How to find Velocity V2 with bernoulli Equation?

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SUMMARY

The discussion focuses on calculating the velocity V2 of water using the Bernoulli Equation, considering factors such as friction, elevation, and additional k factors. The parameters include a 200m long pipe with a 125mm diameter, a take elevation of 12m, a friction factor of 0.008, and total k factors of 3.3. The user seeks clarification on the terms V1 and V2, as well as the concept of a "take," while attempting to derive the mass flow rate from the equation V^2(2) = 2g + Z(2) + 4f l/d + k.

PREREQUISITES
  • Understanding of the Bernoulli Equation and its applications
  • Knowledge of fluid dynamics concepts such as friction factor and elevation head
  • Familiarity with pipe flow calculations and mass flow rate determination
  • Basic grasp of hydraulic systems and gravity feed mechanisms
NEXT STEPS
  • Study the derivation and application of the Bernoulli Equation in fluid mechanics
  • Learn how to calculate mass flow rate using the continuity equation
  • Explore the impact of friction factors in pipe flow using the Darcy-Weisbach equation
  • Investigate the significance of k factors in hydraulic systems and their effect on flow rates
USEFUL FOR

Engineers, fluid dynamics students, and professionals involved in hydraulic system design and analysis will benefit from this discussion.

bakoo
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Water is fed via a 200m long, 125mm diameter pipe to a field. The take is 12m elevation. the friction factor is 0.008 and k factors add up to 3.3.

Pressure is all atmospheric and V1 is 0.



Homework Equations



Bernoulli Equation with the addition of friction, elevation and k factors



The Attempt at a Solution



V^2(2) = 2g+Z(2)+4f l/d + k

I have managed to find around 4 different equations and think they are all wrong. I have excluded parts of the equation as they are equal to zero on boths parts of equation.

What i need to do is solve V(2) and obtain the mass flow rate?

Help is very much appreciated.
 
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What are V1 and V2? I'm not familiar with the term "take". Is this a simple gravity feed?

Also, if you have not done this above, please write the original question EXACTLY as it was given to you.
 

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