Fluid flow problem with the momentum balance equation

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All problem info, and my work is done in the attached pdf.

Basically, I'm not sure that I have done it correctly.
 

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What is the formula for the area of a circle in terms of diameter?
 
Ooops

So the answer is then:


Fp = -[itex]\rho[/itex]vj2[itex]\frac{\pi}{4}[/itex](D12 - D22)
 
Looks good to me.