Understanding Bernoulli's Principle in Fluid Dynamics: Quick Question Answered

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SUMMARY

This discussion clarifies the application of Bernoulli's Principle in fluid dynamics, specifically regarding pressure variations in a tube open to the atmosphere. It confirms that pressure remains constant along a horizontal streamline, and any changes in pressure due to depth differences are accounted for in Bernoulli's equation. The conversation emphasizes that the pressure at the tube's entrance (pgh) differs from the pressure at the tube's exit (pgh + p0) due to atmospheric influence and depth variations.

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  • Understanding of Bernoulli's Equation
  • Knowledge of fluid statics and dynamics
  • Familiarity with pressure concepts in fluid systems
  • Basic principles of streamlines in fluid flow
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fobbz
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I understand everything up to B). I believe Bernoulli's is applicable here, however I am unsure as to whether or not the pressure before the tube (pgh) is the same or different as the pressure at the tube pgh +p0. I ask the same question for the opposite end of the tube.
I know that pressure is constant along a horizontal line however at the tube the water is open to the atmosphere and thus experiences that pressure, and also has a higher depth than before the tube.
 

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hi fobbz! :smile:
fobbz said:
… I am unsure as to whether or not the pressure before the tube (pgh) is the same or different as the pressure at the tube pgh +p0. I ask the same question for the opposite end of the tube.
I know that pressure is constant along a horizontal line …

that's correct …

Bernoulli's equation is valid along any streamline, and that horizontal line is a streamline

(that open vertical tube would only make a difference if it caused the streamline to be no longer horizontal)
 

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