Module 3: "Thin Film Hydrodynamics"
  Lecture 11: ""
 

 

Using the continuity equation,

We will use this equation to find the normal component of the velocity.

Substrate (a solid) is impermeable, therefore

(3.7)


 

Conservative form of the equation
(3.8)

This is also the governing equation for the film thickness.

Conservative form is more suitable for solving this problem numerically.