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Stability of homogeneous pulsating vertical flow of mixture through horizontal porous layer with solute immobilization

机译:固定有溶质的混合物通过水平多孔层均匀脉动垂直流动的稳定性

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The paper is devoted to the investigation of the linear stability of homogeneous pulsating vertical seepage of mixture through horizontal porous layer with solute immobilization. The mixture flow through porous medium is studied within the standard Darcy-Boussinesq approach taking into account the solutal convection. The immobilization of solute particles by solid matrix of medium is described by the mobile/immobile media (MIM) model with second-order kinetics. It was shown earlier that the immobilization leads to oscillatory mode of convective instability due to transition of solute from the mobile phase to immobile one. This means that immobilization effect on the flow pulsations should be non-trivial. The equations for the convection with immobilization are derived, the regime of homogeneous filtration is obtained and its stability is investigated. The neutral curves in the parameter space are plotted. The effect of homogeneous filtration stabilization under intensification of external seepage and dynamics inter phase exchange is studied. It is found that the effect of pulsations is significant in the case when frequency of pulsations is close to the natural frequency of instability. The parametric excitation of convection is not observed. (C) 2018 Elsevier Ltd. All rights reserved.
机译:本文专门研究通过溶质固定的水平多孔层均匀搅拌脉动垂直渗流的线性稳定性。考虑到对流,在标准Darcy-Boussinesq方法中研究了混合物通过多孔介质的流动。通过具有二阶动力学的移动/固定介质(MIM)模型描述了介质固体基质固定溶质颗粒的过程。较早的研究表明,由于溶质从流动相过渡到固定相,固定化导致对流不稳定性的振荡模式。这意味着固定对流量脉动的影响应该不小。推导了固定对流的方程,得到了均匀过滤的形式并研究了其稳定性。将绘制参数空间中的中性曲线。研究了在外部渗流和动态相间交换加剧下均质过滤稳定的影响。已经发现,在脉动频率接近不稳定性的固有频率的情况下,脉动的影响是显着的。没有观察到对流的参数激励。 (C)2018 Elsevier Ltd.保留所有权利。

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