Characterizing shear-thinning fluids transitioning from rheology- to inertia-dominated flow regimes in porous media
Characterizing shear-thinning fluids transitioning from rheology- to inertia-dominated flow regimes in porous media
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DOI：
10.1016/j.jhydrol.2021.126498
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发表时间：
2021-05
影响因子：
6.4
通讯作者：
Lizhi Zheng;Lichun Wang;Tiejun Wang;Kuldeep Singh;Jia-Qing Zhou;P. Shuai;Zhongliang Wang;Xi Chen
中科院分区：
文献类型：
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作者：
Lizhi Zheng;Lichun Wang;Tiejun Wang;Kuldeep Singh;Jia-Qing Zhou;P. Shuai;Zhongliang Wang;Xi Chen
了解和预测非牛顿流体在多孔介质中的流动对许多地球物理和环境问题至关重要。尽管广泛的研究已经研究了剪切稀化流体的非线性流动，但用于识别从流变主导流动到惯性主导流动过渡的非线性的临界雷诺数（Rec）仍不清楚。为了确定Rec，我们对具有不同流体流变学（由幂律指数n量化）的幂律流体进行了数百次直接数值模拟，这些流体通过各种孔隙几何形状来表征，这些孔隙几何形状由无量纲水力形状因子（β）来表征。利用数值计算得到的压力梯度和流体通量计算了体积粘度-雷诺数曲线，并根据该曲线确定了Rec。在已知Rec的情况下，我们建立了Rec与（β，n）之间的预测函数。该函数允许通过成像技术基于可测量属性（β，n）估计Rec。我们的机械建模工作揭示了预测非牛顿流体在连续尺度的非线性流动，知道在什么条件下的惯性效应是显着的。
Understanding and predicting non-Newtonian fluid flows in porous media is crucial for many geophysical and environmental problems. Although extensive studies have investigated nonlinear flow for shear thinning fluids, the critical Reynolds number (Rec) for identifying nonlinearity in transition from rheology-dominated to inertia-dominated flows remains unclear. To determineRec, we conducted hundreds of direct numerical simulations of power law fluids with diverse fluid rheology (quantified by a power law exponentn) through a variety of pore geometries which are characterized by a non-dimensional hydraulic shape factor (β). The numerically-derived pressure gradient and fluid flux were used to compute the bulk viscosity ~ Reynolds number curves, which were further employed to determineRec. With knowingRec, we established a predictive function betweenRecand (β,n). This function allows for the estimation ofRecbased on the measurable properties (β,n) via imaging technique. Our mechanistic modelling work sheds light on predicting nonlinear flow for non-Newtonian fluids at the continuum scale by knowing under what conditions the inertial effects are significant.