Fluid Mechanics and the Theory of Flight
Publisher: Bookboon
Published: 2013
ISBN-13: 9788776819750
Table of contents: title: Introduction and Basics; title: The continuum hypothesis; title: Streamlines and particle paths; title: The material (or convective) derivative; title: The equation of mass conservation; title: Pressure and hydrostatic equilibrium; title: Euler’s equation of motion (1755); title: Exercises 1; title: Equations: Properties and Solutions; title: The vorticity vector and irrotational flow; title: Helmholtz’s equation (the ‘vorticity’ equation); title: Bernoulli’s equation (or theorem); title: The pressure equation; title: Vorticity and circulation; title: The stream function; title: Kinetic energy and a uniqueness theorem; title: Exercises 2; title: Viscous Fluids; title: The Navier-Stokes equation; title: Simple exact solutions; title: The Reynolds number; title: The (2D) boundary-layer equations; title: The flat-plate boundary layer; title: Exercises 3; title: Two dimensional, incompressible, irrotational flow; title: Laplace’s equation; title: The complex potential; title: Simple (steady) two-dimensional flows; title: The method of images; title: The circle theorem (Milne-Thomson, 1940); title: Uniform flow past a circle; title: Uniform flow past a spinning circle (circular cylinder); title: Forces on objects (Blasius’ theorem, 1910); title: Conformal transformations; title: The transformation of flows; title: Exercises 4; title: Aerofoil Theory; title: Transformation of circles; title: The flat-plate aerofoil; title: The flat-plate aerofoil with circulation; title: The general Joukowski aerofoil in a flow; title: Exercises 5; title: Appendixes; title: Appendix 1: Biographical Notes; title: Appendix 2: Check-list of basic equations; title: Appendix 3: Derivation of Euler’s equation (which describes an inviscid fluid); title: Appendix 4: Kelvin’s circulation theorem (1869); title: Appendix 5: Some Joukowski aerofoils; title: Appendix 6: Lift on a flat-plate aerofoil; title: Appendix 7: MAPLE program for plotting Joukowski aerofoils; title: Answers; title: Index