Elements of Gas Dynamics

ISBN-10: 0486419630
ISBN-13: 9780486419633
Edition: 2001
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Book details

List price: $32.95
Copyright year: 2001
Publisher: Dover Publications, Incorporated
Publication date: 1/11/2002
Binding: Paperback
Pages: 464
Size: 5.25" wide x 8.75" long x 1.00" tall
Weight: 0.990
Language: English

Concepts from Thermodynamics
Introduction
Thermodynamic Systems
Variables of State
The First Principal Law
Irreversible and Reversible Processes
Perfect Gases
The First Law Applied to Reversible Processes. Specific Heats
The First Law Applied to Irreversible Processes
The Concept of Entropy. The Second Law
The Canonical Equation of State. Free Energy and Free Enthalpy
Reciprocity Relations
Entropy and Transport Processes
Equilibrium Conditions
Mixtures of Perfect Gases
The Law of Mass Action
Dissociation
Condensation
Real Gases in Gasdynamics
One-Dimensional Gasdynamics
Introduction
The Continuity Equation
The Energy Equation
Reservoir Conditions
Euler's Equation
The Momentum Equation
Isentropic Conditions
Speed of Sound; Mach Number
The Area-Velocity Relation
Results from the Energy Equation
Bernoulli Equation; Dynamic Pressure
Flow at Constant Area
The Normal Shock Relations for a Perfect Gas
One-Dimensional Wave Motion
Introduction
The Propagating Shock Wave
One-Dimensional Isentropic Equations
The Acoustic Equations
Propagation of Acoustic Waves
The Speed of Sound
Pressure and Particle Velocity in a Sound Wave
"Linearized" Shock Tube
Isentropic Waves of Finite Amplitude
Propagation of Finite Waves
Centered Expansion Wave
The Shock Tube
Waves in Supersonic Flow
Introduction
Oblique Shock Waves
Relation Between [beta] and [theta]
Supersonic Flow over a Wedge
Mach Lines
Piston Analogy
Weak Oblique Shocks
Supersonic Compression by Turning
Supersonic Expansion by Turning
The Prandtl-Meyer Function
Simple and Nonsimple Regions
Reflection and Intersection of Oblique Shocks
Intersection of Shocks of the Same Family
Detached Shocks
Mach Reflection
Shock-Expansion Theory
Thin Airfoil Theory
Flat Lifting Wings
Drag Reduction
The Hodograph Plane
Cone in Supersonic Flow
Flow in Ducts and Wind Tunnels
Introduction
Flow in Channel of Varying Area
Area Relations
Nozzle Flow
Normal Shock Recovery
Effects of Second Throat
Actual Performance of Wind Tunnel Diffusers
Wind Tunnel Pressure Ratio
Supersonic Wind Tunnels
Wind Tunnel Characteristics
Compressor Matching
Other Wind Tunnels and Testing Methods
Methods of Measurement
Introduction
Static Pressure
Total Pressure
Mach Number from Pressure Measurements
Wedge and Cone Measurements
Velocity
Temperature and Heat Transfer Measurements
Density Measurements
Index of Refraction
Schlieren System
The Knife Edge
Some Practical Considerations
The Shadow Method
Interference Method
Mach-Zehnder Interferometer
Interferometer Techniques
X-Ray Absorption and Other Methods
Direct Measurement of Skin Friction
Hot-Wire Probe
Shock Tube Instrumentation
The Equations of Frictionless Flow
Introduction
Notation
The Equation of Continuity
The Momentum Equation
The Energy Equation
The Eulerian Derivative
Splitting the Energy Equation
The Total Enthalpy
Natural Coordinates. Crocco's Theorem
Relation of Vorticity to Circulation and Rotation
The Velocity Potential
Irrotational Flow
Remarks on the Equations of Motion
Small-Perturbation Theory
Introduction
Derivation of the Pertubation Equations
Pressure Coefficient
Boundary Conditions
Two-Dimensional Flow Past a Wave-Shaped Wall
Wavy Wall in Supersonic Flow
Supersonic Thin Airfoil Theory
Planar Flows
Bodies of Revolution. Slender Body Theory
Introduction
Cylindrical Coordinates
Boundary Conditions
Pressure Coefficient
Axially Symmetric Flow
Subsonic Flow
Supersonic Flow
Velocities in the Supersonic Field
Solution for A Cone
Other Meridian Shapes
Solution for Slender Cone
Slender Body Drag
Yawed Body of Revolution in Supersonic Flow
Cross-Flow Boundary Conditions
Cross-Flow Solutions
Cross Flow for Slender Bodies of Revolution
Lift of Slender Bodies of Revolution
Slender Body Theory
Rayleigh's Formula
The Similarity Rules of High-Speed Flow
Introduction
Two-Dimensional Linearized Flow. Prandtl-Glauert and Gothert Rules
Two-Dimensional Transonic Flow. von Karman's Rules
Linearized Axially Symmetric Flow
Planar Flow
Summary and Application of the Similarity Laws
High Mach Numbers. Hypersonic Similarity
Transonic Flow
Introduction
Definition of the Transonic Range
Transonic Flow Past Wedge Sections
Transonic Flow Past A Cone
Transonic Flow Past Smooth Two-Dimensional Shapes. The Question of Shock-Free Flow
The Hodograph Transformation of the Equations
The Method of Characteristics
Introduction
Hyperbolic Equations
The Compatibility Relation
The Computation Method
Interior and Boundary Points
Axially Symmetric Flow
Nonisentropic Flow
Theorems about Plane Flow
Computation with Weak, Finite Waves
Interaction of Waves
Design of Supersonic Nozzles
Comparison of Characteristics and Waves
Effects of Viscosity and Conductivity
Introduction
Couette Flow
Recovery Temperature
Velocity Distribution in Couette Flow
Rayleigh's Problem. The Diffusion of Vorticity
The Boundary-Layer Concept
Prandtl's Equations for a Flat Plate
Characteristic Results from the Boundary-Layer Equation
The Displacement Effect of the Boundary Layer. Momentum and Energy Integrals
Change of Variables
Boundary Layers on Profiles Other than a Flat Plate
Flow through a Shock Wave
The Navier-Stokes Equations
The Turbulent Boundary Layer
Boundary-Layer Effects on the External Flow Field
Shock-Wave Boundary-Layer Interaction
Turbulence
Couette Flow of a Dissociating Gas
Concepts from Gaskinetics
Introduction
Probability Concepts
Distribution Functions
The Virial Theorem of Clausius
The Equation of State of a Perfect Gas
The Maxwell-Boltzmann Distribution
The Specific Heats of Gases
Molecular Collisions. Mean Free Path and Relaxation Times
Shear Viscosity and Heat Conduction
Couette Flow of a Highly Rarefied Gas
The Concepts of Slip and Accommodation
Relaxation Effects of the Internal Degrees of Freedom
The Limit of Continuum Theory
Exercises
Selected References
Tables
Critical Data and Characteristic Temperatures for Several Gases
Flow Parameters versus M for Subsonic Flow
Flow Parameters versus M for Supersonic Flow
Parameters for Shock Flow
Mach Number and Mach Angle versus Prandtl-Meyer Function
Charts
Oblique Shock Chart
Oblique Shock Chart
Appendix
Index

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