Velocity of water in water hose

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SUMMARY

The velocity of water in a hose can be approximated as close to zero when the hose is primarily closed, with only a thin jet remaining at the outlet. This conclusion is derived from the application of the continuity equation, which states that if the outlet area is significantly smaller than the cross-sectional area of the hose, the velocity inside the hose must be minimal. The discussion emphasizes the importance of visualizing the problem through diagrams to understand the flow dynamics effectively.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the continuity equation in fluid mechanics
  • Basic skills in diagram drawing for visual problem-solving
  • Knowledge of flow characteristics in closed systems
NEXT STEPS
  • Study the continuity equation in fluid mechanics
  • Learn about flow rates and velocity profiles in hoses
  • Explore the effects of cross-sectional area on fluid velocity
  • Investigate practical applications of fluid dynamics in engineering
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Students studying fluid mechanics, engineers working with fluid systems, and anyone interested in understanding water flow dynamics in hoses.

foo9008
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Homework Statement


in this problem , the author assume that velocity inside the hose is very low , near to 0 . but , it's not stated in the question , it's the anaylsis of the author . How do we know that the velocity of water in hose is close to 0 , if it is not mentioned earlier?

Homework Equations

The Attempt at a Solution

 

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foo9008 said:
in this problem , the author assume that velocity inside the hose is very low , near to 0 . but , it's not stated in the question , it's the anaylsis of the author . How do we know that the velocity of water in hose is close to 0 , if it is not mentioned earlier?
Because the question implies it. Draw a diagram and it should show itself.
 
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billy_joule said:
Because the question implies it. Draw a diagram and it should show itself.
i still don't understand , can you explain ?
 
The question states the hose is mainly closed and only a thin jet remains. Apply the continuity equation, if the jet outlet area is much smaller than the hose area then velocity in the hose must be close to zero.
 
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