1. Kinetic Theory

2. Pressure Single molecule momentum change on wall collision:
Time between collisions on 1 wall:
Single molecule x force: vx l

3. Pressure n molecule x force: 2- and 3-D velocity magnitude:
Total force (both directions each axis):

4. Pressure Force on one out of 4 or 6 walls: RMS velocity: Force:2D 3D
Force on one out of 4 or 6 walls:
RMS velocity:
Force:
Pressure:

5. Ideal Gas Law

6. Maxwell-Boltzmann Distribution

7. D2Q9 Velocity Distributiona
|ea| wa
faeq (r=1)
4/9 1
1/9 2
All 4: 3 4 5 √2
1/36 6 7 8

8. D2Q9 Velocity Distribution
|ea|
feq
|ea|2feq
4/9 1 √2
1/9
2/9
vrms2
2/3

9. D2Q9 LBM