Module 2: Fluid Statics
  Lecture 3: Pascal's theorem, Basic equation
 
 
  • Pascal's Theorem-Pressure at any point within a static fluid is the same in all directions. Let us prove it. Consider a triangular fluid element ABC in a 2-D(x-z) scenario. Pressure acts on all 3-faces of the element inward and normal to the surface.
 
(Fig. 3d)
(Fig. 3e)
 
 

Force balance:

Taking limit