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Pattern selection for Darcy-Benard convection with local thermal nonequilibrium

机译:达西 - 贝纳特对流与局部热非预测的模式选择

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摘要

A weakly nonlinear analysis is performed on the classical Darcy-Benard problem to determine the effects of local thermal nonequilibrium on the planform of convection immediately post-onset. It is found that two-dimensional rolls are always favoured. Although disturbances which are perpendicular to the roll whose stability is being assessed usually form the most dangerous mode of instability, it is also found that there are regions of parameter space where the cross-roll instability becomes inoperative as an instability mechanism.
机译:在经典的达西邦问题上进行了弱非线性分析,以确定局部热非预防对对流的平面变形的影响。发现二维辊总是受到青睐。尽管垂直于稳定性被评估的辊的扰动通常形成最危险的不稳定性模式,但也发现存在参数空间区域的区域,其中横辊不稳定性变得不起作用。

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