DIVISION ONEFUNDAMENTAL PRINCIPLES
Chapter 1Parameters in Compressible Flow003
1.1Velocity of Sound and Mach Number003
1.2Viscosity, Reynolds Number004
1.3Heat Conduction, Prandtl Number005
1.4Property of Gas, Ratio of Specific Heat006
1.5Similarity of Flows006
Chapter 2Steady OneDimensional Motion of a Perfect Compressible Fluid008
2.1Thermodynamic Relations, and Energy Equation008
2.2Perfect Gas Relations010
2.3Flow Area, Conditions at the Throat013
2.4Flow Through a De Laval Nozzle015
2.5Pressure and Velocity Relations in Isentropic Flow015
Chapter 3Shock Wave019
3.1Relation of Quantities in front and behind the Shock019
3.2Thickness of Shock023
3.3Creation of Shock from Finite Compression Disturbances025
3.4Oblique Shock029
3.5Flow over a Wedge033
3.6Pitot Tube034
AppendixThe Concept of Entropy and the Second Law of Thermodynamics036
Chapter 4Basic Equations of Motion of a Compressible, Inviscid and
NonHeat Conducting Fluid038
4.1General Equations038
4.2Kelvin Theorem042
4.3Helmholtz Theorem044
4.4Steady TwoDimensional Rotational Flow — Detached Shock046
4.5Nonsteady Irrotational Flow050
4.6Method of Approximate Solution of Irrotational Subsonic Isentropic Flow051
AppendixVector Differentiation053
DIVISION TWOTWODIMENSIONAL FLOWS
Chapter 5RayleighJanzen Method059
5.1General Equations059
5.2Solution by means of Complex Variables061
5.3Flow around a Circular Cylinder064
5.4Pressure Coefficient as a Series of Ma02068
5.5Higher Order of Approximation for the Circular Cylinder069
Bibliography070
Chapter 6PrandtlGlauert Method072
6.1Basic Equations for Iteration072
6.2First Approximation — PrandtlGlauert Rule076
6.3First Approximation, Using Velocity Potential078
6.4Higher Approximations080
Bibliography081
Chapter 7Hodograph Method and KrmnTsien Approximation083
7.1Basic Equations in Hodograph Variables084
7.2Formulation of Problem in Hodograph Plane089
7.3KrmnTsien Approximation090
7.4Velocity and Pressure Correction Formulae093
7.5Coordinate Correction096
7.6Application to the Flow around an Elliptic Cylinder098
7.7Further Development of KrmnTsien Approximation102
Bibliography102
Chapter 8
Velocity and Pressure Correction Formulae104
8.1Correction for Boundary Effects in Subsonic Flow104
8.2Limitations of the Correction Formulae107
8.3The Recommended Correction Formulae110
Bibliography113
Chapter 9Exact Solution of Isentropic Irrotational Flow114
9.1Flow with 180° Turn114
9.2Limiting Line119
9.3Breakdown of Potential Flow121
9.4General Exact Solutions123
Bibliography125
Chapter 10
TwoDimensional Supersonic Flows127
10.1The Lost Solution127
10.2PrandtlMeyer Flow130
10.3Flow over an Airfoil131
10.4Ackerets Formulae134
10.5Further Remarks136
Bibliography136
Chapter 11
Transonic and Hypersonic Similarity Laws138
11.1Transonic Flow Equation138
11.2Transonic Similarity Law142
11.3Slightly Supersonic Flow143
11.4Hypersonic Flows and Similarity Laws148
Bibliography152
Chapter 12Linearized Theory of Flow over a Slender Body of Revolution153
12.1Subsonic Flows with Axial Symmetry153
12.2Linearized Subsonic Flow154
12.3Subsonic Flow over a Slender Ellipsoid of Revolution157
12.4Supersonic Flow over a Slender Body of Revolution159
12.5Pressure Distribution163
12.6Wave Drag165
12.7Origin of Wave Drag — Transfer of Momentum167
12.8Body of Minimum Wave Drag168
12.9Lift of a Body of Revolution171
Bibliography174
Appendix175
CHAPTER 13
NonLinear Theory of Axially Symmetric Flows176
13.1Transonic Similarity Law176
13.2Hypersonic Similarity Law179
13.3“Lost Solution” of the Exact Equation181
13.4Exact Solution for Flow over a Cone182
Bibliography184
Chapter 14
Similarity Laws for
Wings of Finite Span186
14.1Similarity Law in Subsonic Flow186
14.2Similarity Law in Transonic Flow190
14.3Similarity Laws in Supersonic Flow193
14.4Similarity Laws in Hypersonic Flow194
Chapter 15
Rectangular Wing in Supersonic Flow197
15.1Source and Doublet Distribution197
15.2General Relation Between Source Distribution and Thickness Distribution of the
Wing201
15.3Rectangular Wing at Zero Angle of Attack — Drag Problem203
15.4Drag of Rectangular Wing at Very Small Aspect Ratio 207
15.5Lift Problem of a Rectangular Flat Plate208
15.6General Relation Between the Doublet Distribution and the Lift
Distribution214
15.7Aerodynamic Characteristics of a Rectangular Wing215
Appendix218
Chapter 16
Linearized Supersonic Wing Theory219
16.1Swept Wings of Infinite Span219
16.2Triangular Source Distribution221
16.3Arrowhead Wings224
16.4Reverse Flow Theorems228
16.5Conditions of the Edges of a Wing230
16.6Flow behind the Wing232
Bibliography233
Chapter 17Flow of a Viscous Compressible Fluid237
17.1Stresses and their Equations of Transformation237
17.2Rates of Strain and their Equations of Transformation239
17.3Relation between Stress and Rate of Strain241
17.4Justification of the StressStrain Relation244
17.5NavierStokes Equations246
17.6Energy Equation248
Chapter 18Boundary Layer251
18.1Boundary Layer Equations251
18.2Steady Flow in Boundary Layer and TemperatureVelocity Relation254
18.3Boundary Layer without Pressure Gradient257
18.4Approximate Solution of Boundary Layer over a Flat Plate259
18.5Cooling by Radiation262
18.6Steady Boundary Layer over a Body of Revolution263
18.7Integral Theorems267
18.8Stability of Laminar Boundary Layer and Turbulent Boundary Layer 270
Bibliography271
Chapter 19
Interaction of Boundary Layer and Shock273
19.1The λShock and the Simple Shock273
19.2Applications of the Concept of Softening of Shock275
Bibliography276
Appendix AProblems277
Appendix BExam283