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

AI Thread Summary
The discussion focuses on converting a book equation related to fluid dynamics into a finite element (FE) manual equation. The key equation presented is Fx = QpV1 + P1A1 - QpV2Cosa - P2A2Cosa, which is further manipulated to highlight a sign error in equation 11.49 of the second attachment. The correct form should be negative, indicating a potential oversight in the original text. The participant expresses frustration over not obtaining the correct answer using the FE manual's equation, indicating a challenge in reconciling the two sources. This highlights the importance of accuracy in fluid dynamics equations for problem-solving.
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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