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
Quasi-1D flow (part I): governing equations and fundamental relations
Lecture 8 Chapter 5
Quasi-1D 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 non-linear 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 high-temperature gases (selected parts)
Lecture 16 Chapter 17
High-temperature 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
One-dimensional, steady flow
Speed of sound Derivation of speed of sound using the governing equations for one-dimensional compressible flows
Normal shock relations Details on the derivation of the normal shock relations (one-dimensional steady-state 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 one-dimensional flow with heat addition
Flow with friction Details on the derivation of the relations for one-dimensional flow with friction
Fanno flow equation Details on the derivation of the momentum equation for Fanno flows.
Additional Lecture Material
Expansion Waves
Prandtl-Meyer function Details on the derivation of the Prandtl-Meyer function
Expansion wave relations Details on the derivation of the expansion wave relations
Additional Lecture Material
Quasi-one-dimensional Flow
Quasi-one-dimensional equations Details on the derivation of the governing equations for quasi-one-dimensional flow
Area-velocity relation Derivation of the area-velocity relation
Area-Mach-number relation Derivation of the area-Mach-number 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 non-linear waves Details on the derivation of the traveling expansion wave relations.
Acoustic wave propagation Details on the derivation of the acoustic wave equation.