AAE590D: Molecular Gas Dynamics

Date	Topics	Reference
8/22	Molecular hypothesis. Elementary gas kinetic theory. Pressure. Avogadro's law. Temperature. Gas constants and molecular quantities.	Kennard, Ch. 1 (p. 1 -27)
8/24
8/29
8/31
9/ 5	Molecular collisions. Binary collision dynamics. Collision cross-section and scattering. Collision frequency and mean free path.	Bird, Ch. 2
9/7
9/12
9/14	Fluctuations. Poisson distribution of the number of molecules in a small volume.	Kennard, Ch. VII (p. 275-280)
9/19	The Boltzmann Equation: assumptions and derivation.	Bird, Ch. 3
9/21	The Boltzmann Equation: assumptions and derivation.	Bird, Ch. 3
9/26	Non-dimensional form of the Boltzmann equation. Similarity criteria.	Kogan, Ch. 2 (p. 99-104)
9/28	Moment transfer equation. H-theorem and equilibrium. Maxwell velocity distribution function. Gaussian integrals.	Bird, 3.3, 3.4 & 4.1.
10/3
10/5
10/10	No class (October break).
10/12	Conservation equations. Connection between BE and Euler, Navier-Stokes equations.	Bird, 3.3 (p. 55-61)
10/17	Midterm I
10/19	Equilibrium fluxes. Gas-surface interaction.	Bird, 4.2 Bird, 5.8
10/24	Free molecular aerodynamics. Professor Gustafson's talk.	Bird, Ch. 7
10/26	Introduction to DSMC. Pseudo random number generators.
10/31	Inverse-cumulative and acceptance-rejection sampling from a prescribed distribution.
11/2	DSMC procedure, requirements and algorithms. Parallel implementations
11/7	Collisional sampling in the DSMC: No-time-counter and majorant frequency.
11/9
11/14	Transport phenomena. Viscosity, thermal conductivity, diffusivity.
11/16
11/21
11/23	No class.Thanksgiving break.
11/28	Internal energy of molecules. Boltzmann distribution, partition function. Heat capacity of calorically imperfect gas.	Vincenti,IV.12
11/30	Internal energy relaxation and chemical reactions.	Bird, 5.3-7, 6.1-3
12/5	DSMC applications to high-altitude aerothermodynamics.
12/7	Discrete-ordinate method for solution of Boltzmann and model kinetic equations. Applications of kinetic methods to microflows.