Module 5: Reynolds Transport Theorem
  Lecture 15: Equation of motion
 
 
Therefore, for a 3D fluid-element, there are six shear stresses and 3 normal stresses

 
(Fig. 15e)
  • The stresses are represented as
It can be shown that shear stresses are symmetric: etc, at any location in the flow-field
  • The Newton’s law of viscosity relates shear-stress to velocity gradient via the viscosity of a fluid. For 1D flow of a Newtonian fluid,