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Introduction to Fluid Mechanics

Introduction to Fluid Mechanics. Chapter 13 Compressible Flow. 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

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Introduction to Fluid Mechanics

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  1. Introduction to Fluid Mechanics Chapter 13 Compressible Flow

  2. Main Topics • Basic Equations forOne-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 forOne-Dimensional Compressible Flow • Control Volume

  4. Basic Equations forOne-Dimensional Compressible Flow • Continuity • Momentum

  5. Basic Equations forOne-Dimensional Compressible Flow • First Law of Thermodynamics • Second Law of Thermodynamics

  6. Basic Equations forOne-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 aConverging-Diverging Nozzle

  15. Isentropic Flow of an Ideal Gas– Area Variation • Isentropic Flow in aConverging-Diverging Nozzle

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

  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 forOne-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. Normal Shocks • Control Volume

  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 Flowwith Shocks • Flow in a Converging-Diverging Nozzle

  32. Oblique Shocks andExpansion Waves • Typical Application

  33. Oblique Shocks andExpansion Waves • Mach Angle and Oblique Shock Angle

  34. Oblique Shocks andExpansion Waves • Oblique Shock: Control Volume

  35. Oblique Shocks andExpansion Waves • Oblique Shock: Useful Formulas

  36. Oblique Shocks andExpansion Waves • Oblique Shock Relations

  37. Oblique Shocks andExpansion Waves • Oblique Shock Relations (Continued)

  38. Oblique Shocks andExpansion Waves • Oblique Shock: Deflection Angle

  39. Oblique Shocks andExpansion Waves • Oblique Shock: Deflection Angle

  40. Oblique Shocks andExpansion Waves • Expansion and Compression Waves

  41. Oblique Shocks andExpansion Waves • Expansion Wave: Control Volume

  42. Oblique Shocks andExpansion Waves • Expansion Wave:Prandtl-Meyer Expansion Function

  43. Oblique Shocks andExpansion Waves • Expansion Wave: Isentropic Relations

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