Bernoulli's Eq: P1=P2 & Torricelli's Eq

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SUMMARY

Bernoulli's equation demonstrates that the pressures at two points (P1 and P2) in a fluid system can be considered equal when both points are exposed to atmospheric pressure, leading to the derivation of Torricelli's equation. This principle applies specifically to fluid exiting a spigot, where the internal pressure at the exit point matches the atmospheric pressure. The discussion clarifies that while the internal pressure is crucial, it must equal the external atmospheric pressure at the open ends of the streamline.

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  • Understanding of Bernoulli's equation
  • Familiarity with fluid dynamics concepts
  • Knowledge of Torricelli's theorem
  • Basic principles of pressure in fluid systems
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bluejay27
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When using Bernoulli's equation to describe fluid that is coming out from a spigot, why is it that P1 = P2 are the same? This cancellation will eventually lead to the Torricelli's equation.
 
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In deriving Torricelli's theorem, both ends of the streamline are assumed to be at atmospheric pressure. (They are exposed to the atmosphere.)
 
Isn't the pressure supposed to be internal pressure?
 
bluejay27 said:
Isn't the pressure supposed to be internal pressure?
Yes, it's the pressure inside the fluid. At those points that pressure must match the external atmospheric pressure.
 

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