Abstract The present study deals with double diffusive convection within a horizontal well packed porous layer of finite aspect ratio where thermo-diffusion has a predominant effect on the convective flow stability. The porous layer is subject to vertical thermal and solutal gradients and a lateral heating flux. The investigation is focused on a special situation where the lateral heat flux is balanced by the horizontally induced Soret mass flux, which allows a possible equilibrium state (motionless state) that becomes unstable under certain conditions. The aim of the present investigation is to study the flow stability and to develop some universal correlations for the flow intensity and heat transfer, which is valid for any aspect ratio independently of the governing parameters. The correlations were constructed from the parallel flow assumption valid for an infinite aspect ratio enclosure but can be used for a finite aspect ratio. To this end, numerical simulations are performed to support the investigation and to calibrate the correlations. By using a linear stability analysis, based on a finite element method, the onset conditions for the stationary convection and over stabilities are investigated with the focus on the effect of the lateral heating magnitude on the stability thresholds. In general, the thermo-diffusion problem balanced by a lateral heating effect is found to exhibit a rich variety of different bifurcation phenomena and complex unsteady flow patterns near criticality.

中文翻译：

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横向加热和热扩散对受垂直热梯度和溶质梯度影响的多孔外壳中对流分叉的综合影响

摘要 本研究涉及有限纵横比水平填充多孔层内的双扩散对流，其中热扩散对对流流动稳定性有主要影响。多孔层受到垂直热梯度和溶质梯度以及横向热通量的影响。调查集中在一种特殊情况，即横向热通量被水平诱导的 Soret 质量通量平衡，这使得可能的平衡状态（静止状态）在某些条件下变得不稳定。本研究的目的是研究流动稳定性，并为流动强度和传热建立一些普遍的相关性，这对于独立于控制参数的任何纵横比都是有效的。相关性是根据平行流假设构建的，该假设对无限纵横比外壳有效，但可用于有限纵横比。为此，进行数值模拟以支持调查并校准相关性。通过使用基于有限元方法的线性稳定性分析，研究了稳态对流和过稳定性的起始条件，重点是侧向加热幅度对稳定性阈值的影响。通常，发现由横向加热效应平衡的热扩散问题表现出丰富多样的不同分叉现象和接近临界的复杂非定常流动模式。进行数值模拟以支持调查并校准相关性。通过使用基于有限元方法的线性稳定性分析，研究了稳态对流和过稳定性的起始条件，重点是侧向加热幅度对稳定性阈值的影响。通常，发现由横向加热效应平衡的热扩散问题表现出丰富多样的不同分叉现象和接近临界的复杂非定常流动模式。进行数值模拟以支持调查并校准相关性。通过使用基于有限元方法的线性稳定性分析，研究了稳态对流和过稳定性的起始条件，重点是侧向加热幅度对稳定性阈值的影响。一般来说，通过横向加热效应平衡的热扩散问题表现出丰富多样的不同分叉现象和接近临界的复杂非定常流动模式。研究了固定对流和过稳定性的起始条件，重点是横向加热幅度对稳定性阈值的影响。一般来说，通过横向加热效应平衡的热扩散问题表现出丰富多样的不同分叉现象和接近临界的复杂非定常流动模式。研究了固定对流和过稳定性的起始条件，重点是横向加热幅度对稳定性阈值的影响。一般来说，通过横向加热效应平衡的热扩散问题表现出丰富多样的不同分叉现象和接近临界的复杂非定常流动模式。