A model for the emergence of thermal plumes in Rayleigh–Bénard convection at infinite Prandtl number

@article{Lemery2000AMF,
  title={A model for the emergence of thermal plumes in Rayleigh–B{\'e}nard convection at infinite Prandtl number},
  author={Christopher Lemery and Yanick Ricard and Jo{\"e}l Sommeria},
  journal={Journal of Fluid Mechanics},
  year={2000},
  volume={414},
  pages={225 - 250}
}
We propose a two-dimensional model of three-dimensional Rayleigh–Bénard convection in the limit of very high Prandtl number and Rayleigh number, as in the Earth's mantle. The model equation describes the evolution of the first moment of the temperature anomaly in the thermal boundary layer, which is assumed thin with respect to the scale of motion. This two-dimensional field is transported by the velocity that it induces and is amplified by surface divergence. This model explains the emergence… Expand
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