Fluid Mechanics and the Theory of Flight
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788776819750
Table of contents: title: Content; title: 1. Introduction and Basics; title: 1.1. The continuum hypothesis; title: 1.2. Streamlines and particle paths; title: 1.3. The material (or convective) derivative; title: 1.4. The equation of mass conservation; title: 1.5. Pressure and hydrostatic equilibrium; title: 1.6. Euler’s equation of motion (1755); title: 1.7. Exercises 1; title: 2. Equations: Properties and Solutions; title: 2.1. The vorticity vector and irrotational flow; title: 2.2. Helmholtz’s equation (the ‘vorticity’ equation); title: 2.3. Bernoulli’s equation (or theorem); title: 2.4. The pressure equation; title: 2.5. Vorticity and circulation; title: 2.6. The stream function; title: 2.7. Kinetic energy and a uniqueness theorem; title: 2.8. Exercises 2; title: 3. Viscous Fluids; title: 3.1. The Navier-Stokes equation; title: 3.2. Simple exact solutions; title: 3.3.  The Reynolds number; title: 3.4. The (2D) boundary-layer equations; title: 3.5. The flat-plate boundary layer; title: 3.6. Exercises 3; title: 4. Two dimensional, incompressible, irrotational flow; title: 4.1. Laplace’s equation; title: 4.2. The complex potential; title: 4.3. Simple (steady) two-dimensional flows; title: 4.4. The method of images; title: 4.5. The circle theorem (Milne-Thomson, 1940); title: 4.6. Uniform flow past a circle; title: 4.7. Uniform flow past a spinning circle (circular cylinder); title: 4.8. Forces on objects (Blasius’ theorem, 1910); title: 4.9. Conformal transformations; title: 4.10. The transformation of flows; title: 4.11. Exercises 4; title: 5. Aerofoil Theory; title: 5.1. Transformation of circles; title: 5.2. The flat-plate aerofoil; title: 5.3. The flat-plate aerofoil with circulation; title: 5.4. The general Joukowski aerofoil in a flow; title: 5.5. Exercises 5; title: 6. Appendixes; title: 6.1. Appendix 1: Biographical Notes; title: 6.2. Appendix 2: Check-list of basic equations; title: 6.3. Appendix 3: Derivation of Euler’s equation (which describes an inviscid fluid); title: 6.4. Appendix 4: Kelvin’s circulation theorem (1869); title: 6.5. Appendix 5: Some Joukowski aerofoils; title: 6.6. Appendix 6: Lift on a flat-plate aerofoil; title: 6.7. Appendix 7: MAPLE program for plotting Joukowski aerofoils; title: 7. Answers; title: 8. Index