Force Exerted by fluid on a Bend, an Enlargement, or a Contraction

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SUMMARY

The discussion focuses on the conversion of a book equation to a finite element (FE) manual equation for calculating the force exerted by fluid on a bend, enlargement, or contraction. The correct equation is established as Fx = P1A1 - P2A2Cosa + Qp(V2Cosa + V1). A critical sign error in equation 11.49 from the referenced material is highlighted, indicating it should be expressed as -Qp(V2Cosa + V1) instead of the incorrect positive form. The participant expresses frustration over discrepancies between the FE manual's equation and the book's example problem.

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sandmanvgc
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Homework Statement
I’m looking at the FE manuals equation which to me doesn’t look the same as one in practice problem review book. Am I wrong and not looking at it right?
Relevant Equations
3rd pic attempt to convert book equation into manual
My attempt to try and convert book equation to FE manual equation in 3rd pic
Rich (BB code):
Fx = QpV1 + P1A1 -  QpV2Cosa - P2A2Cosa

Fx = P1A1 - P2A2Cosa+ Qp(V2Cosa +V1)

P1A1 - P2A2Cos(a) - Fx = -Qp(V2Cosa +V1)
 

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There's a sign error in eq 11.49 in the second attachment. It should clearly be ##(-\dot m\bar V_2-...##, not ##(\dot m\bar V_2-...##.
 
haruspex said:
There's a sign error in eq 11.49 in the second attachment. It should clearly be ##(-\dot m\bar V_2-...##, not ##(\dot m\bar V_2-...##.
The book has an example problem too, I wasn't getting the answer using the FE manual's equation. Frustrating time lost on trying to do these
 

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