Entrance loss from open channel to pipe

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SUMMARY

The entrance loss from an open channel to a pipe is quantified using the equation hloss = K*(V2^2 - V1^2)/2g. This formula incorporates both the velocity of the fluid in the pipe (V2) and the velocity in the open channel (V1). The discussion clarifies that while traditional entrance loss equations often simplify to K*(V^2)/2g, the inclusion of V1 accounts for the actual flow conditions at the transition point. The assumption that V1 is zero is a common simplification but not universally applicable.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Bernoulli equation
  • Knowledge of entrance loss coefficients (K)
  • Basic concepts of open channel flow
NEXT STEPS
  • Research the derivation of entrance loss equations in fluid mechanics
  • Study the impact of velocity changes on flow transitions
  • Explore the application of the Bernoulli equation in real-world scenarios
  • Investigate the significance of the entrance loss coefficient (K) in various flow conditions
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Engineers, hydrologists, and students studying fluid mechanics who are interested in understanding flow transitions between open channels and pipes.

miriza
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Hi!

I have the following equation for the entrance loss from an open channel to a pipe, but I'm not sure how it was derived:

hloss = K*(V2^2 - V1^2)/2g

I have always seen entrance losses as: K*(V^2)/2g, but why is the channel flow velocity considered in the equation above.

Thanks, Michelle
 
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I think it is because the velocity in the open channel (V1) is assumed to be zero, but I am not 100% sure.
 

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