Journal article

Thermal convection below a conducting lid of variable extent: Heat flow scalings and two-dimensional, infinite Prandtl number numerical simulations

A Lenardic, L Moresi

PHYSICS OF FLUIDS | AMER INST PHYSICS | Published : 2003

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 107. The scaling predictions are also tested against previous numerical simulations of finite Prandtl number thermal convect..

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University of Melbourne Researchers