Title page
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 KelvinHelmholtz breakup of the feeding sheet
VII.3 Separation by wave steepening
VII.4 The small time expansion revisited
VII.5 General form of the semisimilar 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 semiinfinite etaregion
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 viscousinviscid interaction solution for upstream slipping separation
J Integration of the similarity solution for downstream slipping separation
K The "exact solutions" the Lagrangian way
Table
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