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

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The discussion focuses on applying the energy equation to solve for head loss (h_t) in a fluid dynamics problem. The equation incorporates pressure, velocity, elevation, and various head losses, with specific emphasis on the absence of turbines and pumps in this scenario. There is confusion regarding the use of friction factors and K values for calculating head loss, particularly whether to apply the equation h_t=f*L*2*g/d. Participants clarify that K values are relevant for minor losses in pipe components, which should be added to the overall head loss. The conversation emphasizes the importance of correctly integrating all forms of head loss in the calculations.
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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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