Linear stability of natural convection on an evenly heated vertical wall

Abstract : A collocation technique is applied to the equations governing the linear stability of the anabatic layer on an evenly heated vertical wall in a stratified fluid. Marginal stability curves and critical heat fluxes are obtained for Prandtl numbers from 0 to 1000. As in other cases of vertical natural convection, two kinds of instability are observed, depending on the Prandtl number: at lower Prandtl numbers, the modes are short slow waves and the critical parameter is roughly proportional to the local Reynolds number, whereas at higher Prandtl numbers, the critical Reynolds number decreases rapidly and the waves are longer and faster.
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  • HAL Id : hal-02061265, version 1

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George Mcbain, S Armfield. Linear stability of natural convection on an evenly heated vertical wall. Fifteenth Australasian Fluid Mechanics Conference, Dec 2004, Sydney, Australia. ⟨hal-02061265⟩

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