Documents
Course Documents  
Formulas, Tables & Graphs  A collection of formulas, tables, and graphs needed for solving the problems and assignments in the course. This document will be provided at the written exam.  
Study Guide  Reading instructions and a collection of theory questions that give a good representation of the theory covered in the course. The theoretical part of the written exam will include questions from this document either as is or in slightly modified form.  
Lecture Notes  
Lecture 1  Chapter 1 Compressibility, thermodynamics review 

Lecture 2  Chapter 2 Conservation laws (integral form) 

Lecture 3  Chapter 3 1D isentropic flow, normal shocks 

Lecture 4  Chapter 3 1D flow with heat addition or friction 

Lecture 5  Chapter 4 2D flow (part I): oblique shocks, shock reflection 

Lecture 6  Chapter 4 2D flow (part II): expansion fans, shock expansion theory 

Lecture 7 
Chapter 5 Quasi1D flow (part I): governing equations and fundamental relations 

Lecture 8  Chapter 5 Quasi1D flow (part II): nozzles and diffusers 

Lecture 9  Chapter 6 Alternative forms of the flow equations 

Lecture 10  Chapter 7 1D unsteady flow (part I): moving normal shock waves 

Lecture 11  Chapter 7 1D unsteady flow (part II): reflected shock waves 

Lecture 12  Chapter 7 1D unsteady flow (part III): elements of acoustic theory and finite nonlinear waves 

Lecture 13  Chapter 12 Time marching numerical methods (part I): spatial discretization and numerical schemes 

Lecture 14  Chapter 12 Time marching numerical methods (part II): time integration and boundary conditions 

Lecture 15  Chapter 16 Properties of hightemperature gases (selected parts) 

Lecture 16  Chapter 17 Hightemperature flows (selected parts) 

Compressible Flow Lecture Series  
Lecture Series  All lecture notes in one document. Note that this is a large document (700+ slides, 30Mb) the printer friendly version (link to the right) does not include large images and movies, which means that the file size is reduced significantly (~4Mb)  
Additional Lecture Material Basic Concepts 

Compressibibility  Discussion on compressible effects  
Isentropic relations  Derivation of the isentropic relations  
Specific heat  Derivation of the specific heat relations  
Additional Lecture Material Governing equations 

Integral form  Derivation of the governing equations on integral form  
Differential form  Derivation of the governing equations on partial differential form  
Alternative forms of the energy equation  Details on the derivation of different versions of the energy equation  
The entropy equation  Derivation of the entropy equation  
Crocco's equation  Details on the derivation of Crocco's equation  
Additional Lecture Material Onedimensional, steady flow 

Speed of sound  Derivation of speed of sound using the governing equations for onedimensional compressible flows  
Normal shock relations  Details on the derivation of the normal shock relations (onedimensional steadystate flow)  
Huguniot equation  Derivation of the Hugoniot equation  a relation of thermodynamic properties over a normal shock  
Flow with heat addition  Details on the derivation of the relations for onedimensional flow with heat addition  
Flow with friction  Details on the derivation of the relations for onedimensional flow with friction  
Fanno flow equation  Details on the derivation of the momentum equation for Fanno flows.  
Additional Lecture Material Expansion Waves 

PrandtlMeyer function  Details on the derivation of the PrandtlMeyer function  
Expansion wave relations  Details on the derivation of the expansion wave relations  
Additional Lecture Material Quasionedimensional Flow 

Quasionedimensional equations  Details on the derivation of the governing equations for quasionedimensional flow  
Areavelocity relation  Derivation of the areavelocity relation  
AreaMachnumber relation  Derivation of the areaMachnumber relation  
Choked nozzle flow  Derivation of the expression for calculation of choked nozzle massflow  
Additional Lecture Material Unsteady Wave Motion 

Moving shock relations  Details on the derivation of the moving shock relations  
Mach number of reflected moving shock  Details on the derivation of the relation between incident and reflected shock Mach number.  
Finite nonlinear waves  Details on the derivation of the traveling expansion wave relations.  
Acoustic wave propagation  Details on the derivation of the acoustic wave equation. 