Theory of Lift. Introductory Computational Aerodynamics in MATLAB/Octave. Aerospace Series

Transcription

1 Brochure More information from Theory of Lift. Introductory Computational Aerodynamics in MATLAB/Octave. Aerospace Series Description: 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 (<a href="company website 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. Contents: Preface xvii Series Preface xxiii PART ONE PLANE IDEAL AERODYNAMICS 1 Preliminary Notions Aircraft Geometry Velocity Properties of Air Dimensional Theory Example: NACA Report No Exercises Further Reading 22 2 Plane Ideal Flow Material Properties: The Perfect Fluid Conservation of Mass The Continuity Equation Mechanics: The Euler Equations Consequences of the Governing Equations The Complex Velocity The Complex Potential Exercises Further Reading 44 3 Circulation and Lift 47

2 3.1 Powers of z Multiplication by a Complex Constant Linear Combinations of Complex Velocities Transforming the Whole Velocity Field Circulation and Outflow More on the Scalar Potential and Stream Function Lift Exercises Further Reading 65 4 Conformal Mapping Composition of Analytic Functions Mapping with Powers of Joukowsky s Transformation Exercises Further Reading 78 5 Flat Plate Aerodynamics Plane Ideal Flow over a Thin Flat Plate Application of Thin Aerofoil Theory to the Flat Plate Aerodynamic Moment Exercises Further Reading 91 6 Thin Wing Sections Thin Aerofoil Analysis Thin Aerofoil Aerodynamics Analytical Evaluation of Thin Aerofoil Integrals Numerical Thin Aerofoil Theory Exercises Further Reading Lumped Vortex Elements The Thin Flat Plate at Arbitrary Incidence, Again Using Two Lumped Vortices along the Chord Generalization to Multiple Lumped Vortex Panels General Considerations on Discrete Singularity Methods Lumped Vortex Elements for Thin Aerofoils Disconnected Aerofoils Exercises Further Reading Panel Methods for Plane Flow Development of the CUSSSP Program Exercises Further Reading Conclusion to Part I: The Origin of Lift 139 PART TWO THREE DIMENSIONAL IDEAL AERODYNAMICS 9 FiniteWings and Three Dimensional Flow Wings of Finite Span Three Dimensional Flow Vector Notation and Identities The Equations Governing Three Dimensional Flow Circulation Exercises Further Reading Vorticity and Vortices Streamlines, Stream Tubes, and Stream Filaments Vortex Lines, Vortex Tubes, and Vortex Filaments Helmholtz s Theorems 159

3 10.4 Line Vortices Segmented Vortex Filaments Exercises Further Reading Lifting Line Theory Basic Assumptions of Lifting Line Theory The Lifting Line, Horseshoe Vortices, and the Wake The Effect of Downwash The Lifting Line Equation The Elliptic Lift Loading Lift Incidence Relation Realizing the Elliptic Lift Loading Exercises Further Reading Nonelliptic Lift Loading Solving the Lifting Line Equation Numerical Convergence Symmetric Spanwise Loading Exercises Lumped Horseshoe Elements A Single Horseshoe Vortex Multiple Horseshoes along the Span An Improved Discrete Horseshoe Model Implementing Horseshoe Vortices in Octave Exercises Further Reading The Vortex Lattice Method Meshing the Mean Lifting Surface of a Wing A Vortex Lattice Method Examples of Vortex Lattice Calculations Exercises Further Reading 221 PART THREE NONIDEAL FLOW IN AERODYNAMICS 15 Viscous Flow Cauchy s First Law of Continuum Mechanics Rheological Constitutive Equations The Navier Stokes Equations The No Slip Condition and the Viscous Boundary Layer Unidirectional Flows A Suddenly Sliding Plate Exercises Further Reading Boundary Layer Equations The Boundary Layer over a Flat Plate Momentum Integral Equation Local Boundary Layer Parameters Exercises Further Reading Laminar Boundary Layers Boundary Layer Profile Curvature Pohlhausen s Quartic Profiles Thwaites s Method for Laminar Boundary Layers Exercises Further Reading 261

4 18 Compressibility Steady State Conservation of Mass Longitudinal Variation of Stream Tube Section Perfect Gas Thermodynamics Exercises Further Reading Linearized Compressible Flow The Nonlinearity of the Equation for the Potential Small Disturbances to the Free Stream The Uniform Free Stream The Disturbance Potential Prandtl Glauert Transformation Application of the Prandtl Glauert Rule Sweep Exercises 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 Ordering: Order Online - Order by Fax - using the form below Order by Post - print the order form below and send to Research and Markets, Guinness Centre, Taylors Lane, Dublin 8, Ireland.

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