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The Onset of Convection in a Layered Porous Medium with Vertical Throughflow

机译:具有垂直通流的层状多孔介质中对流的开始

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摘要

An analytical investigation of the effect of vertical throughflow on the onset of convection in a composite porous medium consisting of two horizontal layers has been made. The cases of iso-flux and iso-temperature boundaries are both investigated. The critical Rayleigh number depends on a Péclet number (Q), a permeability ratio (K_{r}), a thermal conductivity ratio (k_{r}), and a depth ratio (delta ). For the case of small (Q) an approximate solution is obtained, which shows that in general throughflow has a stabilizing effect whose magnitude may be increased or decreased by the heterogeneity. This solution is supplemented by an asymptotic solution valid for large (Q.)
机译:对垂直通流对由两个水平层组成的复合多孔介质中对流开始的影响进行了分析研究。研究了等通量和等温边界的情况。临界瑞利数取决于佩克利数(Q),磁导率比(K_ {r}),热导率比(k_ {r})和深度比(delta)。对于较小的(Q),可获得近似解,这表明通流通常具有稳定作用,其大小可能会因异质性而增大或减小。此解决方案由对大(Q.)有效的渐近解补充

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