ASE 382R: Molecular Gas Dynamics-II

Advanced Kinetic Theory
Fall 2008
Course Page on UT e-reserves (Password Required)



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
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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).


Introduction to Physical Gas Dynamics, by W. G. Vincenti and C. H. Kruger, R. Krieger Publishing Company (1986 or later reprint).