# AER1301: Kinetic Theory of Gases

Instructor: Professor C. P. T. Groth

University of Toronto Institute for Aerospace Studies (UTIAS)

Phone: (416) 667-7715

E-mail: groth@utias.utoronto.ca

Home page:
http://arrow.utias.utoronto.ca/~groth/

Course URL:
http://arrow.utias.utoronto.ca/~groth/aer1301

## Course Description

**Introductory discussion of significant length dimensions**;
different flow regimes, continuum, transition, collision-free; brief
history of gas kinetic theory. **Equilibrium kinetic theory**; the particle
distribution function; Maxwell-Boltzmann distribution. **Collision dynamics**;
collision frequency and mean free path. **Elementary transport theory**;
transport coefficients; mean free path method. **Boltzmann equation**; derivation;
Boltzmann H-theorem; collision operators. **Generalized transport theory**;
Maxwell's equations of change; approximate solution techniques, Chapman-Enskog
perturbative and Grad series expansion methods; moment closures; derivation of the
Euler and Navier-Stokes equations; higher-order closures. **Free molecular
aerodynamics**. **Shock waves**.

## Textbook

*Gaskinetic Theory*, by T. I. Gombosi,
Cambridge University Press, 1994.

## Lectures

**Mondays**, 2:00 pm - 5:00 pm, UTIAS Lecture Hall,
September 10 - December 17, 2018.

## Assignments

There will be four assignments:

**Assignment #1**: Due: Monday, October 15, 2018.**Assignment #2**: Due: Monday, November 12, 2018.**Assignment #3**: Due: Monday, December 3, 2018.**Assignment #4**: Due: Friday, December 14, 2018.

## Marks

The final grade is a composite of the following weighted items:

60% for the four assignments; and

40% for a final exam (3 hrs, December 17, 2018).