NTU543 M6360 – IDEAL QUANTUM GAS DYNAMICS

Professor Jaw-Yen Yang; Office: Room 315; yangjy@iam.ntu.edu.tw

The classical gas dynamics is an important and well known subject which is based on Newton mechanics and thermodynamics. In modern development of science and technology, one may encounter transport phenomena involving wider classes of transport carriers such as electrons, photons and phonons. For those quantum particles, the gas dynamics must rely on equilibrium quantum statistics. The generalization of the classical gas dynamics to quantum gas is not only of theoretical importance but also crucial for modern nanotechnology applications. This course emphasizes on theoretical and computational aspects of the quantum gas dynamics. Some background in classical gas dynamics and statistical thermodynamics will be helpful. Introduction to several state-of-the-art kinetic numerical methods is also provided. Approximate Riemann solvers and kinetic flux vector splitting and beam schemes will be covered. Emphasis is also placed upon modern applications in nanoscience and technology including fluid flow and heat transfer in micro-/nano-scale.

Topics to be covered include:

1. Basic Concepts
2. Review of Classical Gas Dynamics
3. Statistical Thermodynamics
4. Semiclassical Kinetic Theory of Gases
5. Ideal Quantum Gas
6. Ideal Quantum Gas Dynamics
7. Equilibrium Gas Flow
8. Free-molecular Flow
9. Computational Methods for Quantum Gas Dynamics
10. Application to Micro-/Nano-scale Flows

Grading policy: Homeworks 40%; Mid-Term Exam. 30%; Final Exam. 30%
Lecture notes will be provided. Other reference books:

G. Chen (2005) Nanoscale Energy Transfer, Oxford University Press.
W.G. Vincenti, and C.H. Kruger (1975) Introduction to physical gas dynamics. Wiley, New York.
G. A. Bird, (1994) Molecular gas dynamics, direct simulation Monte Carlo method. Oxford University Press.
C. B. Laney (1998) Computational Gasdynamics. Cambridge University Press.