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首页> 外文期刊>Transport in Porous Media >Extension of the Darcy-Forchheimer Law for Shear-Thinning Fluids and Validation via Pore-Scale Flow Simulations
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Extension of the Darcy-Forchheimer Law for Shear-Thinning Fluids and Validation via Pore-Scale Flow Simulations

机译：达西-福希海默定律对稀稀流体的扩展和通过孔隙水流模拟的验证

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Flow of non-Newtonian fluids through porous media at high Reynolds numbers is often encountered in chemical, pharmaceutical and food, as well as petroleum and ground-water engineering, and in many other industrial applications. Under the majority of operating conditions typically explored, the dependence of pressure drops on flow rate is non-linear and the development of models capable of describing accurately this dependence, in conjunction with non-trivial rheological behaviors, is of paramount importance. In this work, pore-scale single-phase flow simulations conducted on synthetic two-dimensional porous media are performed via computational fluid dynamics for both Newtonian and non-Newtonian fluids and the results are used for the extension and validation of the Darcy-Forchheimer law, herein proposed for shear-thinning fluid models of Cross, Ellis and Carreau. The inertial parameter β is demonstrated to be independent of the viscous properties of the fluids. The results of flow simulations show the superposition of two contributions to pressure drops: one, strictly related to the non-Newtonian properties of the fluid, dominates at low Reynolds numbers, while a quadratic one, arising at higher Reynolds numbers, is dependent on the porous medium properties. The use of pore-scale flow simulations on limited portions of the porous medium is here proposed for the'determination of the macroscale-averaged parameters (permeability K, inertial coefficient (β and shift factor α), which are required for the estimation of pressure drops via the extended Darcy-Forchheimer law. The method can be applied for those fluids which would lead to critical conditions (high pressures for low permeability media and/or high flow rates) in laboratory tests.
机译：非牛顿流体以高雷诺数通过多孔介质流动在化学，制药和食品，石油和地下水工程以及许多其他工业应用中经常遇到。在通常探索的大多数运行条件下，压降对流量的依赖性是非线性的，开发能够准确描述这种依赖性以及非平凡的流变行为的模型至关重要。在这项工作中，通过计算流体动力学对牛顿和非牛顿流体进行了在合成二维多孔介质上进行的孔尺度单相流模拟，并将结果用于达西-福希海默定律的扩展和验证，本文提出用于Cross，Ellis和Carreau的剪切稀化流体模型。惯性参数β被证明与流体的粘性无关。流动模拟的结果表明，两种对压降的影响是叠加的：一种与流体的非牛顿特性严格相关，在低雷诺数下占主导地位，而在较高雷诺数下产生的二次平方取决于压降。多孔介质的性能。本文提出在多孔介质的有限部分上使用孔尺度流模拟来确定宏观平均参数（渗透率K，惯性系数（β和位移因子α）），这是估计压力所需的通过扩展的达西-福希海默（Darcy-Forchheimer）定律，该方法可以应用于那些在实验室测试中会导致临界条件（低渗透性介质的高压和/或高流速）的流体。

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