compressible flow

© Fox, Pritchard, & McDonald

Introduction to Fluid Mechanics

Chapter 13

Compressible Flow


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


Basic Equations forOne-Dimensional Compressible Flow

Control Volume



Continuity

Momentum



Second Law of Thermodynamics

First Law of Thermodynamics



Property Relations

Equation of State


Isentropic Flow of an Ideal Gas– Area Variation

Basic Equations for Isentropic Flow



Isentropic Flow



Subsonic, Supersonic, and Sonic Flows



Reference Stagnation and Critical Conditions for Isentropic Flow



Property Relations



Isentropic Flow in a Converging Nozzle



Isentropic Flow in aConverging-Diverging Nozzle


Flow in a Constant-Area Duct with Friction

Control Volume



Basic Equations for Adiabatic Flow



Adiabatic Flow: The Fanno Line



Fanno-Line Flow Functions forOne-Dimensional Flow of an Ideal Gas



Fanno-Line Relations



Fanno-Line Relations (Continued)


Frictionless Flow in a Constant-Area Duct with Heat Exchange

Control Volume



Basic Equations for Flow with Heat Exchange



Heat Exchange: The Rayleigh Line



Rayleigh-Line Relations


Normal Shocks

Control Volume


Normal ShocksBasic Equations for a Normal Shock


Normal Shocks

Intersection of Fanno & Rayleigh Lines


Normal Shocks

Normal Shock Relations


Normal Shocks

Normal Shock Relations (Continued)


Supersonic Channel Flowwith Shocks

Flow in a Converging-Diverging Nozzle


Oblique Shocks andExpansion Waves

Typical Application



Mach Angle and Oblique Shock Angle



Oblique Shock: Control Volume



Oblique Shock: Useful Formulas



Oblique Shock Relations



Oblique Shock Relations (Continued)



Oblique Shock: Deflection Angle



Expansion and Compression Waves



Expansion Wave: Control Volume



Expansion Wave:Prandtl-Meyer Expansion Function



Expansion Wave: Isentropic Relations

compressible flow

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