Benard cells and taylor vortices

By: E.L KoschmederContributor(s): Edited by G.K Batchelor | L.B FreundSeries: Cambridge monographs on mechanicsPublication details: New York : Cambridge University Press, [c1993]Description: 334 pISBN: 0521402042; 9780521402040Subject(s): MathematicsLOC classification: QC330.2 .K68
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. Torque measurements 13. Supercritical Taylor vortex experiments 14. Nonlinear theory of Taylor vortices 15. Miscellaneous topics.
Summary: This 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.--- Summary provided by publisher
List(s) this item appears in: New Arrivals
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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. Torque measurements
13. Supercritical Taylor vortex experiments
14. Nonlinear theory of Taylor vortices
15. Miscellaneous topics.

This 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.--- Summary provided by publisher

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