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Dispersion in non-Newtonian fluid flows in a conduit with porous walls

机译:非牛顿流体的分散在带有多孔壁的导管中流动

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Solute transport in a conduit (channel or tube) adjacent to a porous medium is drastically influenced by the porous walls. However, an appropriate relationship between the porous walls and the transport coefficients due to non-Newtonian fluid flows still needs further investigation. In this study, a reduced-order model for advective-dispersive transport due to flow of a non-Newtonian power-law (or Ostwald-de Waele) fluid in a conduit with porous walls is derived through which the dispersion coefficient can be obtained. It is revealed that the dispersion coefficient is controlled by the Peclet number and the flow behavior index. The dispersion coefficients for shear-thinning fluids are smaller than the case of Newtonian fluid while the dispersion coefficients for shear-thickening fluids are larger than that for Newtonian fluid. The ratio of dispersion coefficient in a conduit with porous walls to that in a conduit with non-porous walls recognizes three distinct transport regimes of diffusion-dominated, transition, and advection-dominated. The results exhibit that the exchange of solute between the conduit and the neighboring porous medium should be taken into consideration in determination of the dispersion coefficient for the last two transport regimes. It is also found that the larger the flow behavior index the earlier the breakthrough of a solute in a conduit with porous walls. In addition, the breakthrough time in a conduit with porous walls is larger than that in a conduit with non-porous walls. The presented results in this study are of great importance in many science and engineering applications, including drug delivery to blood vessels, separation of emulsions using membranes, nutrient uptake from soils, contaminant transport in fractured aquifers, and oil recovery from carbonate reservoirs. (C) 2018 Elsevier Ltd. All rights reserved.
机译:与多孔介质相邻的导管(通道或管)中的溶质转运被多孔壁的急剧影响。然而,由于非牛顿流体流动,多孔壁与传输系数之间的适当关系仍然需要进一步调查。在该研究中,导致具有多孔壁的导管中的非牛顿电力 - 法(或OSTWALD-DE WAELE)流体的流动的平程分散运输的减少阶模型,通过该导管中的导管中的导管中的流体可以通过该流动。据透露,分散系数由PECLET数和流动行为指数控制。用于剪切变薄流体的分散系数小于牛顿流体的情况,而剪切增稠流体的分散系数大于牛顿流体的分散系数。具有多孔壁的导管中的分散系数与具有非多孔壁的导管中的分散系数的比率识别出三个不同的传输统治,转变和平整主导的传输制度。结果表明,应考虑到最后两个运输制度的分散系数的分散系数之间的溶质交换。还发现流动行为指标越大,较早的溶质在具有多孔壁的导管中的突破。另外,具有多孔壁的导管中的突破时间大于具有非多孔壁的导管中的导管。本研究的结果在许多科学和工程应用中具有重要意义,包括对血管的药物输送,使用膜的乳液分离,从土壤中的营养吸收,骨折含水层中的污染物输送以及从碳酸盐储层中的储存。 (c)2018年elestvier有限公司保留所有权利。

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