Derivation of discharge over rectangular weir

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SUMMARY

The discussion centers on the derivation of discharge over a rectangular weir, specifically addressing the velocity at an elemental height h, which is established as √(2gh) based on Bernoulli's equation. Participants express confusion regarding the application of Bernoulli's principle and its implications for fluid velocity and pressure at the weir's exit. The conversation highlights the importance of correctly applying Bernoulli's equation to derive fluid velocity and understand the atmospheric pressure acting on the fluid.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with weir flow concepts
  • Basic mathematical skills for deriving equations
NEXT STEPS
  • Study the derivation of fluid velocity from Bernoulli's equation
  • Research the principles of flow over weirs
  • Learn about atmospheric pressure effects in fluid mechanics
  • Examine case studies involving rectangular weir discharge calculations
USEFUL FOR

Engineers, hydrologists, and students of fluid mechanics who are involved in hydraulic design and analysis of weirs and fluid flow applications.

Ravikant Rajan
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How does the velocity at an elemental height h equates to √(2gh)? My application of Bernoulli's equation is not yielding the result. Please show the process.

Thank you
 

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So what is the difference between your handling of Bernoulli and, e.g., this one ?
 
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BvU said:
So what is the difference between your handling of Bernoulli and, e.g., this one ?
Thank You so much.
The exiting fluid also experiences same atmospheric pressure as the top point.
 

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