Module 2: Fluid Statics
  Lecture 4: Basic equation: derivation, pressure variation in an incompressible fluid
 
 
  • Engineering calculations based on the fluid static equation

  1. Pressure variation in an incompressible fluid

 

Integrating,

 
(Fig. 4b)

Therefore, pressure decreases lineally with altitude, or increases with depth in the fluid

(Fig. 4c)

or,

(Fig. 4d)

(, where is the depth of the fluid measured from the top )