Fluid flow and momentum equation. Do I have the right equation?

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SUMMARY

The discussion centers on the fluid flow and momentum equations relevant to pipe bends, specifically addressing the equations for forces in the x and y directions. The equations presented are F1x + F3x = density x Q(Vx2 – Vx1) and F1y + F3y = density x Q(Vy2 – Vy1), with F1x and F1y representing reaction forces and F3x and F3y representing forces due to pressure and area. The user seeks confirmation on the correctness of their derived equations for Rx and Ry, which relate pressure, area, and density in the context of fluid dynamics.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with momentum equations in fluid mechanics
  • Knowledge of pressure-area relationships in fluid systems
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the derivation of the momentum equation in fluid mechanics
  • Learn about the application of Bernoulli's equation in pipe flow
  • Research the effects of pipe bends on fluid flow and pressure loss
  • Explore computational fluid dynamics (CFD) tools for simulating fluid flow
USEFUL FOR

Engineers, fluid mechanics students, and professionals involved in the design and analysis of piping systems will benefit from this discussion, particularly those focusing on fluid flow dynamics and pressure calculations in pipe bends.

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F1x+F3x = density x Q(Vx2 – Vx1)
F1x = -Rx
F3x= (pressure 1 x area 1) + (Pressure 2 x area 2) (Cos B)
F1y+F3y = density x Q(Vy2 – Vy1)
F1y = -Ry
F3y = (Pressure 2 + Area 2)(Cos B)
So is it:
Rx= (pressure 1 x area 1) + (Pressure 2 x area 2) (Cos B) - density x Q(Vx2 – Vx1)
Ry = (Pressure 2 + Area 2)(Cos B) - density x Q(Vy2 – Vy1)
 
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You mind defining all your variables just so that we don't make any assumptions about what you mean?
 

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