Benard Cells and Taylor Vortices

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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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Editorial Reviews

From the Publisher
"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

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Product Details

  • ISBN-13: 9780521402040
  • Publisher: Cambridge University Press
  • Publication date: 2/26/1993
  • Series: Cambridge Monographs on Mechanics Series
  • Pages: 349
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.94 (d)

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.

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