathematical skills for calculations involving square roots
NEXT STEPS
  • Research the Bernoulli's equation for fluid flow
  • Learn about the effects of pressure on fluid velocity
  • Explore the concept of mass flow rate in fluid dynamics
  • Investigate the impact of friction losses in fluid flow calculations
USEFUL FOR

This discussion is beneficial for mechanical engineers, fluid dynamics students, and anyone involved in calculating fluid flow rates and velocities in pressurized systems.

bootsnbraces
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Hi guys and girls,

I hope you can help an electronics engineer out of his place in the mechanical world:rolleyes:

My very basic question is for a vessel holding a liquid at a given pressure and a given opening in the vessel how can i calculate exit velocity and mass flow rate? Like if i blow a balloon up to say 1 bar (good balloon huh:)) and then put a 1mm hole inside it how fast will the air be traveling as it leaves the balloon?


I don't need anything to detailed ( not worried about internal friction losses etc) and for now i can assume the vessel is fed by constant pressure mechanism i.e it won't drop pressure as it empties!

Any help gratefully recieved
 
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Ignoring friction, the exit velocity should be just enough to squirt a stream back up to the height of the surface of the fluid.

That's about 30 feet for water at one atmosphere. 30 feet at one g is about 45 feet per second. Double the pressure and you multiply the stream velocity by sqrt(2).
 

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