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The average flow speed in a constant-diameter section of the Alaskan pipeline is 2.5 m/s. At the inlet, the pressure is 8.25 MPa (gage) and the elevation is 45 m; at the outlet, the pressure is 350 kPa (gage) and the elevation is 115 m. Calculate the head loss in this section of pipeline.

Answer :

Answer:

head loss = 805.327 m

Explanation:

given data

average flow speed v = 2.5 m/s

inlet pressure Pi = 8.25 MPa

elevation Zi =  45 m

outlet pressure Po = 350 kPa

elevation Zo = 115 m

we consider oil Specific Gravity = 0.92

to find out

head loss in this section of pipeline

solution

we find here head loss that is inlet and outlet  

Hi = [tex]\frac{Pi}{\rho g} +\frac{Vi^2}{2g} +Zi[/tex]    ..............1

put here value  

Hi = [tex]\frac{8.25*10^6}{920*9.81} +\frac{2.5^2}{2*9.81} +45[/tex]

Hi = 959.425 m

and

Hout = [tex]\frac{Pout}{\rho g} +\frac{Vout^2}{2g} +Zout[/tex]    ..............2

put here value  

H out = [tex]\frac{350*10^3}{920*9.81} +\frac{2.5^2}{2*9.81} +115[/tex]  

H out = 154.098 m

so  

head loss is = Hi - H out  

head loss is = 959.425 - 154.098  

head loss = 805.327 m

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