期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 65, 期 -, 页码 70-78出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2018.05.014
关键词
Fractional calculus; Seepage; Non-Newtonian fluid; Fractal porous medium
类别
资金
- National Science Funds for Distinguished Young Scholars of China [11125208]
- National Natural Science Foundation of China [11772121, 11702085]
- 111 project [B12032]
In the present study, a fractional seepage model (FSM) is proposed for non-Newtonian fluid via spatial fractional derivative to characterize the non-local characteristics of the non Newtonian fluid in space and the fractal attributes of the porous medium. The analytical expressions of the permeability and the resistance are derived, in which each parameter contains clear physical meaning. The comparison between the empirical equations and our model with respect to available experimental data verifies the predictive capability of the proposed model. In addition, this study makes the first attempt to bridge the relation between the fractional derivative order and the fractal dimension of tortuosity, and may reveal the correlation between the memory of the complex fluid and characteristic pattern of the microstructure. (C) 2018 Elsevier B.V. All rights reserved.
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