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Chin. Phys. B, 2017, Vol. 26(7): 074701    DOI: 10.1088/1674-1056/26/7/074701
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Experimental study and theoretical analysis of fluid resistance in porous media of glass spheres

Tong Wang(王彤)1,2, Kun-Can Zheng(郑坤灿)1,2, Yu-Peng Jia(贾宇鹏)1, Cheng-Lu Fu(付承鹭)1,2, Zhi-Jun Gong(龚志军)1,2, Wen-Fei Wu(武文斐)2
1 Institute of Energy and Environment, Inner Mongolia University of Science and Technology, Baotou 014010, China;
2 Inner Mongolia Key Laboratory of Integrated Exploitation of Bayan Obo Multi-Metallic Resources, Inner Mongolia University of Science and Technology, Baotou 014010, China
Abstract  Porous media have a wide range of applications in production and life, as well as in science and technology. The study of flow resistance in porous media has a great effect on industrial and agricultural production. The flow resistance of fluid flow through a 20-mm glass sphere bed is studied experimentally. It is found that there is a significant deviation between the Ergun equation and the experimental data. A staggered pore-throat model is established to investigate the flow resistance in randomly packed porous media. A hypothesis is made that the particles are staggered in a regular triangle arrangement. An analytical formulation of the flow resistance in random porous media is derived. There are no empirical constants in the formulation and every parameter has a specific physical meaning. The formulation predictions are in good agreement with the experimental data. The deviation is within the range of 25%. This shows that the staggered pore-throat model is reasonable and is expected to be verified by more experiments and extended to other porous media.
Keywords:  porous media      random packing      staggered pore-throat model      flow resistance  
Received:  08 December 2016      Revised:  17 March 2017      Accepted manuscript online: 
PACS:  47.10.A- (Mathematical formulations)  
  47.56.+r (Flows through porous media)  
Fund: Project supported by the National Basic Research Program of China (Grant No.2012CB720402),Appling Technology Research and Development Fund from Inner Mongolia,China (Grant No.20130310),and College Creative Group Research Program from Inner Mongolia,China (Grant No.NMGIRT1406).
Corresponding Authors:  Kun-Can Zheng     E-mail:  zhengkunchan@126.com

Cite this article: 

Tong Wang(王彤), Kun-Can Zheng(郑坤灿), Yu-Peng Jia(贾宇鹏), Cheng-Lu Fu(付承鹭), Zhi-Jun Gong(龚志军), Wen-Fei Wu(武文斐) Experimental study and theoretical analysis of fluid resistance in porous media of glass spheres 2017 Chin. Phys. B 26 074701

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