1. © Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 13 Compressible Flow

2. © Fox, Pritchard, & McDonald Main Topics Basic Equations for One-Dimensional Compressible Flow Isentropic Flow of an Ideal Gas – Area Variation Flow in a Constant Area Duct with Friction Frictionless Flow in a Constant-Area Duct with Heat Exchange Normal Shocks Supersonic Channel Flow with Shocks Oblique Shocks and Expansion Waves

3. © Fox, Pritchard, & McDonald Basic Equations for One-Dimensional Compressible Flow Control Volume

4. © Fox, Pritchard, & McDonald Basic Equations for One-Dimensional Compressible Flow Continuity Momentum

5. © Fox, Pritchard, & McDonald Basic Equations for One-Dimensional Compressible Flow Second Law of Thermodynamics First Law of Thermodynamics

6. © Fox, Pritchard, & McDonald Basic Equations for One-Dimensional Compressible Flow Property Relations Equation of State

7. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Basic Equations for Isentropic Flow

8. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Isentropic Flow

9. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Subsonic, Supersonic, and Sonic Flows

10. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Reference Stagnation and Critical Conditions for Isentropic Flow

11. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Property Relations

12. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Isentropic Flow in a Converging Nozzle

13. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Isentropic Flow in a Converging Nozzle

14. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Isentropic Flow in a Converging-Diverging Nozzle

15. © Fox, Pritchard, & McDonald Isentropic Flow of an Ideal Gas – Area Variation Isentropic Flow in a Converging-Diverging Nozzle

16. © Fox, Pritchard, & McDonald Flow in a Constant-Area Duct with Friction Control Volume

17. © Fox, Pritchard, & McDonald Flow in a Constant-Area Duct with Friction Basic Equations for Adiabatic Flow

18. © Fox, Pritchard, & McDonald Flow in a Constant-Area Duct with Friction Adiabatic Flow: The Fanno Line

19. © Fox, Pritchard, & McDonald Flow in a Constant-Area Duct with Friction Fanno-Line Flow Functions for One-Dimensional Flow of an Ideal Gas

20. © Fox, Pritchard, & McDonald Flow in a Constant-Area Duct with Friction Fanno-Line Relations

21. © Fox, Pritchard, & McDonald Flow in a Constant-Area Duct with Friction Fanno-Line Relations (Continued)

22. © Fox, Pritchard, & McDonald Frictionless Flow in a Constant- Area Duct with Heat Exchange Control Volume

23. © Fox, Pritchard, & McDonald Frictionless Flow in a Constant- Area Duct with Heat Exchange Basic Equations for Flow with Heat Exchange

24. © Fox, Pritchard, & McDonald Frictionless Flow in a Constant- Area Duct with Heat Exchange Heat Exchange: The Rayleigh Line

25. © Fox, Pritchard, & McDonald Frictionless Flow in a Constant- Area Duct with Heat Exchange Rayleigh-Line Relations

26. © Fox, Pritchard, & McDonald Normal Shocks Control Volume

27. © Fox, Pritchard, & McDonald Normal Shocks Basic Equations for a Normal Shock

28. © Fox, Pritchard, & McDonald Normal Shocks Intersection of Fanno & Rayleigh Lines

29. © Fox, Pritchard, & McDonald Normal Shocks Normal Shock Relations

30. © Fox, Pritchard, & McDonald Normal Shocks Normal Shock Relations (Continued)

31. © Fox, Pritchard, & McDonald Supersonic Channel Flow with Shocks Flow in a Converging-Diverging Nozzle

32. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Typical Application

33. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Mach Angle and Oblique Shock Angle

34. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Oblique Shock: Control Volume

35. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Oblique Shock: Useful Formulas

36. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Oblique Shock Relations

37. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Oblique Shock Relations (Continued)

38. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Oblique Shock: Deflection Angle

39. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Oblique Shock: Deflection Angle

40. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Expansion and Compression Waves

41. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Expansion Wave: Control Volume

42. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Expansion Wave: Prandtl-Meyer Expansion Function

43. © Fox, Pritchard, & McDonald Oblique Shocks and Expansion Waves Expansion Wave: Isentropic Relations