Bénard Cells and Taylor Vortices
Series: Cambridge Monographs on Mechanics;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 26 February 1993
- ISBN 9780521402040
- Binding Hardback
- No. of pages350 pages
- Size 235x160x25 mm
- Weight 806 g
- Language English
- Illustrations 100 b/w illus. 0
Categories
Short description:
This book describes the motions resulting from heating a fluid layer from below.
MoreLong description:
This book describes the research done on the problems of B&&&233;nard convection, as well as its modern offspring the Rayleigh-B&&&233;nard problem, and Taylor vortices. B&&&233;nard convection differs from Rayleigh-B&&&233;nard convection by the presence of surface tension, whilst B&&&233;nard 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.
'... provides an invaluable source of information both for the graduate student starting research and as a timely decription of where we are now for those actively researching in the field.' Journal of Fluid Mechanics
Table of Contents:
Part I. B&&&233;nard Convection and Rayleigh-B&&&233;nard Convection: 1. B&&&233;nard's experiments; 2. Linear theory of Rayleigh-B&&&233;nard convection; 3. Theory of surface tension driven B&&&233;nard convection; 4. Surface tension driven B&&&233;nard convection experiments; 5. Linear Rayleigh-B&&&233;nard convection experiments; 6. Supercritical Rayleigh-B&&&233;nard convection experiments; 7. Nonlinear theory of Rayleigh-B&&&233;nard 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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