Compressible Fluid Dynamics

Lecture Notes

LEC #

TOPICS

LECTURE NOTES

1

Mass Conservation, Euler's Equation

Sound Speed, Mach Number

(PDF)

2

Thermo

Ideal Gases

Steady Isentropic Flow, Stagnation State

(PDF)

3

Variable Area Flow, Choked Flow, Subsonic and Supersonic Nozzles, Restrictors

(PDF)

4

Energy Equation

Entropy Equation

Flow with Fricton, Fanno Line

(PDF)

5

Flow with Heat Addition, Rayleigh Line

Shock Waves: Conservation Relations

(PDF)

6

Hugoniot Relation, Normal Shocks, Moving Shocks, Weak and Strong Shocks

(PDF)

7

Oblique Shocks

Detonations

(PDF)

8

Continuum Shock Wave Structure

Condensation Discontinuities

Unsteady 1D Flows: Finite Amplitude Waves, Characteristics, Riemann Invariants

(PDF)

9

Piston Problems, Boundary Interactions, Shock Tubes

(PDF)

10

Steady 2D Supersonic Flows: Mach Waves, Prandtl-Meyer Function, Expansion Fans

(PDF)

11-12

Term Paper Presentations

Assignments

Problem Set 1 (PDF)
Problem Set 2 (PDF)
Problem Set 3 (PDF)
Final Project Assignment (PDF)

A representative final project
"Similarity Transformation Methods in the Analysis of the Two Dimensional Steady Compressible Laminar Boundary Layer," by Yeunwoo Cho and Angelica Aessopos (PDF) (Courtesy of Yeunwoo Cho. Used with permission.)