{"title":"粗糙树状分叉网络中幂律流体的渗流特征","authors":"shanshan yang, Qiong Sheng, Mingqing Zou, Mingchao Liang","doi":"10.1615/jpormedia.2023048703","DOIUrl":null,"url":null,"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.","PeriodicalId":50082,"journal":{"name":"Journal of Porous Media","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Percolation characteristics of power law fluid in the rough tree-like bifurcation networks\",\"authors\":\"shanshan yang, Qiong Sheng, Mingqing Zou, Mingchao Liang\",\"doi\":\"10.1615/jpormedia.2023048703\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":50082,\"journal\":{\"name\":\"Journal of Porous Media\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2023-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Porous Media\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1615/jpormedia.2023048703\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Porous Media","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1615/jpormedia.2023048703","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Percolation characteristics of power law fluid in the rough tree-like bifurcation networks
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.
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.