期刊
CHEMICAL ENGINEERING SCIENCE
卷 211, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ces.2019.115265
关键词
Anomalous imbibition; Non-Newtonian fluid; Fractional calculus; Modeling
资金
- Fundamental Research Funds for the Central Universities [2019B81014, 2018B687X14, 2019B16114]
- Postgraduate Research & Practice Innovation Program of Jiangsu Province [KYCX18_0532]
- National Natural Science Foundation of China [11772121, 11702085]
- China Scholarship Council (CSC) [201806710065]
The imbibition of a complex fluid in porous media often exhibits anomalous behavior, which is dominated by multiple time-spatial scales. In this work, a spatiotemporal fractional imbibition model (SFIM) is proposed to capture anomalous imbibition. The anomalous exponent and the non-Newtonian index of SFIM are introduced to characterize the heterogeneity of porous media and the nonlocality of the non-Newtonian fluid. It is found that the anomalous exponent is inversely proportional to the fractal dimension of tortuosity. The non-Newtonian index unveils the radius variation due to the interaction between the non-Newtonian fluid and the interface of porous media. In addition, the proposed model is superior to the Lucas-Washburn model (LWM) with respect to the experimental data of oil and epoxy resin. This work is provided as a preliminary probe into a study on anomalous imbibition via fractional calculus. (C) 2019 Elsevier Ltd. All rights reserved.
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