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Chin. Phys. B, 2017, Vol. 26(7): 074701    DOI: 10.1088/1674-1056/26/7/074701

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:

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

[1] Liu W, Fan A W and Huang X M 2006 Theory and Application of Heat and Mass Transfer on Porous Media (Beijing:Science Press) p. 1 (in Chinese)
[2] Bear J 1983 Dynamics of Fluids in Porous Media (Beijing:China Architecture & Building Press) p. 91 (in Chinese)
[3] Forchheimer P 1901 Z. Ver. Deutsch. Ing. 45 1728
[4] Carman P C 1997 Chem. Eng. Research & Design 75 S32
[5] Rose H E 1945 ARCHIVE Proceedings Institution Mechanical Engineers 153 154
[6] Rose H E and Rizk A M A 1949 ARCHIVE Proceedings Institution Mechanical Engineers 160 493
[7] Ergun S 1952 Chem. Eng. Prog. 48 89
[8] Kürten H, Raasch J and Rumpf H 1966 Chemie Ingenieur Technik 38 941
[9] Watanabe H 1989 Int. J Eng. Fluid Mechanics 2 93
[10] Fand R M, Kim B Y K, Lam A C C and Phan R T 1987 J. Fluids Eng. 109 268
[11] Tallmadge J A 1970 AIChE J. 16 1092
[12] Lee J S and Ogawa K 1974 J. Chem. Eng. Jpn. 27 691
[13] Comiti J and Renaud M 1989 Chem. Eng. Sci. 44 1539
[14] Seguin D, Montillet A, Comiti J and Huet F 1998 Chem. Eng. Sci. 53 3897
[15] Hicks R E 2002 Ind. Eng. Chem. Fundam. 9 114
[16] Yan X, Xiao Z J, Huang Y P and Wang F 2006 Nuclear Power Eng. 27 77 (in Chinese)
[17] Jamialahmadi M, Müller-Steinhagen H and Izadpanah M R 2008 Int. J. Heat Fluid Flow 26 156
[18] Wu J, Yu B M and Yun M J 2008 Transp. Porous Med. 71 331
[19] Wang Y B, Liu H F, Feng Y F, Zhang X X, Wu M L and Zhang D N 2003 Fuel Chem. Proc. 34 236 (in Chinese)
[20] Li Z P, Sun Z N and Liao Y H 2009 Appl. Sci. Technol. 36 61 (in Chinese)
[21] Kececioglu I and Jiang Y 1994 J. Fluid. Eng. 116 164
[22] Irmay S 1965 Transf. Water Porous Med. 29 36
[23] Macdonald I F, Elsayed M S, Mow K and Dullien F A L 1979 Ind. Eng. Chem. Fundam. 18 199
[24] Zheng K C, Wen Z, Wang Z S, Lou G F, Liu X L and Wu W F 2012 Acta Phys. Sin. 61 014401 (in Chinese)
[25] Jiang P X, Wang B X, Luo D A and Ren Z P 1996 Numerical Heat Transfer Applications 30 305
[26] Montillet A, Akkari E and Comiti J 2007 Chemical Engineering and Processing 46 329
[27] Jia Y P, Wang J F, Zheng K C, Zhang B, Pan G, Gong Z J and Wu W F 2016 Acta Phys. Sin. 65 100701 (in Chinese)
[28] Long T Y and Cai Z J 1999 Fluid Mechanics Pumps and Funs, 4th edn. (Beijing:China Architecture & Building Press) (in Chinese)
[29] Yu B M and Li J H 2004 Chin. Phys. Lett. 21 1569
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