1. Applications of Navier-Stokes Equations
Aula teória 12
Applications of Navier-Stokes Equations

2. Film over a plane surfaceX2 X1

3. Boundary conditions:
Null velocity at the bottom (x2=0)
null friction at the surface (x2=h)

4. Why h cubic?

5. The Couette Flow
Is the flow between two parallel plates, with relative velocity and with or without pressure gradient.

6. Boundary conditions
u=U0 at y=h,
u=0 at y=0

8. A negative pressure gradient implies a parabolic velocity profile, contributing for a positive velocity,
A positive pressure gradient implies a parabolic velocity profile, contributing for a negative velocity,
A plate velocity contributes with a linear profile. The resulting velocity profile is: + =

9. (da sebenta de Mec. Fluidos I)