Pressure Difference: Is the Solution Wrong?

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foo9008
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Homework Statement


is the solution given wrong ? from the bernoulli's equation , (PA-PB) / ρg = hf + ZB - ZA , am i right ? P/s : the Velocity at A and B are the same , so they cancel each other ... but in the solution , the author gave (PA-PB) / ρg = hf + ZA - ZB which is 18.27 +40 , IMO , it should be 18.27-40 , am i right ?

Homework Equations

The Attempt at a Solution

 
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  • Text problem: pipe diameter 300 mm and length 3200 m carrying 50 kg/s oil; point A is 40 m higher than point B; use Hagen-Poiseuille equation to find pressure difference; rho = 950 kg/m^3, nu = 2.1 x 10^-4 m^2/s.
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  • Slide with the Hagen-Poiseuille head loss calculation hf = 32 mu L V / (rho g D^2) = 18.27 m, and the Bernoulli equation rearranged to (PA - PB)/rho g = 40 + 18.27, giving PA - PB = 5.43 kN/m^2.
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Chestermiller said:
Check your algebra.
the question gave point A is 40m higher than B ...
 
Chestermiller said:
Yes. I agree with you.
since 18.27 - 40 has negative value , so the water should flow from B to A ?
 
foo9008 said:
since 18.27 - 40 has negative value , so the water should flow from B to A ?
They probably meant to say that B is higher than A.

By the way, did you check the Reynolds number to see if the flow really would be laminar?