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

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Presentation transcript:

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

© 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

© Fox, Pritchard, & McDonald Normal Shocks Control Volume

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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