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About this book
Introduces phenomena in engineering and the natural environment such as instability of flows and their transition to turbulence, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized. The relation of chaos to transition is discussed at length.
Contents
1. General introduction; 2. Introduction to steady flows, their instability and bifurcations; 3. Kelvin-Helmholtz instability; 4. Capillary instability of a jet; 5. Development of instabilities in time and space; 6. Rayleigh-Benard convection; 7. Centrifugal instability; 8. Stability of parallel flows; 9. Routes to chaos and turbulence; 10. Case studies in transition to turbulence; References; Index.
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