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Compressible Flow in Fluid Mechanics: Theory and Applications

Explore the fundamental equations and phenomena of compressible flow in fluid mechanics, covering isentropic flow, shocks, expansion waves, and nozzle configurations. Understand the laws of thermodynamics and property relations governing compressible fluids.

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Compressible Flow in Fluid Mechanics: Theory and Applications

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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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