Module 5: Reynolds Transport Theorem
  Lecture 12: Conservation of mass and examples
 
 
The RHS of the above equation is the integral (over the entire cross-section) of the differential volumetric flow rate:
(Fig. 12d)
 
 
Or  Ans.
Apply the conservation law again over larger     to show that,
      
          Ans.
Further,  (for the 2nd section)  (for the 1st section)       
or,
Re-visit,  
or,   (volumetric flow rate)
or, ,  average velocity in the section
Compare to  to show that .