Engineering Nozzle and diffuser momentum equation

[hance]

Homework Statement

Hi everyone. I am having a little trouble understanding how would I start the task. I have:
the density of the fluid,
cross-sectional areas: A1 and A2,
inflow and outflow velocity: v1 and v2,
pressure: p1, p2 (p2=p(atm))

Using all of the above I would have to write the force balance and momentum equation for the nozzle and diffuser, so I could afterward derive the equation for the force that is needed to hold the diffuser or nozzle in its position.

I am not sure if the momentum equation for nozzle and diffuser is the same? My assumption is that it should be, but I would like to check it with you.

I just need help with the beginning of the task and that is to write the correct force balance and momentum equation, the rest with simplifying the equation using Continuity and Bernoulli I know.

Relevant Equations

Force balance in the diffuser and nozzle
Momentum equation

.

 

[Chestermiller]

Yes, equations are the same

 

[hance]

Yes, equations are the same

Thank you very much :)