Bénard Cells and Taylor Vortices
Bénard Cells and Taylor Vortices
$159.00
USDThis book describes the research done on the problems of Bénard convection, as well as its modern offspring the Rayleigh–Bénard problem, and Taylor vortices. Bénard convection differs from Rayleigh–Bénard convection by the presence of surface tension, whilst Bénard 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.
- Experimental approach to fluids
- Author is very well-known experimentalist
- Around 100 figures, many of which are the author's own photos
- Classic subject matter lit up by recent investigations
Reviews & endorsements
"I would enthusiastically recommend Bénard Cells and Taylor Vortices to all researchers and graduate students interested in fluid dynamics, heat transfer, and scientific research. Cambridge University Press should be complimented for a superb production and publication." Turgut Sarpkaya, Applied Mechanics Review
"...a very readable, informal, descriptive discussion." The American Mathematical Monthly
"...a thorough and accessible account of linear and nonlinear stability problems and of turbulent flows....should be read and considered by those interested in pattern formation in fluids." C. David Andereck, Physics Today
"...highly recommended for theoreticians and experimentalists in hydrodynamic stability and bifurcation and also for all those interested in modeling in hydrodynamics." Mathematical Reviews
Product details
February 1993Hardback
9780521402040
350 pages
235 × 160 × 25 mm
0.806kg
100 b/w illus.
Available
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.
