ASE 382R: Molecular Gas Dynamics-II

Advanced Kinetic Theory
Spring 2007 Course Page on UT e-reserves (Password Required)

Postings

Class meets:	MWF 9:00-9:50, 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:	M-W: 1:30-3:00 pm, 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).