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1 Compressible Flows

2 Thermodynamics

3 Governing Equations

4 One-Dimensional Inviscid Flow

5 Oblique Shocks and Expansion Waves

5.1 Introduction 5.2 Oblique Shock Relations 5.3 The theta-beta-Mach Relation 5.4 The Shock Polar 5.5 Shock Reflection at a Solid Boundary 5.6 Shock Intersection 5.7 Pressure-Deflection Diagrams 5.8 Prandtl-Meyer Expansion Waves 5.9 Shock-Expansion Theory

6 Quasi-One-Dimensional Flow

7 Unsteady Waves

8 High-Temperature Effects

9 The Time-Marching Technique

10 Scale-Resolving Simulations

5.3 The theta-beta-Mach Relation

Chalmers University of Technology

Department of Mechanical Engineering

Division of Fluid Dynamics

graphical representation of the theta$-beta-Mach relation — Figure 5.7:Graphical representation of the $\theta$ - $\beta$ -Mach relation

wedge flow with wedge angle less than and larger than the maximum deflection angle — Figure 5.8:Wedge flow with wedge angle less than and larger than the maximum deflection angle

detached shocks ahead of blunt objects — Figure 5.9:Detached shocks ahead of blunt objects

Oblique Shock Relations

The Shock Polar

A deep dive into the amazing physics of high-speed gas flows

CFLOW
G3DFlow
Course on compressible flows

Niklas Andersson
Chalmers University of Technology
Department of Mechanical Engineering
Division of Fluid Dynamics