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Book Categories |
1 | Mathematical and Fluid Mechanical Introduction | 1 |
1.1 | Introduction | 1 |
1.2 | The Navier-Stokes equations | 3 |
1.3 | Boundary conditions | 5 |
1.4 | Asymptotic methods | 5 |
1.5 | The Euler equations and potential flow | 9 |
1.6 | Stokes flow | 10 |
1.7 | Oseen's approximation | 11 |
1.8 | Basic boundary layer theory | 13 |
1.9 | Drag | 17 |
1.10 | Summary and overview | 20 |
I | The Triple Deck | |
2 | The Boundary Layer on a Flat Plate | 25 |
2.1 | Introduction | 25 |
2.2 | Semi-infinite plate--Rectangular coordinates | 26 |
2.3 | Semi-infinite plate - Parabolic coordinates | 36 |
2.4 | The drag on a section of semi-infinite plate | 45 |
2.5 | The wake behind a finite length plate | 49 |
2.6 | Near wake region | 50 |
2.7 | Far wake expansion | 59 |
2.8 | The drag on a finite plate | 69 |
2.9 | Summary | 74 |
3 | The Triple Deck | 76 |
3.1 | Introduction | 76 |
3.2 | Formulation | 82 |
3.3 | The middle deck | 83 |
3.4 | The outer deck | 85 |
3.5 | The inner deck | 86 |
3.6 | Computed results | 88 |
3.7 | Drag | 90 |
3.8 | Numerical solution of the Navier-Stokes equations | 91 |
3.9 | Summary | 96 |
4 | Numerical Solution of Triple Deck Equations | 97 |
4.1 | Introduction | 97 |
4.2 | Numerical solution in rectangular coordinates | 98 |
4.3 | Solution using sublayer coordinates | 103 |
4.4 | A spectral method | 104 |
4.5 | Channel flow | 106 |
II | Separation | |
5 | Introduction to Separation | 111 |
6 | Separated Flow about a Cylinder | 115 |
6.1 | Observation at moderate Reynolds number | 115 |
6.2 | Free streamline theory | 122 |
6.3 | Boundary layer with a variable pressure gradient | 149 |
6.4 | Combined boundary layer--free streamline models | 164 |
6.5 | Goldstein's hypothesis of a boundary layer singularity | 169 |
6.6 | Direct numerical solution of boundary layer equations | 176 |
6.7 | Reprise | 183 |
6.8 | Numerical solution of Navier-Stokes equations | 184 |
6.9 | Attempts to resolve Goldstein's singularity | 194 |
6.10 | Summary | 198 |
7 | Prediction of Separation from a Cylinder | 199 |
7.1 | Introduction | 199 |
7.2 | Sychev's hypothesis for separation | 204 |
7.3 | Smith's solution near separation | 206 |
7.4 | Separation from a cylinder | 208 |
7.5 | Comparison with numerical solutions | 210 |
7.6 | Prandtl-Batchelor flow | 212 |
7.7 | Summary | 218 |
III | Channel Flow | |
8 | Introduction to Channel Flow | 223 |
8.1 | Introduction | 223 |
8.2 | Asymmetric channels: R[superscript -1] [double less-than sign] [Set membership] [double less-than sign] R[superscript -1/7] | 228 |
8.3 | Symmetric channels: R[superscript -1] [double less-than sign] [Set membership] [double less-than sign] 1 | 233 |
8.4 | Free streamline theory | 234 |
8.5 | Computed examples | 246 |
8.6 | Numerical solution of the Navier-Stokes equations | 250 |
8.7 | Flow near a corner | 252 |
8.8 | Summary | 261 |
9 | Upstream Influence | 263 |
9.1 | Introduction | 263 |
9.2 | Asymmetric channels: [Set membership] [similar] R[superscript -1/7] | 263 |
9.3 | Upstream influence | 266 |
9.4 | A numerical example | 276 |
9.5 | Symmetric channels | 277 |
9.6 | Prandtl-Batchelor flow in channels | 282 |
9.7 | Summary | 282 |
10 | Coanda Effect | 284 |
10.1 | Introduction | 284 |
10.2 | Symmetry and bifurcation | 284 |
10.3 | Bifurcation solutions from Navier-Stokes equations | 290 |
10.4 | Application of interactive boundary layer theory | 292 |
10.5 | Summary | 298 |
Appendix A | Problems and Computer Programs | 299 |
A.1 | Chapter 1--Introduction | 299 |
A.2 | Chapter 2--Flat plate | 300 |
A.3 | Chapter 3 & 4--Triple deck | 300 |
A.4 | Chapter 5 & 6--Separation | 301 |
A.5 | Chapter 7--Prediction of separation from a cylinder | 303 |
A.6 | Chapter 8--Channel flow | 303 |
A.7 | Chapter 9--Upstream influence | 304 |
A.8 | Chapter 10--Coanda effect | 306 |
Bibliography | 307 | |
Author Index | 323 | |
Subject Index | 327 |
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Add Introduction to Interactive Boundary Layer Theory, One of the major achievements in fluid mechanics in the last quarter of the twentieth century has been the development of an asymptotic description of perturbations to boundary layers known generally as 'triple deck theory'. These developments have had a , Introduction to Interactive Boundary Layer Theory to the inventory that you are selling on WonderClubX
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Add Introduction to Interactive Boundary Layer Theory, One of the major achievements in fluid mechanics in the last quarter of the twentieth century has been the development of an asymptotic description of perturbations to boundary layers known generally as 'triple deck theory'. These developments have had a , Introduction to Interactive Boundary Layer Theory to your collection on WonderClub |