I have attached the problem.I know I need to apply the energy

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SUMMARY

The discussion centers on the application of the energy equation for fluid mechanics, specifically in calculating head loss (h_t) in a system without turbines or pumps. The equation presented is P1/(gamma1) + V1^2/(2*g) + Z1 = P2/(gamma2) + V2^2/(2*g) + Z2 + h_t + h_f - h_p + h_m. The user expresses confusion regarding the relationship between head loss due to friction (h_t) and the K values provided, questioning their relevance in the calculation. It is established that head loss for pipe components must be added to the overall head loss in the system.

PREREQUISITES
  • Understanding of the energy equation in fluid mechanics
  • Familiarity with head loss calculations, including friction factor and K values
  • Knowledge of fluid properties such as pressure, velocity, and elevation
  • Experience with Moody's chart for determining friction factors
NEXT STEPS
  • Study the derivation and application of the energy equation in fluid systems
  • Learn how to calculate head loss using the Darcy-Weisbach equation
  • Research the significance of K values in head loss calculations for pipe components
  • Explore the impact of different friction factors on overall system performance
USEFUL FOR

Fluid mechanics students, engineers involved in hydraulic design, and professionals working on pipeline systems will benefit from this discussion.

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I have attached the problem.

I know I need to apply the energy equation:
P1/(gamma1)+V1^2/(2*g)+Z1=P2/(gamma2)+V2^2/(2*g)+Z2+h_t+h_f-h_p+h_m

P=pressure
V=velocity
g=gravity
Z=elevation
h_t=head due to turbine
h_p=head due to pump
The above 2 are 0 since there's no turbine and pump in this problem
h_t=headloss
h_m=minor losses due to bends, valves, etc...

So I must solve for h_t.

This has me confused, isn't h_t=f*L*2*g/d?
where f=friction factor (obtained from mood's chart)
L=length
d=diameter

I don't understand why we are given K values if we don't use them, unless I can't apply the equation h_t=f*L*2*g/d?
 

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Headloss for pipe components: hL=k*v2/2g where v = velocity

You need to add the headloss of the pipe components to the headloss of the pipe
 

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