© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 13 Compressible Flow
Fluid Mechanics
Oct 29, 2014
gives info on compressible flow and its aspects
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© Fox, Pritchard, & McDonald
Introduction to Fluid Mechanics
Chapter 13
Compressible Flow
© Fox, Pritchard, & McDonald
Main TopicsBasic Equations for
One-Dimensional Compressible Flow Isentropic Flow of an Ideal Gas
– Area VariationFlow in a Constant Area Duct with FrictionFrictionless Flow in a Constant-Area Duct with
Heat ExchangeNormal ShocksSupersonic Channel Flow with ShocksOblique Shocks and Expansion Waves
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Basic Equations forOne-Dimensional Compressible Flow
Control Volume
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Basic Equations forOne-Dimensional Compressible Flow
Continuity
Momentum
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Basic Equations forOne-Dimensional Compressible Flow
Second Law of Thermodynamics
First Law of Thermodynamics
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Basic Equations forOne-Dimensional Compressible Flow
Property Relations
Equation of State
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Isentropic Flow of an Ideal Gas– Area Variation
Basic Equations for Isentropic Flow
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Isentropic Flow of an Ideal Gas– Area Variation
Isentropic Flow
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Isentropic Flow of an Ideal Gas– Area Variation
Subsonic, Supersonic, and Sonic Flows
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Isentropic Flow of an Ideal Gas– Area Variation
Reference Stagnation and Critical Conditions for Isentropic Flow
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Isentropic Flow of an Ideal Gas– Area Variation
Property Relations
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Isentropic Flow of an Ideal Gas– Area Variation
Isentropic Flow in a Converging Nozzle
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Isentropic Flow of an Ideal Gas– Area Variation
Isentropic Flow in a Converging Nozzle
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Isentropic Flow of an Ideal Gas– Area Variation
Isentropic Flow in aConverging-Diverging Nozzle
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Isentropic Flow of an Ideal Gas– Area Variation
Isentropic Flow in aConverging-Diverging Nozzle
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Flow in a Constant-Area Duct with Friction
Control Volume
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Flow in a Constant-Area Duct with Friction
Basic Equations for Adiabatic Flow
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Flow in a Constant-Area Duct with Friction
Adiabatic Flow: The Fanno Line
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Flow in a Constant-Area Duct with Friction
Fanno-Line Flow Functions forOne-Dimensional Flow of an Ideal Gas
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Flow in a Constant-Area Duct with Friction
Fanno-Line Relations
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Flow in a Constant-Area Duct with Friction
Fanno-Line Relations (Continued)
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Frictionless Flow in a Constant-Area Duct with Heat Exchange
Control Volume
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Frictionless Flow in a Constant-Area Duct with Heat Exchange
Basic Equations for Flow with Heat Exchange
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Frictionless Flow in a Constant-Area Duct with Heat Exchange
Heat Exchange: The Rayleigh Line
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Frictionless Flow in a Constant-Area Duct with Heat Exchange
Rayleigh-Line Relations
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Normal Shocks
Control Volume
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Normal ShocksBasic Equations for a Normal Shock
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Normal Shocks
Intersection of Fanno & Rayleigh Lines
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Normal Shocks
Normal Shock Relations
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Normal Shocks
Normal Shock Relations (Continued)
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Supersonic Channel Flowwith Shocks
Flow in a Converging-Diverging Nozzle
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Oblique Shocks andExpansion Waves
Typical Application
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Oblique Shocks andExpansion Waves
Mach Angle and Oblique Shock Angle
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Oblique Shocks andExpansion Waves
Oblique Shock: Control Volume
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Oblique Shocks andExpansion Waves
Oblique Shock: Useful Formulas
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Oblique Shocks andExpansion Waves
Oblique Shock Relations
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Oblique Shocks andExpansion Waves
Oblique Shock Relations (Continued)
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Oblique Shocks andExpansion Waves
Oblique Shock: Deflection Angle
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Oblique Shocks andExpansion Waves
Oblique Shock: Deflection Angle
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Oblique Shocks andExpansion Waves
Expansion and Compression Waves
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Oblique Shocks andExpansion Waves
Expansion Wave: Control Volume
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Oblique Shocks andExpansion Waves
Expansion Wave:Prandtl-Meyer Expansion Function
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Oblique Shocks andExpansion Waves
Expansion Wave: Isentropic Relations
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