Asymptotic Theory of Separated Flows

Cover......Page 1
ASYMPTOTIC THEORY OF SEPARATED FLOWS......Page 2
Title......Page 4
Copyright......Page 5
Contents......Page 6
Preface......Page 8
Preface to the English Edition......Page 11
1.1 Boundary-Layer Theory......Page 12
1.2 The Problem of Boundary-Layer Separation......Page 17
1.3 Self-Induced Separation......Page 20
1.4 The Preseparation Flow......Page 25
1.5 The Interaction Region......Page 30
1.6 The Flow in the Separation Region......Page 34
1.7 The Numerical Solution of the Problem......Page 39
1.8 The Effect of Surface Curvature......Page 43
2 Flow Separation from Corners of a Body Contour......Page 46
The region of potential flow......Page 47
The boundary layer ahead of the corner......Page 49
The mixing layer and the flow within the stagnation region......Page 54
The interaction region......Page 61
2.2 Flows with Small Values of the Parameter k......Page 72
2.3 The Onset of Separation near a Corner of a Body Contour with Small Turning Angle......Page 82
The boundary layer ahead of the corner......Page 84
The interaction region......Page 87
The flow over a surface irregularity......Page 101
Unsteady flow within the interaction region......Page 105
3.1 The Boundary Layer in the Vicinity of the
Trailing Edge of a Flat Plate......Page 111
3.2 The Influence of Profile Thickness......Page 123
The wedge-shaped edge......Page 124
The elliptic profile......Page 133
3.3 The Influence of Angle of Attack......Page 136
4.1 Experimental Observations......Page 146
4.2 Statement of the Problem. Inviscid-Flow Region......Page 148
4.3 The Boundary Layer......Page 150
A singular solution of the boundary-layer equation extended continuously through the zero-friction point.......Page 160
4.4 The Interaction Region......Page 167
The lower layer......Page 172
The upper layer of the interaction region......Page 173
Solution of the interaction problem......Page 174
4.5 Numerical Solution of the Fundamental Equation......Page 177
5.1 The Analogy between Unsteady Separation and Separation from a Moving Surface......Page 187
Statement of the problem......Page 191
The boundary layer on a surface moving downstream (uw >0)......Page 192
Removable singularity at the Moore-Rott-Sears point......Page 199
Statement of the problem......Page 200
Flow in the boundary layer ahead of the separation point......Page 201
The flow in the interaction region......Page 209
The flow beyond the interaction region. Separation of the boundary layer......Page 216
Wake breakdown......Page 226
Preseparation flow of an unsteady boundary layer......Page 228
The flow in the vicinity of a separation point of an unsteady boundary layer......Page 232
6.1 The Background of the Problem......Page 244
6.2 Formulation of the Problem. Initial Assumptions and Estimates......Page 250
6.3 The Flow in the Mixing Layer and the Separation Zone......Page 254
6.4 Drag of the Body and Parameters of the Separation Zone......Page 260
6.5 Separation-Zone Closure and Unsteadiness......Page 264
6.6 On the Zero-Drag Theory......Page 266
6.7 The Transition to a Thin Body......Page 269
7 Numerical Methods for Solving the Equations of Interaction Theory......Page 277
7.1 Statement of the Problem......Page 278
7.2 Marching and Inverse Methods......Page 283
Iteration methods......Page 288
Time-relaxation methods......Page 291
Semi-inverse methods......Page 295
Quasisimultaneous methods......Page 297
Spectral method......Page 302
7.4 Direct Methods of Solving Interaction Problems......Page 306
References......Page 325
Index......Page 342