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)
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.