Module 5: Reynolds Transport Theorem
  Lecture 15: Equation of motion
 
 

 (due to flow) = Differential force acting on

  = shear-stress normal stress
   
   
 

 F body force =   (due to gravity)

Newton’s 2nd law of motion can be applied on CV

 

or,  

or, 

Insert the expressions for    and simplify for an incompressible fluid