Elements of Gas Dynamics

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Overview

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.

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From The Critics
Intended for aeronautics students, this text will also be helpful to practicing engineers and scientists who work on problems involving the aerodynamics of compressible fluids. The book covers general principles of gas dynamics to provide a working understanding of the essentials of gas flow, explaining introductory concepts from thermodynamics including entropy, reciprocity relations, equilibrium conditions, the law of mass action and condensation, methods of measurement, transonic flow, and effects of viscosity and conductivity. This is an unabridged republication of a work published by John Wiley & Sons, Inc., New York, 1957. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

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 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 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 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 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 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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  • Anonymous

    Posted September 8, 2002

    A True Compressible Flow Classic Re-Released by Dover

    Liepmann & Roshko's classic text on gas dynamics (compressible flow) is a must-have for any graduate student or researcher in fluid mechanics. This text, out-of-print for some time, has evidently been re-released by the good folks at Dover Publications. Written in a more concise manner than Anderson's classic Modern Compressible Flow, this text nonetheless contains all the relevant physics of compressible flow in a much more compact volume. Because there is an emphasis on the physics of gas dynamics more than the engineering, this book is particularly relevant for those engaged in fluids research. Further, faculty should strongly consider using this text in graduate-level courses; not only can the material be covered in 1 semester but the amazingly low price will be appreciated by the students!

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