Non-linear properties of thermal convection

Physics – Fluid Dynamics

Scientific paper

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Convective Heat Transfer, Fluid Dynamics, Free Convection, Nonlinearity, Hydrodynamic Equations, Prandtl Number, Rayleigh Number, Rotating Spheres, Thermal Instability

Scientific paper

Thermal convection in a layer heated from below is an exemplary case for the study of non-linear fluid dynamics and the transition to turbulence. In this review an outline is given of the present knowledge of the simplest realisation of convection in a layer of fluid satisfying the Oberbeck-Boussinesq approximation. Non-linear properties such as the dependence of the heat transport on Rayleigh and Prandtl numbers and the stability properties of convection rolls are emphasized in the discussion. Whenever possible, theoretical results are compared with experimental observations. A section on convection in rotating systems has been included, but the influence of other additional physical effects such as magnetic fields, side wall geometry, etc, has not been considered.

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