First-rate text covers introductory concepts from thermodynamics, one-dimensional gas dynamics and one-dimensional wave motion, waves in supersonic flow, flow in ducts and wind tunnels, methods of measurement, the equations of frictionless flow, small-perturbation theory, transonic flow, and much more. For advanced undergraduate or graduate physics and engineering students with at least a working knowledge of calculus and basic physics. Exercises demonstrate application of material in text.

Table of Contents for Elements of Gas Dynamics

Chapter I. Concepts from thermodynamics
1.1 Introduction
1.2 Thermodynamic Systems
1.3 Variables of state
1.4 The first principal law
1.5 Irreversible and reversible processes
1.6 Perfect Gases
1.7 The first Law applied to reversible processes. Specific Heats
1.8 The first Law applied to irreversible processes
1.9 The concept of Entropy. The Second Law
1.10 The Canonical equation of state. Free energy and free enthalpy
1.11 Reciprocity relations
1.12 Entropy and transport processes
1.13 Equilibrium conditions
1.14 Mixtures of perfect gases
1.15 The law of mass action
1.16 Dissociation
1.17 Condensation
1.18 Real Gases in Gasdynamics
Chapter 2. One-dimensional gasdynamics
2.1 Introduction
2.2 The continuity equation
2.3 The energy equation
2.4 Reservoir conditions
2.5 Euler's equation
2.6 The momentum equation
2.7 Isentropic conditions
2.8 Speed of sound; mach number
2.9 The Area-velocity relation
2.10 Results from the energy equation
2.11 Bernoulli equation; dynamic pressure
2.12 Flow at constant Area
2.13 The normal shock relations for a perfect Gas
Chapter 3. One-dimensional Wave motion
3.1 Introduction
3.2 The propagating shock wave
3.3 One-dimensional isentropic equations
3.4 The Acoustic equations
3.5 Propagation of Acoustic Waves
3.6 The speed of sound
3.7 Pressure and Particle Velocity in a sound wave
3.8 "Linearized" shock tube
3.9 Isentropic Waves of Finite Amplitude
3.10 Propagation of Finite Waves
3.11 Centered Expansion Wave
3.12 The Shock Tube
Chapter 4. Waves in supersonic flow
4.1 Introduction
4.2 Oblique shock waves
4.3 Relation between beta and theta
4.4 Supersonic flow over a wedge
4.5 Mach lines
4.6 Piston analogy
4.7 Weak oblique shocks
4.8 Supersonic compression by turning
4.9 Supersonic expansion by turning
4.10 The Prandtl-Meyer function
4.11 Simple and nonsimple regions
4.12 Reflection and intersection of oblique shocks
4.13 Intersection of Shocks of the same family
4.14 Detached shocks
4.15 Mach reflection
4.16 Shock-expansion theory
4.17 Thin airfoil theory
4.18 Flat lifting wings
4.19 Drag reduction
4.20 The Hodograph
4.21 Cone in supersonic flow
Chapter 5. Flow in ducts and wind tunnels
5.1 Introduction
5.2 Flow in Channel of Varying Area
5.3 Area Relations
5.4 Nozzle Flow
5.5 Normal Shock recovery
5.6 Effects of second throat
5.7 Actual performance of wind tunnel diffusers
5.8 Wind tunnel pressure ratio
5.9 Supersonic wind tunnels
5.10 Wind tunnel Characteristics
5.11 Compressor Matching
5.12 Other wind tunnels and testing methods
Chapter 6. Methods of measurement
6.1 Introduction
6.2 Static pressure
6.3 Total pressure
6.4 Mach number from pressure measurements
6.5 Wedge and cone measurements
6.6 Velocity
6.7 Temperature and Heat transfer measurements
6.8 Density measurements
6.9 Index of refraction
6.10 Schlieren system
6.11 The knife edge
6.12 Some practical considerations
6.13 The shadow method
6.14 Interference method
6.15 Mach-Zehnder Interferometer
6.16 Interferometer Techniques
6.17 X-Ray absorption and other methods
6.18 Direct measurement of skin friction
6.19 Hot-wire probe
6.20 Shock tube instrumentation
Chapter 7. The equations of frictionless flow
7.1 Introduction
7.2 Notation
7.3 The equation of continuity
7.4 The momentum equation
7.5 The energy equation
7.6 The eulerian derivative
7.7 Splitting the energy equation
7.8 The total enthalpy
7.9 Natural coordinates. Crocco's theorem
7.10 Relation of vorticity to circulation and rotation
7.11 The velocity potential
7.12 Irrotational flow
7.13 Remarks on the equations of motion
Chapter 8. Small-perturbation theory
8.1 Introduction
8.2 Derivation of the Perturbation equations
8.3 Pressure coefficient
8.4 Boundary conditions
8.5 Two-dimensional flow past a wave-shaped wall
8.6 Wavy wall in supersonic flow
8.7 Supersonic thin airfoil theory
8.8 Planar flows
Chapter 9. Bodies of revolution. Slender body theory
9.1 Introduction
9.2 Cylindrical coordinates
9.3 Boundary conditions
9.4 Pressure coefficient
9.5 Axially symmetric flow
9.6 Subsonic flow
9.7 Supersonic flow
9.8 Velocities in the Supersonic field
9.9 Solution for a Cone
9.10 Other meridian s
9.11 Solution for Slender Cone
9.12 Slender Body Drag
9.13 Yawed body of revolution in supersonic flow
9.14 Cross-flow boundary conditions
9.15 Cross-flow solutions
9.16 Cross flow for slender bodies of revolution
9.17 Lift of slender bodies of revolution
9.18 Slender body theory
9.19 Rayleigh's formula
Chapter 10. The similarity rules of high-speed flow
10.1 Introduction
10.2 Two-dimensional linearized flow. Prandtl-Glauert and Göthert rules
10.3 Two-dimensional transonic flow. von Kármán's rules
10.4 Linearized axially symmetric flow
10.5 Planar flow
10.6 Summary and application of the similarity laws
10.7 High mach numbers. Hypersonic similarity
Chapter 11. Transonic flow
11.1 Introduction
11.2 Definition of the transonic range
11.3 Transonic flow past wedge sections
11.4 Transonic flow past a cone
11.5 Transonic flow past smooth two-dimensional shapes. The question of shock-free flow
11.6 The hodograph transformation of the equations
Chapter 12. The method of characteristics
12.1 Introduction
12.2 Hyperbolic equations
12.3 The compatibility relation
12.4 The computation method
12.5 Interior and boundary points
12.6 Axially symmetric flow
12.7 Nonisentropic flow
12.8 Theorems about Plane flow
12.9 Computation with weak, finite waves
12.10 Interaction of waves
12.11 Design of supersonic nozzles
12.12 Comparison of characteristics and waves
Chapter 13. Effects of viscosity and conductivity
13.1 Introduction
13.2 Couette flow
13.3 Recovery temperature
13.4 Velocity distribution in couette flow
13.5 Rayleigh's problem. The diffusion of vorticity
13.6 The boundary-layer concept
13.7 Prandtl's equations for a flat plate
13.8 Characteristic results from the boundary-layer equation
13.9 The displacement effect of the boundary layer. Momentum and energy integrals
13.10 Change of variables
13.11 Boundary layers of profiles other than a flat plate
13.12 Flow through a shock wave
13.13 The Navier-Stokes equations
13.14 The turbulent boundary layer
13.15 Boundary-layer effects on the external flow field
13.16 Shock-wave boundary-layer interaction
13.17 Turbulence
13.18 Couette flow of a dissociating gas
Chapter 14. Concepts from gaskinetics
14.1 Introduction
14.2 Probability conc
14.9 Shear viscosity and heat conduction
14.10 Couette flow of a highly rarefie
14.11 The concepts of slip and accommodation
14.12 Relaxation effects of the internal degrees of freedom
14.13 The limit of continuum theory
Exercises; Selected references; Tables
1. Critical Data and characteristic temperatures for several gases
2. Flow parameters versus M for Subsonic flow
3. Flow parameters versus M for supersonic flow
4. Parameters for shock flow
5. Mach number and Mach angle versus Prandtl-Meyer function
Charts
1, 2 Oblique shock chart
Appendix, Index

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