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More About This Textbook
Overview
This book describes the research done on the problems of Bénard convection, its modern offspring the RayleighSHBénard problem, and Taylor vortices. Both problems are classical examples in the theory of hydrodynamic stability and share many features. While linear theory describing the onset of instability for both problems is practically completed, nonlinear problems are at the forefront of research. Thus the author concentrates on the impressive progress that has been made in the theoretical and experimental investigation of the nonlinear problems and outlines the remaining basic problems.
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Table of Contents
Part I. Bénard Convection and Rayleigh–Bénard Convection: 1. Bénard's experiments; 2. Linear theory of Rayleigh–Bénard convection; 3. Theory of surface tension driven Bénard convection; 4. Surface tension driven Bénard convection experiments; 5. Linear Rayleigh–Bénard convection experiments; 6. Supercritical Rayleigh–Bénard convection experiments; 7. Nonlinear theory of Rayleigh–Bénard convection; 8. Miscellaneous topics; Part II. Taylor Vortex Flow: 9. Circular Couette flow; 10. Rayleigh's stability criterion; 11. G. I. Taylor's work; 12. Other early experiments; 13. Supercritical Taylor vortex experiments; 14. Experiments with two independently rotating cylinders; 15. Nonlinear theory of Taylor vortices; 16. Miscellaneous topics.