ASE 382R:
Molecular Gas Dynamics-II
Advanced Kinetic Theory
Fall 2008
Course
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| Class meets: |
MWF 10:00-10:50, WRW 312 |
| Instructor: |
Prof. Philip L. Varghese |
| Office: |
WRW 314C |
| Telephone: |
Office: 471-3110
|
| E-Mail: |
Contact
me here
|
| Home page: |
http://www.ae.utexas.edu/~Varghese/ |
| Office Hours: |
Monday & Wednesday: 2--4 pm, Tuesday 10 am-noon, and by
appointment. |
Course description
After
a preliminary review of distribution functions we derive the Boltzmann
equation. The Maxwellian distribution is derived as the equilibrium
velocity
distribution and the Navier-Stokes equations are then shown to follow
for
non-equilibrium distributions. Flows with translational non-equilibrium
are
analyzed using the BGK approximation and the Chapman-Enskog expansion.
We will also consider direct numerical solution of the Boltzmann
equation for simple flow geometries.
Course Outline
1. Review
of computations with
distribution functions (2 weeks)
2. Non-equilibrium
kinetic theory (4 weeks)
3. Flow
with translational
non-equilibrium (6 weeks).
Text
Introduction to Physical Gas Dynamics, by W. G.
Vincenti
and C. H. Kruger, R. Krieger Publishing Company (1986 or later
reprint).