Page 10 - Aerodynamics for Engineering Students

Conbnts vii

3.3.3 Uniform flow 114
3.3.4 Solid boundaries and image systems 118
3.3.5 A source in a uniform horizontal stream 119
3.3.6 Source-sink pair 122
3.3.7 A source set upstream of an equal sink in a uniform stream 125
3.3.8 Doublet 126
3.3.9 Flow around a circular cylinder given by a doublet
in a uniform horizontal flow 129
3.3.10 A spinning cylinder in a uniform flow 133
3.3.1 1 Bernoulli’s equation for rotational flow 136
3.4 Axisymmetric flows (inviscid and incompressible flows) 137
3.4.1 Cylindrical coordinate system 137
3.4.2 Spherical coordinates 138
3.4.3 Axisymmetric flow from a point source
(or towards a point sink) 139
3.4.4 Point source and sink in a uniform axisymmetric flow 140
3.4.5 The point doublet and the potential flow around a sphere 142
3.4.6 Flow around slender bodies 144
3.5 Computational (panel) methods 147
A computational routine in FORTRAN 77 152
Exercises 155

4 Two-dimensional wing theory 159
Preamble 159
4.1 Introduction 159
4.1.1 The Kutta condition 160
4.1.2 Circulation and vorticity 162
4.1.3 Circulation and lift (Kutta-Zhukovsky theorem) 167
4.2 The development of aerofoil theory 169
4.3 The general thin aerofoil theory 171
4.4 The solution of the general equation 176
4.4.1 The thin symmetrical flat plate aerofoil 177
4.4.2 The general thin aerofoil section 178
4.5 The flapped aerofoil 1 a2
4.5.1 The hinge moment coefficient I a4
4.6 The jet flap 185
4.7 The normal force and pitching moment derivatives due to pitching 186
4.7.1 (Zq)(Mq) wing contributions 186
4.8 Particular camber lines 190
4.8.1 Cubic camber lines 190
4.8.2 The NACA four-digit wing sections 193
4.9 Thickness problem for thin-aerofoil theory 196
4.9.1 The thickness problem for thin aerofoils 197
4.10 Computational (panel) methods for two-dimensional lifting flows 200
Exercises 207

5 Finite wing theory 210
Preamble 210
5.1 The vortex system 21 1
5.1.1 The starting vortex 21 1
5.1.2 The trailing vortex system 212