Fluids in motion (Bernoulli's equation)

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SUMMARY

The discussion revolves around the application of Bernoulli's equation in fluid dynamics, specifically regarding the effect of nozzle constriction on water flow rate. When the speed of water exiting the hose doubles due to partial blockage, the time to fill the bucket remains unchanged at 30.0 seconds. This conclusion is derived from the principle of continuity, expressed as A1v1 = A2v2, indicating that the flow rate is conserved despite changes in velocity.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Familiarity with fluid dynamics principles
  • Knowledge of the continuity equation (A1v1 = A2v2)
  • Basic algebra for solving equations
NEXT STEPS
  • Study the implications of Bernoulli's equation in real-world applications
  • Explore fluid dynamics simulations using software like ANSYS Fluent
  • Learn about the effects of pressure changes in fluid systems
  • Investigate the relationship between flow rate and cross-sectional area in various geometries
USEFUL FOR

Students in physics or engineering, educators teaching fluid dynamics, and professionals involved in hydraulic systems design will benefit from this discussion.

Lunar Guy
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1. The time required to fill a bucket with water from a certain garden hose is 30.0 s. If you cover part of the hose's nozzle with your thumb so that the speed of the water leaving the nozzle doubles, how long does it take to fill the bucket?



2. Homework Equations : None required. I hope. Just in case: A1v1 = A2v2



3. I believe that it would take the same amount of time to fill the bucket with water with your thumb on the nozzle than it would without your thumb on the nozzle... But I'm not sure...
 
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