Fluid dynamics (masters level)

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SUMMARY

The discussion focuses on estimating the average acceleration of water as it flows through a garden hose nozzle, specifically within the context of a Masters level Physics problem. Key steps include estimating the volume of water per second, calculating the internal cross-sectional area of the hose and nozzle, and determining the change in velocity as water passes through the nozzle. The acceleration is defined as the rate of change of velocity, which is derived from these calculations. The inquiry highlights the complexity of applying fluid dynamics principles in an academic setting.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of cross-sectional area calculations
  • Familiarity with velocity and acceleration concepts
  • Basic skills in mathematical estimation and problem-solving
NEXT STEPS
  • Research fluid dynamics equations, specifically Bernoulli's equation
  • Learn about the continuity equation in fluid flow
  • Explore the concept of velocity profiles in nozzle design
  • Study practical applications of fluid dynamics in engineering contexts
USEFUL FOR

This discussion is beneficial for graduate students in physics or engineering, educators teaching fluid dynamics, and professionals involved in hydraulic systems design.

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Q) " Estimate the average acceleration of water as it travels through the nozzle on your garden hose. List all the assumptions and show calculations. "

Plz help...ny body before i come a dead body ! :mad:
 
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I'll start this off for you.
1st estimate the volume of water per second.
I would do this by guessing how long it would take your hose to fill a tank of known volume.
Then guess the diameter of the inside of the hose pipe, and from that the internal cross sectional area.
Then guess the diameter of the nozzle outlet, and hence its cross section area.

Then, you know that the volume of water passing through the pipe and nozzle is equal; and is equal to the cross section area times the velocity.
From this you will get the change in velocity of the water as it passes through the nozzle.

Acceleration is rate of change of velocity.

I would add that I'm intrigued as to exactly what, at "Masters Level", this question is designed to test.
 
Last edited:
thanx for your gracious reply. this question is asked in the MSc. Mathematics course... i was also amazed that what these people and why they wanted to ask such a question. any ways thanks once again for your precious reply.
 

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