Traditionally the rarefied gas dynamics deals with high altitude low density hypersonic aerodynamics involving satellite, reentry vehicles. Today, new technology developments such as manufacturing processes in microelectronics and flows in micro-devices (MEMS) require fluid theory based on kinetic theory due to the very small dimension (order of mm) of the object. In Part I, the fundamental aspect of kinetic theory and its related transport phenomena are introduced. In Part II, the Chapman-Enskog expansion theory is introduced to derive the Euler, Navier-Stokes equations and the Burnett equations. In Part III, numerical methods for solving the Boltzmann equation and model Boltzmann equations are described. This course thus will provide both a fundamental view of the fluid theory suitable for many advanced technology and a practical tool for simulating rarefied gas flows.

Course Contents
1. The Molecular Models
2. Binary Elastic Collisions
3. Basic Kinetic Theory of Gases
4. Equilibrium Gas Properties
5. Inelastic Collisions and Surface Interactions
6. Collisionless Flows
7. Analytical Methods for Transition Regime Flows
8. Numerical Methods for Transition Regime Flows
9. Kinetic Model Boltzmann Equations
10. Direct Simulation Monte Carlo Method
11. Applications to Satellite Aerodynamics and Microgeometric Flows
12. Applications to Vacuum Pumps and Plasma Processing in Microelectronic Industries
References:
1. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows. Oxford University Press, Oxford (1994).
2. W. G. Vincenti & C. H. Kruger (1965) Introduction to Physical Gas Dynamics, Wiley, New York.
3. S. Chapman & T. G. Cowling (1970) The Mathematical Theory of Non-uniform Gases (3rd edn). Cambridge University Press, UK.

Grading Policy: Homework 30%, Term Project: 30%, Final Exam. 40%