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Rayleigh–Bénard Instability of an Ellis Fluid Saturating a Porous Medium
Transport in Porous Media ( IF 2.7 ) Pub Date : 2021-06-24 , DOI: 10.1007/s11242-021-01640-z
Michele Celli , Antonio Barletta , Pedro V. Brandão

The Ellis model describes the apparent viscosity of a shear–thinning fluid with no singularity in the limit of a vanishingly small shear stress. In particular, this model matches the Newtonian behaviour when the shear stresses are very small. The emergence of the Rayleigh–Bénard instability is studied when a horizontal pressure gradient, yielding a basic throughflow, is prescribed in a horizontal porous layer. The threshold conditions for the linear instability of this system are obtained both analytically and numerically. In the case of a negligible flow rate, the onset of the instability occurs for the same parametric conditions reported in the literature for a Newtonian fluid saturating a porous medium. On the other hand, when high flow rates are considered, a negligibly small temperature difference imposed across the horizontal boundaries is sufficient to trigger the convective instability.



中文翻译:

埃利斯流体饱和多孔介质的瑞利-贝纳不稳定性

Ellis 模型描述了剪切稀化流体的表观粘度,在极小的剪切应力的极限内没有奇点。特别是,当剪应力非常小时,该模型与牛顿行为相匹配。当在水平多孔层中规定产生基本通流的水平压力梯度时,研究了瑞利-贝纳不稳定性的出现。该系统线性不稳定性的阈值条件是通过分析和数值获得的。在流速可忽略不计的情况下,对于饱和多孔介质的牛顿流体文献中报道的相同参数条件,会发生不稳定性。另一方面,当考虑高流速时,

更新日期:2021-06-25
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