How Does Bernoulli's Principle Apply to Fluid Flow in Pipes?

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SUMMARY

This discussion focuses on the application of Bernoulli's Principle to fluid flow in pipes, specifically analyzing a water tank system with an inlet pipe diameter of 1.89 cm and an outlet pipe diameter of 5.47 cm. The inlet pipe delivers water at a gauge pressure of 1 atm, resulting in an outlet velocity of 4.943 m/s. The discussion seeks to determine the gauge pressure in the outlet pipe, emphasizing the need for understanding fluid dynamics equations to solve such problems effectively.

PREREQUISITES
  • Understanding of Bernoulli's Principle
  • Knowledge of fluid dynamics equations
  • Familiarity with gauge pressure concepts
  • Ability to perform calculations involving pipe diameters and flow rates
NEXT STEPS
  • Research the application of Bernoulli's Equation in fluid dynamics
  • Learn how to calculate gauge pressure in fluid systems
  • Explore the relationship between pipe diameter and flow velocity
  • Study the continuity equation for incompressible fluids
USEFUL FOR

Students studying fluid dynamics, engineers working with hydraulic systems, and anyone interested in the practical applications of Bernoulli's Principle in real-world scenarios.

brv
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Homework Statement



A large water tank has an inlet pipe and an outlet pipe. The inlet pipe has a diameter of 1.89 cm and is 1.29 m above the bottom of the tank. The outlet pipe has a diameter of 5.47 cm and is 4.25 m above the bottom of the tank. A volume of 0.697 m3 of water enters the tank every minute at a gauge pressure of 1 atm.

a) What is the velocity of the water in the outlet pipe?
4.943 m/s

b)What is the gauge pressure in the outlet pipe?

Homework Equations





The Attempt at a Solution



a) What is the velocity of the water in the outlet pipe?
4.943 m/s

I found this part but i don't know how to do the second part.Please help me.
 
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brv said:

Homework Statement



A large water tank has an inlet pipe and an outlet pipe. The inlet pipe has a diameter of 1.89 cm and is 1.29 m above the bottom of the tank. The outlet pipe has a diameter of 5.47 cm and is 4.25 m above the bottom of the tank. A volume of 0.697 m3 of water enters the tank every minute at a gauge pressure of 1 atm.

a) What is the velocity of the water in the outlet pipe?
4.943 m/s

b)What is the gauge pressure in the outlet pipe?

Homework Equations




The Attempt at a Solution



a) What is the velocity of the water in the outlet pipe?
4.943 m/s

I found this part but i don't know how to do the second part.Please help me.

What equation is commonly used in fluid dynamics questions?
 

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