Bénard cells and Taylor vortices
著者
書誌事項
Bénard cells and Taylor vortices
（Cambridge monographs on mechanics and applied mathematics）
Cambridge University Press, 1993
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注記
Includes bibliographical references (p. 309-332) and index
内容説明・目次
内容説明
This book describes the research done on the problems of Benard convection, as well as its modern offspring the Rayleigh-Benard problem, and Taylor vortices. Benard convection differs from Rayleigh-Benard convection by the presence of surface tension, whilst Benard convection is characterized by parallel rolls. Toroidal vortices characterize Taylor vortex flow. Convection and Taylor vortex flow deal with the consequences of the presence of infinitesimal disturbances in a fluid layer. Both problems are classical examples in the theory of hydrodynamic stability and share many features. Linear theory describing the onset of instability for both problems is practically completed; nonlinear problems have been at the forefront of research during the last 30 years. The impressive progress that has been made in the theoretical and experimental investigation of the nonlinear problems is described and the remaining basic problems are outlined.
目次
- Part I. Benard Convection and Rayleigh-Benard Convection: 1. Benard's experiments
- 2. Linear theory of Rayleigh-Benard convection
- 3. Theory of surface tension driven Benard convection
- 4. Surface tension driven Benard convection experiments
- 5. Linear Rayleigh-Benard convection experiments
- 6. Supercritical Rayleigh-Benard convection experiments
- 7. Nonlinear theory of Rayleigh-Benard 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.
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