Module 5: Reynolds Transport Theorem
  Lecture 14: Momentum theorem examples
 
 

 Note that , which follows from continuity. Apply continuity under SS:

Therefore,
 
 

 
Let us make free-body- diagram on CV
(Fig. 14b)
There are pressure forces acting on  by the water; reaction forces on CV, Rx and Ry (reaction forces from the support to hold bend in place). Atmospheric pressure acts uniformly over the entire CV, except on  where the pressure is (absolute). Therefore, add and substract  to make the contribution of atmosphere zero on CV. In other words, .