B126 側壁が非線形温度分布をもつときの熱対流

概要

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The motion of a fluid in an infinite rectangular channel heated uniformly from below is considered. It is assumed that all walls are rigid and perfectly conducting, and that a deviation θ_c of the temperature on the side walls from the linear profile connecting the temperatures at the top and bottom of the channel exists. Two-dimensional steady flow driven by θ_c is numerically calculated, using the expansion of variables with modified Chebyshev polynomials and the collocation method. This flow is composed of a pair of rolls parallel to the channel. Furthermore, the three-dimensional linear stability of this flow is investigated. We find that the critical Rayleigh number increases as the temperature deviation θ_c increases, and that the rate of this increase in the critical Rayleigh number is the largest for the aspect ratio around 1.75. We also find that the change of the critical wavenumber due to θ_c is quite small.
日本流体力学会の論文
2000-07-25