Numerical Modeling of Momentum Dispersion in Porous Media Based on the Pore Scale Prevalence Hypothesis
Numerical Modeling of Momentum Dispersion in Porous Media Based on the Pore Scale Prevalence Hypothesis
复制标题
基于孔隙尺度普遍假说的多孔介质中动量弥散的数值模拟
DOI：
10.1007/s11242-020-01423-y
复制
发表时间：
2020
影响因子：
2.7
通讯作者：
Jin, Yan
中科院分区：
文献类型：
--
作者：
Rao, Feixiong;Kuznetsov, Andrey V.;Jin, Yan
提出了一个考虑动量弥散效应的宏观模型。该模型是基于孔隙尺度流行假说（PSPH）。宏观速度梯度对动量输运的影响近似使用拉普拉斯项。引入了表征动量弥散强度的局部雷诺数Red来计算有效粘性。用于定义Redis的特征长度是孔径，而特征速度是混合速度。对有效粘度进行了关于红的泰勒展开。PSPH动量弥散模型采用泰勒级数的两个首阶项。模型常数是由两壁边界的同一多孔介质中的流动的直接数值模拟结果确定的。当孔隙率增加到1时，有效粘度接近分子粘度。当孔隙率接近0时，它接近无穷大。基准研究表明，宏观速度梯度的影响可以近似的拉普拉斯项。建议的PSPH动量弥散模型是高度准确的，在很宽的范围内的雷诺数和达西数以及孔隙度。
A macroscopic model that accounts for the effect of momentum dispersion on flows in porous media is proposed. The model is based on the pore scale prevalence hypothesis (PSPH). The effects of macroscopic velocity gradient on momentum transport are approximated using a Laplacian term. A local Reynolds number Red, which characterizes the strength of momentum dispersion, is introduced to calculate the effective viscosity. The characteristic length used in defining Redis the pore size, while the characteristic velocity is the mixing velocity. A Taylor expansion is made for the effective viscosity with respect to Red. The two leading-order terms of the Taylor series are adopted in the present PSPH momentum-dispersion model. The model constants are determined from the direct numerical simulation results of a flow in the same porous medium bounded by two walls. The effective viscosity approaches the molecular viscosity when the porosity is increased to 1. It approaches infinity when the porosity approaches 0. The benchmark studies show that the effects of the macroscopic velocity gradient can be approximated by the Laplacian term. The proposed PSPH momentum-dispersion model is highly accurate in a wide range of Reynolds and Darcy numbers as well as porosities.
登录
查看更多内容
影响因子：
2.7
作者：
I. Kuznetsov;Andrey V. Kuznetsov
通讯作者：
I. Kuznetsov;Andrey V. Kuznetsov
影响因子：
4.6
作者：
M. Uth;Yan Jin;A. Kuznetsov;H. Herwig
通讯作者：
M. Uth;Yan Jin;A. Kuznetsov;H. Herwig
DOI：
10.1007/978-94-009-1926-6
发表时间：
1990-03
期刊：
--
影响因子：
--
作者：
Jacob Bear;Y. Bachmat
通讯作者：
Jacob Bear;Y. Bachmat
DOI：
10.1002/zamm.19250050212
发表时间：
1925-01-01
期刊：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
影响因子：
--
作者：
Prandtl, L
通讯作者：
Prandtl, L
影响因子：
2.7
作者：
SAEZ, AE;PERFETTI, JC;RUSINEK, I
通讯作者：
RUSINEK, I