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Elements of Gas Dynamics
by H. W. Liepmann,A. Roshko

ISBN: 0486419630
Dover Publications Price: $28.95
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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
 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 Plane
 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 me
 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 shapes
 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
 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 Introdu
 14.2 Probability conc
 14.9 Shear viscosity and heat conduction
 14.10 Couette flow of a highly rarefied gas
 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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