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

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1 Introduction to Fluid Mechanics Chapter 13 Compressible Flow

2 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 Basic Equations for One-Dimensional Compressible Flow Control Volume

4 Basic Equations for One-Dimensional Compressible Flow Continuity Momentum

5 Basic Equations for One-Dimensional Compressible Flow First Law of Thermodynamics Second Law of Thermodynamics

6 Basic Equations for One-Dimensional Compressible Flow Equation of State Property Relations

7 Isentropic Flow of an Ideal Gas Area Variation Basic Equations for Isentropic Flow

8 Isentropic Flow of an Ideal Gas Area Variation Isentropic Flow

9 Isentropic Flow of an Ideal Gas Area Variation Subsonic, Supersonic, and Sonic Flows

10 Isentropic Flow of an Ideal Gas Area Variation Reference Stagnation and Critical Conditions for Isentropic Flow

11 Isentropic Flow of an Ideal Gas Area Variation Property Relations

12 Isentropic Flow of an Ideal Gas Area Variation Isentropic Flow in a Converging Nozzle

13 Isentropic Flow of an Ideal Gas Area Variation Isentropic Flow in a Converging Nozzle

14 Isentropic Flow of an Ideal Gas Area Variation Isentropic Flow in a Converging-Diverging Nozzle

15 Isentropic Flow of an Ideal Gas Area Variation Isentropic Flow in a Converging-Diverging Nozzle

16 Flow in a Constant-Area Duct Control Volume with Friction

17 Flow in a Constant-Area Duct with Friction Basic Equations for Adiabatic Flow

18 Flow in a Constant-Area Duct with Friction Adiabatic Flow: The Fanno Line

19 Flow in a Constant-Area Duct with Friction Fanno-Line Flow Functions for One-Dimensional Flow of an Ideal Gas

20 Flow in a Constant-Area Duct with Friction Fanno-Line Relations

21 Flow in a Constant-Area Duct with Friction Fanno-Line Relations (Continued)

22 Frictionless Flow in a Constant- Area Duct with Heat Exchange Control Volume

23 Frictionless Flow in a Constant- Area Duct with Heat Exchange Basic Equations for Flow with Heat Exchange

24 Frictionless Flow in a Constant- Area Duct with Heat Exchange Heat Exchange: The Rayleigh Line

25 Frictionless Flow in a Constant- Area Duct with Heat Exchange Rayleigh-Line Relations

26 Control Volume Normal Shocks

27 Normal Shocks Basic Equations for a Normal Shock

28 Normal Shocks Intersection of Fanno & Rayleigh Lines

29 Normal Shocks Normal Shock Relations

30 Normal Shocks Normal Shock Relations (Continued)

31 Supersonic Channel Flow with Shocks Flow in a Converging-Diverging Nozzle

32 Oblique Shocks and Expansion Waves Typical Application

33 Oblique Shocks and Expansion Waves Mach Angle and Oblique Shock Angle

34 Oblique Shocks and Expansion Waves Oblique Shock: Control Volume

35 Oblique Shocks and Expansion Waves Oblique Shock: Useful Formulas

36 Oblique Shocks and Expansion Waves Oblique Shock Relations

37 Oblique Shocks and Expansion Waves Oblique Shock Relations (Continued)

38 Oblique Shocks and Expansion Waves Oblique Shock: Deflection Angle

39 Oblique Shocks and Expansion Waves Oblique Shock: Deflection Angle

40 Oblique Shocks and Expansion Waves Expansion and Compression Waves

41 Oblique Shocks and Expansion Waves Expansion Wave: Control Volume

42 Oblique Shocks and Expansion Waves Expansion Wave: Prandtl-Meyer Expansion Function

43 Oblique Shocks and Expansion Waves Expansion Wave: Isentropic Relations

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