Module 5: Reynolds Transport Theorem
  Lecture 13: Continuity, Momentum theorem
 
 
B. Momentum - conservation equation
(Fig. 13c)
Reynolds Transport Theorem:
Property,   

1st Term: local rate of change of momentum in CV
2nd Term: Net rate of momentum in and out of CV through CS.
3rd Term: material or partial –rate of change of momentum, and it may be seen as the external body-force or the source term for the generation of momentum by the external forces.

Mathematically,

Re-write