G. D. Mcbain

Theory of Lift (eBook, ePUB)

Introductory Computational Aerodynamics in MATLAB/Octave

• Format: ePub

Produktbeschreibung

Starting from a basic knowledge of mathematics and mechanics gained in standard foundation classes, Theory of Lift: Introductory Computational Aerodynamics in MATLAB/Octave takes the reader conceptually through from the fundamental mechanics of lift to the stage of actually being able to make practical calculations and predictions of the coefficient of lift for realistic wing profile and planform geometries. The classical framework and methods of aerodynamics are covered in detail and the reader is shown how they may be used to develop simple yet powerful MATLAB or Octave programs that accurately predict and visualise the dynamics of real wing shapes, using lumped vortex, panel, and vortex lattice methods. This book contains all the mathematical development and formulae required in standard incompressible aerodynamics as well as dozens of small but complete working programs which can be put to use immediately using either the popular MATLAB or free Octave computional modelling packages. Key features: * Synthesizes the classical foundations of aerodynamics with hands-on computation, emphasizing interactivity and visualization. * Includes complete source code for all programs, all listings having been tested for compatibility with both MATLAB and Octave. * Companion website (href="http://www.wiley.com/go/mcbain">www.wiley.com/go/mcbain) hosting codes and solutions. Theory of Lift: Introductory Computational Aerodynamics in MATLAB/Octave is an introductory text for graduate and senior undergraduate students on aeronautical and aerospace engineering courses and also forms a valuable reference for engineers and designers.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 288
• Erscheinungstermin: 22. Mai 2012
• Englisch
• ISBN-13: 9781118346280
• Artikelnr.: 37343802

Autorenporträt

Dr. Geordie Drummond McBain, Australia Geordie McBain is an engineering consultant based in Sydney, Australia. In 1995 he graduated top of his class from James Cook University with first class honours in mechanical engineering, earning him the Faculty Medal, and went on to receive his PhD there in 1999. In 2002 he was awarded a Sesquicentennial Postdoctoral Fellowship at the University of Sydney, researching fluid dynamics. During this period, he taught aerodynamics to students on the Aeronautical and Aerospace Engineering degree programmes.

Inhaltsangabe

Preface xvii Series Preface xxiii PART ONE PLANE IDEAL AERODYNAMICS 1
Preliminary Notions 3 1.2 Aircraft Geometry 5 1.3 Velocity 8 1.4 Properties
of Air 8 1.5 Dimensional Theory 13 1.6 Example: NACA Report No. 502 18 1.7
Exercises 19 1.8 Further Reading 22 2 Plane Ideal Flow 25 2.1 Material
Properties: The Perfect Fluid 25 2.2 Conservation of Mass 26 2.3 The
Continuity Equation 26 2.4 Mechanics: The Euler Equations 27 2.5
Consequences of the Governing Equations 30 2.6 The Complex Velocity 35 2.7
The Complex Potential 41 2.8 Exercises 42 2.9 Further Reading 44 3
Circulation and Lift 47 3.1 Powers of z 47 3.2 Multiplication by a Complex
Constant 53 3.3 Linear Combinations of Complex Velocities 54 3.4
Transforming the Whole Velocity Field 56 3.5 Circulation and Outflow 57 3.6
More on the Scalar Potential and Stream Function 61 3.7 Lift 62 3.8
Exercises 64 3.9 Further Reading 65 4 Conformal Mapping 67 4.1 Composition
of Analytic Functions 67 4.2 Mapping with Powers of zeta 68 4.3 Joukowsky's
Transformation 71 4.4 Exercises 75 4.5 Further Reading 78 5 Flat Plate
Aerodynamics 79 5.1 Plane Ideal Flow over a Thin Flat Plate 79 5.2
Application of Thin Aerofoil Theory to the Flat Plate 87 5.3 Aerodynamic
Moment 89 5.4 Exercises 90 5.5 Further Reading 91 6 Thin Wing Sections 93
6.1 Thin Aerofoil Analysis 93 6.2 Thin Aerofoil Aerodynamics 98 6.3
Analytical Evaluation of Thin Aerofoil Integrals 101 6.4 Numerical Thin
Aerofoil Theory 105 6.5 Exercises 109 6.6 Further Reading 109 7 Lumped
Vortex Elements 111 7.1 The Thin Flat Plate at Arbitrary Incidence, Again
111 7.2 Using Two Lumped Vortices along the Chord 114 7.3 Generalization to
Multiple Lumped Vortex Panels 117 7.4 General Considerations on Discrete
Singularity Methods 117 7.5 Lumped Vortex Elements for Thin Aerofoils 119
7.6 Disconnected Aerofoils 123 7.7 Exercises 125 7.8 Further Reading 125 8
Panel Methods for Plane Flow 127 8.1 Development of the CUSSSP Program 127
8.2 Exercises 137 8.3 Further Reading 139 8.4 Conclusion to Part I: The
Origin of Lift 139 PART TWO THREE-DIMENSIONAL IDEAL AERODYNAMICS 9
FiniteWings and Three-Dimensional Flow 143 9.1 Wings of Finite Span 143 9.2
Three-Dimensional Flow 145 9.3 Vector Notation and Identities 145 9.4 The
Equations Governing Three-Dimensional Flow 149 9.5 Circulation 150 9.6
Exercises 154 9.7 Further Reading 155 10 Vorticity and Vortices 157 10.1
Streamlines, Stream Tubes, and Stream Filaments 157 10.2 Vortex Lines,
Vortex Tubes, and Vortex Filaments 159 10.3 Helmholtz's Theorems 159 10.4
Line Vortices 160 10.5 Segmented Vortex Filaments 161 10.6 Exercises 166
10.7 Further Reading 167 11 Lifting Line Theory 169 11.1 Basic Assumptions
of Lifting Line Theory 169 11.2 The Lifting Line, Horseshoe Vortices, and
the Wake 169 11.3 The Effect of Downwash 173 11.4 The Lifting Line Equation
174 11.5 The Elliptic Lift Loading 178 11.6 Lift-Incidence Relation 180
11.7 Realizing the Elliptic Lift Loading 182 11.8 Exercises 182 11.9
Further Reading 183 12 Nonelliptic Lift Loading 185 12.1 Solving the
Lifting Line Equation 185 12.2 Numerical Convergence 188 12.3 Symmetric
Spanwise Loading 189 12.4 Exercises 192 13 Lumped Horseshoe Elements 193
13.1 A Single Horseshoe Vortex 193 13.2 Multiple Horseshoes along the Span
195 13.3 An Improved Discrete Horseshoe Model 200 13.4 Implementing
Horseshoe Vortices in Octave 203 13.5 Exercises 206 13.6 Further Reading
207 14 The Vortex Lattice Method 209 14.1 Meshing the Mean Lifting Surface
of a Wing 209 14.2 A Vortex Lattice Method 212 14.3 Examples of Vortex
Lattice Calculations 216 14.4 Exercises 220 14.5 Further Reading 221 PART
THREE NONIDEAL FLOW IN AERODYNAMICS 15 Viscous Flow 225 15.1 Cauchy's First
Law of Continuum Mechanics 225 15.2 Rheological Constitutive Equations 227
15.3 The Navier-Stokes Equations 228 15.4 The No-Slip Condition and the
Viscous Boundary Layer 228 15.5 Unidirectional Flows 229 15.6 A Suddenly
Sliding Plate 230 15.7 Exercises 234 15.8 Further Reading 234 16 Boundary
Layer Equations 237 16.1 The Boundary Layer over a Flat Plate 237 16.2
Momentum Integral Equation 241 16.3 Local Boundary Layer Parameters 243
16.4 Exercises 248 16.5 Further Reading 249 17 Laminar Boundary Layers 251
17.1 Boundary Layer Profile Curvature 251 17.2 Pohlhausen's Quartic
Profiles 252 17.3 Thwaites's Method for Laminar Boundary Layers 254 17.4
Exercises 260 17.5 Further Reading 261 18 Compressibility 263 18.1
Steady-State Conservation of Mass 263 18.2 Longitudinal Variation of Stream
Tube Section 265 18.3 Perfect Gas Thermodynamics 266 18.4 Exercises 270
18.5 Further Reading 271 19 Linearized Compressible Flow 273 19.1 The
Nonlinearity of the Equation for the Potential 273 19.2 Small Disturbances
to the Free-Stream 274 19.3 The Uniform Free-Stream 275 19.4 The
Disturbance Potential 275 19.5 Prandtl-Glauert Transformation 276 19.6
Application of the Prandtl-Glauert Rule 279 19.7 Sweep 284 19.8 Exercises
285 19.9 Further Reading 285 Appendix A Notes on Octave Programming 287 A.1
Introduction 287 A.2 Vectorization 287 A.3 Generating Arrays 290 A.4
Indexing 291 A.5 Just-in-Time Compilation 291 A.6 Further Reading 292
References 292 Glossary 293 Nomenclature 305 Index 309