Percolation characteristics of power law fluid in the rough tree-like bifurcation networks

IF 2.5 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Porous Media Pub Date : 2023-11-01 DOI:10.1615/jpormedia.2023048703

shanshan yang, Qiong Sheng, Mingqing Zou, Mingchao Liang

引用次数: 0

Abstract

To study the percolation characteristics of the power-law fluid in the rough tree bifurcation network, based on fractal theory, generalized Darcy's law, and constitutive equation of power-law fluid, a fractal model of permeability of power-law fluid in rough tree bifurcation network is proposed, and the total flow, total pressure drop and permeability of power-law fluid in rough tree bifurcation network are derived respectively. The analytic expression of the permeability of power-law fluid can be expressed as a function of the microstructure, power exponent, and relative roughness of the rough tree-like fractal bifurcation network. It can be seen from it that the permeability of the rough tree like fractal bifurcation network is inversely proportional to the relative roughness. At the same time, the comparison between the predicted values of the model and the existing models proves the correctness and rationality of the model.

查看原文本刊更多论文

粗糙树状分叉网络中幂律流体的渗流特征

为研究幂律流体在粗糙树分叉网络中的渗流特性，基于分形理论、广义达西定律和幂律流体本构方程，提出了粗糙树分叉网络中幂律流体渗透率的分形模型，并分别推导了粗糙树分叉网络中幂律流体的总流量、总压降和渗透率。幂律流体渗透率的解析表达式可以表示为粗糙树状分形分叉网络的微观结构、幂指数和相对粗糙度的函数。由此可见，粗糙树状分形分叉网络的渗透率与相对粗糙度成反比。同时，将模型预测值与现有模型进行比较，验证了模型的正确性和合理性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Porous Media 工程技术-工程：机械

CiteScore

3.50

自引率

8.70%

发文量

审稿时长

12.5 months

期刊介绍： The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.