Bernoulli's theorem of conservation in a nozzle spraying to atmosphere

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SUMMARY

Bernoulli's theorem applies to fluid dynamics, specifically in scenarios involving pressure changes in a nozzle. In the discussed application, water flows from a pump through a pipe with varying diameters, ultimately exiting through a nozzle to the atmosphere. The pressure gauge located on the pipe indicates that the gauge pressure at the nozzle is atmospheric pressure, which is effectively zero. This conclusion aligns with the principles of Bernoulli's theorem, which states that the pressure at the outlet of the nozzle equals atmospheric pressure due to the conservation of energy in fluid flow.

PREREQUISITES
  • Understanding of Bernoulli's theorem
  • Knowledge of fluid dynamics principles
  • Familiarity with pressure measurement techniques
  • Basic concepts of nozzle design and function
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USEFUL FOR

Engineers, physicists, and students studying fluid dynamics, as well as professionals involved in designing and analyzing fluid systems, particularly those utilizing nozzles and pumps.

Michael V
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Hi there, I'm having a problem behind the theory of bernoulli's theorem. Can it be applied in an application where water flows from a pump into a pipe with x diameter and out of a nozzle with y diameter to atmosphere. There is a pressure gauge on said pipe. There is a nozzle screwed into this pipe with no pressure gauge on it.

Is the gauge pressure at the nozzle atmospheric pressure, 0 or is it what can be calculated using bernoulli's theorem of conservation of energy?
 

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Ive just found this worked example. It says that the pressure at the outlet is 0. Why is this?
 

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