Fluid Mecanics : Force on a Y pipe

AI Thread Summary
To analyze the forces on a Y pipe using the momentum equation, the same principles apply as with straight or bent pipes, with the key difference being the flow direction. The velocities at the exits of sections B and C must be treated as vectors, incorporating both x and y components. The momentum equation can be adapted to account for these components, allowing for the calculation of forces in both horizontal and vertical directions. By applying the momentum balance correctly, you can determine the forces acting on the Y pipe. Understanding the vector nature of the flow is crucial for accurate analysis.
LoiS
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Hi,
I have a problem with the momentum equation in fluid mecanics. Here is my probleme.
I have a Y pipe which is horizontal. The inlet velocity is Va, section A, mass flow Qa, and pressure Pa. The pipe is deviding in two sections B and C. I know Vb,Vc section B and C, mass flow at B and C and the pressure Pb and Pc. The angle between the horizonthal section and the other is theta
I want to have the force applied on the pipe. If I apply the momentum equation i will have :
sum Fx=rhoQ delta(Vx)
sum Fy=rhoQ delta(Vy).
What is the strategie for a Y pipe? With a simple pipe we would have:
PaVa-PbVb-Fx=rhoQ(Vb-Va) but for a Y pipe i don't know.
Can someone help me?

Sorry for my poo English my native lagauge is French.
Thanks
Loic
 
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You can apply the same principles to a Y pipe that you can to a strait or bent pipe. The only difference will be the direction of the flows. So for a Y pipe, your velocities at the exit will be vectors with both an x and a y component.
 
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