Bénard Cells and Taylor Vortices

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Cambridge University Press, Feb 26, 1993 - Mathematics - 337 pages
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This book describes the research done on the problems of Benard convection, as well as its modern offspring the RayleighSHBenard problem, and Taylor vortices. Benard convection differs from RayleighSHBenard 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.
  

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Contents

Benards Experiments
5
Linear Theory of RayleighBenard Convection
11
Theory of SurfaceTensionDriven Benard Convection
36
SurfaceTensionDriven Benard Convection Experiments
54
Linear RayleighBenard Convection Experiments
63
Supercritical RayleighBenard Convection Experiments
87
Nonlinear Theory of RayleighBenard Convection
119
Review
194
Rayleighs Stability Criterion
207
Torque Measurements
226
Nonlinear Theory of Taylor Vortices
268
Miscellaneous Topics
291
Review
307
Index
333
Copyright

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Page 311 - Effect of Wall Conduction on the Stability of a Fluid in a Rectangular Region Heated from Below, /. Heat Transfer, Vol.
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Page 325 - Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation.

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