## Bénard Cells and Taylor VorticesThis 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 |

### Common terms and phrases

2ftc amplitude apparatus aspect ratio axisymmetric azimuthal waves Benard convection boundary conditions Boussinesq approximation Chandrasekhar circular container circulation Coles convective motions Couette flow critical Rayleigh number critical Taylor number critical wave number critical wavelength curve decreases discussed disturbances eccentric experimental finite fluid column fluid layer free-free function heat transfer hexagonal cells inner cylinder investigation Koschmieder large aspect ratio lateral walls linear theory Marangoni number measurements moderately supercritical narrow gap Navier-Stokes equations nondimensional nonunique Nusselt observed onset of convection onset of instability parallel rolls pattern Prandtl number predicted radial radius ratio range Rayleigh-Benard convection rectangular container Reynolds number rotation rate Section shown in Fig silicone oil solution stability diagram studied subcritical supercritical conditions supercritical convection supercritical flow supercritical Taylor surface tension surface-tension-driven convection Taylor vortex flow temperature gradient theoretical thermal conductivity time-dependent tion torque values velocity component viscosity vortices wavy Taylor vortices wavy vortex flow weakly nonlinear

### Popular passages

Page 311 - Effect of Wall Conduction on the Stability of a Fluid in a Rectangular Region Heated from Below, /. Heat Transfer, Vol.

Page 329 - THOMPSON, HA and SOGIN, HH (1966) Experiments on the onset of thermal convection in horizontal layer of gases, J.

Page 325 - Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation.