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首页> 外文期刊>International Journal of Heat and Mass Transfer >The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium
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The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium

机译：水平和垂直非均质性对多孔介质中对流开始的影响

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摘要

The effects of hydrodynamic and thermal heterogeneity, for the case of variation in both the horizontal and vertical directions, on the onset of convection in a horizontal layer of a saturated porous medium uniformly heated from below, are studied analytically for the case of weak heterogeneity. It is found that the effect of such heterogeneity on the critical value of the Rayleigh number Ra based on mean properties is of second order if the properties vary in a piecewise constant or linear fashion. The effects of horizontal heterogeneity and vertical heterogeneity are then comparable once the aspect ratio is taken into account, and to a first approximation are independent. For the case of conducting impermeable top and bottom boundaries and a square box, the effects of permeability heterogeneity and conductivity heterogeneity each cause a reduction in the critical value of Ra, while for the case of a tall box there can be either a reduction or an increase.
机译：对于水平方向和垂直方向均发生变化的情况，流体动力和热非均质性对从下方均匀加热的饱和多孔介质的水平层中对流的开始的影响，对于非均质性较弱的情况进行了分析研究。已经发现，如果性质以分段常数或线性方式变化，则基于均质性质，这种异质性对瑞利数Ra的临界值的影响是二阶的。一旦考虑了纵横比，则水平异质性和垂直异质性的影响是可比较的，并且对于第一近似而言是独立的。对于传导不可渗透的顶部和底部边界以及方盒的情况，渗透率异质性和电导率异质性的影响都会导致Ra的临界值降低，而对于高框的情况，可能会降低或降低增加。

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