## Abstract

Theoretical heat flow scalings are presented for free thermal convection occurring below a conducting lid. Cases in which the lid covers the full extent of the convecting fluid and in which the lid has a variable lateral extent are treated. The scaling predictions are tested against a suite of two-dimensional numerical simulations that solve the full mathematical equations describing infinite Prandtl number thermal convection occurring below a conducting lid. The scaling predictions and simulation results show reasonably good agreement for Rayleigh numbers greater than 10^{7}. The scaling predictions are also tested against previous numerical simulations of finite Prandtl number thermal convection below a laterally uniform lid. Scaling predictions and simulations results again show reasonable agreement.

Original language | English |
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Pages (from-to) | 455-466 |

Number of pages | 12 |

Journal | Physics of Fluids |

Volume | 15 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2003 |

Externally published | Yes |