Introduction to Theoretical and Computational Aerodynamics

By: JACK MORAN

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Paperback | 17 June 2010

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480 Pages

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23.5 x 15.5 x 3.18

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This concise and highly readable introduction to theoretical and computational aerodynamics integrates both classical and modern developments, focusing on applying methods to actual wing design. Designed for a junior- or senior-level course and as a resource for practicing engineers, it features 221 figures. 1984 edition.

Reprint of the John Wiley & Sons, New York, 1984 edition.

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids Aerodynamics Mathematics Technology in General Engineering in General Transport Technology & Trades Aerospace & Aviation Technology

Wings	p. 1
Function	p. 1
Geometry	p. 4
References	p. 9
Problems	p. 10
Review of Basic Fluid Dynamics	p. 11
Forces and Moments Due to Pressure	p. 11
The Basic Conservation Laws of Fluid Mechanics	p. 14
Vector Calculus	p. 18
Differential Forms of the Conservation Laws	p. 21
Rotational Velocity and Irrotational Flow	p. 23
Two-Dimensional Incompressible Flow	p. 25
Uniform Flow	p. 27
Source Flow	p. 27
Vortex Flow	p. 28
Bibliography	p. 29
Problems	p. 29
Incompressible Irrotational Flow About Symmetric Airfoils at Zero Lift	p. 32
Uniform Two-Dimensional Irrotational Incompressible Flow About an Isolated Body	p. 33
Superposition of Fundamental Solutions	p. 34
Dimensionless Variables	p. 38
Rankine Ovals	p. 39
Line Source Distributions	p. 43
Flow Past Thin Symmetric Airfoils	p. 46
Errors Near The Stagnation Points	p. 52
Numerical Solution Based on Line Doublet Distributions	p. 55
Relation of Numerical to Analytical Solutions	p. 58
Complex-Variable Methods	p. 60
Flow Past an Ellipse	p. 63
Joukowsky Airfoils	p. 66
Problems	p. 70
Computer Programs	p. 75
Lifting Airfoils in Incompressible Irrotational Flow	p. 80
The Thin Airfoil: Thickness and Camber Problems	p. 80
Forces and Moments on a Thin Airfoil	p. 85
The Kutta Condition	p. 91
Circulation Specification	p. 93
The Cambered Thin Airfoil	p. 94
Aerodynamics of The Thin Airfoil	p. 97
The Lumped-Vortex Method	p. 101
Panel Methods	p. 103
Program PANEL	p. 110
Complex-Variables Methods	p. 112
References	p. 117
Problems	p. 117
Computer Program	p. 118
Wings of Finite Span	p. 124
The Vortex System for a Thin Planar Wing of Finite Span	p. 124
The Vortex-Lattice Method	p. 130
Induced Drag	p. 134
Lifting-Line Theory	p. 135
The Elliptic Lift Distribution	p. 138
The Optimal Wing	p. 141
Nonelliptic Lift Distributions	p. 144
References	p. 148
Problems	p. 149
Computer Program	p. 151
The Navier-Stokes Equations	p. 154
The Stress at a Point	p. 154
Newton's Second Law For Fluids	p. 158
Symmetry of Stresses	p. 160
Molecular View of Stress in a Fluid	p. 161
The No-Slip Condition	p. 166
Unidirectional Flows	p. 168
The Viscosity Coefficient	p. 170
Pascal's Law	p. 171
Strain Versus Rotation	p. 173
Isotropy	p. 177
Vectors and Tensors	p. 179
The Stress Tensor	p. 182
The Rate-of-Strain Tensor	p. 184
The Two Coefficients of Viscosity	p. 185
The Navier-Stokes Equations	p. 187
Problems	p. 189
The Boundary Layer	p. 191
The Laminar Boundary Layer	p. 191
Use of the Boundary-Layer Equations	p. 197
Skin Friction	p. 198
Displacement Thickness	p. 199
Momentum Thickness	p. 202
The Momentum Integral Equation	p. 203
Velocity Profile Fitting: Laminar Boundary Layers	p. 204
Thwaites's Method For Laminar Boundary Layers	p. 206
Form Drag	p. 209
Turbulent Flows	p. 210
Velocity Profile Fitting: Turbulent Boundary Layers	p. 215
Head's Method For Turbulent Boundary Layers	p. 219
Transition From Laminar to Turbulent Flow	p. 220
Boundary Layer Separation	p. 222
Airfoil Performance Characteristics	p. 225
The Development of Circulation About a Sharp-Tailed Airfoil	p. 244
Computation of Boundary Layer Growth Along An Airfoil	p. 247
References	p. 252
Problems	p. 253
Computer Program	p. 255
Panel Methods	p. 260
Mathematical Foundations: Green's Identity	p. 260
Potential-Based Panel Methods	p. 266
Constant-Potential Method	p. 264
Linear-Potential Method	p. 273
Equivalent Vortex Distributions	p. 276
Vortex-Based Panel Methods	p. 280
Source-Based Panel Methods	p. 282
Comparisons of Source-, Doublet-, and Vortex-Based Methods	p. 285
References	p. 287
Problems	p. 287
Finite Difference Methods	p. 289
Boundary-Value Problems in One Dimension	p. 289
Convergence and Order of Accuracy	p. 295
Incompressible Potential Flow Past a Thin Symmetric Airfoil	p. 299
Direct Methods	p. 303
Iterative Methods	p. 304
Initial Problems: The Heat Equation	p. 308
An Explicit Finite-Difference Method	p. 310
Stability	p. 312
Convergence	p. 315
The Crank-Nicolson Method	p. 317
Backward-Difference Schemes	p. 320
References	p. 322
Problems	p. 322
Computer Programs	p. 324
Finite-Difference Solution of the Boundary Layer Equations	p. 335
Statement of The Problem	p. 335
Similar Solutions of The Laminar Incompressible Boundary Layer	p. 337
Finite-Difference Methods for the Falkner-Skan Equation	p. 341
Iterative Solution of Nonlinear Equations	p. 342
A Finite-Difference Method Based on a Second-Order Differential Equation	p. 344
A Finite-Difference Method Based on a System of First-Order Equations	p. 348
Transformation of The Laminar Boundary-Layer Equations For Arbitrary Pressure Gradients	p. 354
Program BDYLAY	p. 359
Turbulent Boundary Layers	p. 360
Separated Flows	p. 366
References	p. 368
Problems	p. 369
Computer Programs	p. 371
Compressible Potential Flow Past Airfoils	p. 381
Shock Waves and Sound Waves	p. 381
Equations of Compressible Steady Potential Flow	p. 385
The Prandtl-Glauert Equation	p. 388
Subsonic Flow Past Thin Airfoils	p. 390
Supersonic Flow Past Thin Airfoils	p. 393
Transonic Flow Past Thin Airfoils	p. 399
Aerodynamics in the Transonic Range	p. 402
Solution of the Transonic Small-Disturbance Equation: Subcritical Flow	p. 404
Conservative versus Nonconservative Difference Schemes	p. 406
Supercritical Flow and Upwind Differencing	p. 408
The Relaxation Iteration	p. 413
The Poisson Iteration	p. 415
References	p. 417
Problems	p. 417
Computer Program	p. 418
An Important Integral	p. 424
The Integral [characters not reproducible]	p. 427
Potential Flow Past a Corner	p. 429
Uniqueness of Solutions of Laplace Equation	p. 433
Fourier-Series Expansions	p. 438
Downwash Due to a Horseshoe Vortex	p. 442
Geometrical Demonstration That Strain is a Tensor	p. 446
Optimization of the SOR Method for the Laplace Equation	p. 449
Structure of a Weak Shock Wave	p. 456
Index	p. 459
Table of Contents provided by Ingram. All Rights Reserved.

Introduction to Theoretical and Computational Aerodynamics

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