|
Header pages Title page Copyright Abstract Bio Dedication Acknowledgements Support Table of Contents Abstract I The impulsively started circular cylinder II The generation of separation II.1 Vorticity dynamics of separation II.2 The effect of small viscosity II.3 Numerical solution of the full problem II.4 Asymptotic expansion III Physical interpretation IV Nonslipping separation V Particle explosions VI Downstream slipping separation VII Additional observations VII.1 Comparison with some experimental results VII.2 Kelvin-Helmholtz break-up of the feeding sheet VII.3 Separation by wave steepening VII.4 The small time expansion revisited VII.5 General form of the semi-similar solutions VII.6 Wang's equivalence principle VII.7 The exact solutions in Lagrangian coordinates References Appendices A The Lagrangian transformation formulae B Remarks abou the differential equations of Chapter II C Handling of the semi-infinite eta-region D An improvement in the accuracy for small times E Finite difference formulae and iterative procedure F The generation of the singularity revisited G The unsteady boundary layer singularity revisited H The inviscid vortex sheet near a separation point I Numerical viscous-inviscid interaction solution for upstream slipping separation J Integration of the similarity solution for downstream slipping separation K The "exact solutions" the Lagrangian way Table Figures |