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

  (velocity everywhere in the smaller cross-section    
Apply continuity over the same CV:
  
Or,   
   
Substitute,  
             neglecting viscous forces (friction on wall), neglecting viscous forces.
      
  Equating, Ans.

  • Choice of CV is important. If CV is chosen so that the CS cuts the nozzle, then there will be reaction forces, which will be unknown:
(Fig. 14e)
; However there is no viscous force as in the previous case!
 Weight of the nozzle and the water inside. The latter–CV may be chosen when the question posed is: determine the force to hold the nozzle in place.