.R.S. JohnsonFluid Mechanics and the Theory of FlightDownload free ebooks at

R.S. Johnson Fluid Mechanics and the Theory of Flight Download free ebooks at bookboon.com 2 Fluid Mechanics and the Theory of Flight © 2012 R.S. Johnson & Ventus Publishing ApS ISBN 978-87-7681-975-0 Download free ebooks at bookboon.com 3 Fluid Mechanics and the Theory of Flight Contents Contents Preface 7 1 Introduction and Basics 8 1.1 The continuum hypothesis 9 1.2 Streamlines and particle paths 10 1.3 The material (or convective) derivative 14 1.4 The equation of mass conservation 18 1.5 Pressure and hydrostatic equilibrium 23 1.6 Euler’s equation of motion (1755) 25 Exercises 1 29 2 Equations: Properties and Solutions 38 2.1 The vorticity vector and irrotational flow 38 2.2 Helmholtz’s equation (the ‘vorticity’ equation) 42 2.3 Bernoulli’s equation (or theorem) 44 2.4 The pressure equation 48 2.5 Vorticity and circulation 52 2.6 The stream function 56 2.7 Kinetic energy and a uniqueness theorem 59 Exercises 2 61 The next step for top-performing graduates Masters in Management Designed for high-achieving graduates across all disciplines, London Business School’s Masters in Management provides specific and tangible foundations for a successful career in business. This 12-month, full-time programme is a business qualification with impact. In 2010, our MiM employment rate was 95% within 3 months of graduation*; the majority of graduates choosing to work in consulting or financial services. As well as a renowned qualification from a world-class business school, you also gain access to the School’s network of more than 34,000 global alumni – a community that offers support and opportunities throughout your career. For more information visit www.london.edu/mm, email mim@london.edu or give us a call on +44 (0)20 7000 7573. * Figures taken from London Business School’s Masters in Management 2010 employment report Download free ebooks at bookboon.com 4 Fluid Mechanics and the Theory of Flight Contents 3 Viscous Fluids 67 3.1 The Navier-Stokes equation 67 3.2 Simple exact solutions 68 3.3 The Reynolds number 75 3.4 The (2D) boundary-layer equations 77 3.5 The flat-plate boundary layer 81 Exercises 3 84 4 Two dimensional, incompressible, irrotational flow 88 4.1 Laplace’s equation 88 4.2 The complex potential 90 4.3 Simple (steady) two-dimensional flows 91 4.4 The method of images 109 4.5 The circle theorem (Milne-Thomson, 1940) 113 4.6 Uniform flow past a circle 116 4.7 Uniform flow past a spinning circle (circular cylinder) 119 4.8 Forces on objects (Blasius’ theorem, 1910) 121 4.9 Conformal transformations 128 4.10 The transformation of flows 131 Exercises 4 134 Teach with the Best. Learn with the Best. Agilent offers a wide variety of affordable, industry-leading electronic test equipment as well as knowledge-rich, on-line resources —for professors and students. We have 100’s of comprehensive web-based teaching tools, lab experiments, application notes, brochures, DVDs/ CDs, posters, and more. © Agilent Technologies, Inc. 2012 See what Agilent can do for you. www.agilent.com/find/EDUstudents www.agilent.com/find/EDUeducators u.s. 1-800-829-4444 canada: 1-877-894-4414 Download free ebooks at bookboon.com 5 ... - tailieumienphi.vn