Fluid Mecanics : Force on a Y pipe

[LoiS]

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

 

[Topher925]

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.