Theory of Lift : Introductory Computational Aerodynamics with MATLAB and Octave.
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 pract...
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Full text (MCPHS users only) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hoboken :
John Wiley & Sons,
2012
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| Series: | Aerospace Series.
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| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- Theory of Lift: Introductory Computational Aerodynamics in MATLAB®/Octave; Contents; Preface; Acknowledgements; References; Series Preface; PART ONE: PLANE IDEAL AERODYNAMICS; 1 Preliminary Notions; 1.1 Aerodynamic Force and Moment; 1.1.1 Motion of the Frame of Reference; 1.1.2 Orientation of the System of Coordinates; 1.1.3 Components of the Aerodynamic Force; 1.1.4 Formulation of the Aerodynamic Problem; 1.2 Aircraft Geometry; 1.2.1 Wing Section Geometry; 1.2.2 Wing Geometry; 1.3 Velocity; 1.4 Properties of Air; 1.4.1 Equation of State: Compressibility and the Speed of Sound.
- 1.4.2 Rheology: Viscosity1.4.3 The International Standard Atmosphere; 1.4.4 Computing Air Properties; 1.5 Dimensional Theory; 1.5.1 Alternative methods; 1.5.2 Example: Using Octave to Solve a Linear System; 1.6 Example: NACA Report No. 502; 1.7 Exercises; 1.8 Further Reading; References; 2 Plane Ideal Flow; 2.1 Material Properties: The Perfect Fluid; 2.2 Conservation of Mass; 2.2.1 Governing Equations: Conservation Laws; 2.3 The Continuity Equation; 2.4 Mechanics: The Euler Equations; 2.4.1 Rate of Change of Momentum; 2.4.2 Forces Acting on a Fluid Particle; 2.4.3 The Euler Equations.
- 2.4.4 Accounting for Conservative External Forces2.5 Consequences of the Governing Equations; 2.5.1 The Aerodynamic Force; 2.5.2 Bernoulli's Equation; 2.5.3 Circulation, Vorticity, and Irrotational Flow; 2.5.4 Plane Ideal Flows; 2.6 The Complex Velocity; 2.6.1 Review of Complex Variables; 2.6.2 Analytic Functions and Plane Ideal Flow; 2.6.3 Example: the Polar Angle Is Nowhere Analytic; 2.7 The Complex Potential; 2.8 Exercises; 2.9 Further Reading; References; 3 Circulation and Lift; 3.1 Powers of z; 3.1.1 Divergence and Vorticity in Polar Coordinates; 3.1.2 Complex Potentials.
- 3.1.3 Drawing Complex Velocity Fields with Octave3.1.4 Example: k = 1, Corner Flow; 3.1.5 Example: k = 0, Uniform Stream; 3.1.6 Example: k = -1, Source; 3.1.7 Example: k = -2, Doublet; 3.2 Multiplication by a Complex Constant; 3.2.1 Example: w = const., Uniform Stream with Arbitrary Direction; 3.2.2 Example: w = i/z, Vortex; 3.2.3 Example: Polar Components; 3.3 Linear Combinations of Complex Velocities; 3.3.1 Example: Circular Obstacle in a Stream; 3.4 Transforming the Whole Velocity Field; 3.4.1 Translating the Whole Velocity Field; 3.4.2 Example: Doublet as the Sum of a Source and Sink.
- 3.4.3 Rotating the Whole Velocity Field3.5 Circulation and Outflow; 3.5.1 Curve-integrals in Plane Ideal Flow; 3.5.2 Example: Numerical Line-integrals for Circulation and Outflow; 3.5.3 Closed Circuits; 3.5.4 Example: Powers of z and Circles around the Origin; 3.6 More on the Scalar Potential and Stream Function; 3.6.1 The Scalar Potential and Irrotational Flow; 3.6.2 The Stream Function and Divergence-free Flow; 3.7 Lift; 3.7.1 Blasius's Theorem; 3.7.2 The Kutta-Joukowsky Theorem; 3.8 Exercises; 3.9 Further Reading; References; 4 Conformal Mapping; 4.1 Composition of Analytic Functions.
