A Particle Resistance Model for Flow through Porous Media
WU Jin-Sui1, YIN Shang-Xian2, ZHAO Dong-Yu3
1Department of Basic Teaching, North China University of Science and Technology, Beijing 1016012Faculty of Safety Engineering, North China Institute of Science and Technology, Beijing 1016013Faculty of Safety Engineering, China University of Mining and Technology, Xuzhou 221116
A Particle Resistance Model for Flow through Porous Media
WU Jin-Sui1, YIN Shang-Xian2, ZHAO Dong-Yu3
1Department of Basic Teaching, North China University of Science and Technology, Beijing 1016012Faculty of Safety Engineering, North China Institute of Science and Technology, Beijing 1016013Faculty of Safety Engineering, China University of Mining and Technology, Xuzhou 221116
摘要A particle model for resistance of flow in isotropic porous media is developed based on the fractal geometry theory and on the drag force flowing around sphere. The proposed model is expressed as a function of porosity, fluid property, particle size, fluid velocity (or Reynolds number) and fractal characters Df of particles in porous media. The model predictions are in good agreement with the experimental data. The validity of the proposed model is thus verified.
Abstract:A particle model for resistance of flow in isotropic porous media is developed based on the fractal geometry theory and on the drag force flowing around sphere. The proposed model is expressed as a function of porosity, fluid property, particle size, fluid velocity (or Reynolds number) and fractal characters Df of particles in porous media. The model predictions are in good agreement with the experimental data. The validity of the proposed model is thus verified.
WU Jin-Sui;YIN Shang-Xian;ZHAO Dong-Yu. A Particle Resistance Model for Flow through Porous Media[J]. 中国物理快报, 2009, 26(6): 64701-064701.
WU Jin-Sui, YIN Shang-Xian, ZHAO Dong-Yu. A Particle Resistance Model for Flow through Porous Media. Chin. Phys. Lett., 2009, 26(6): 64701-064701.
[1] Bird R B, Stewart W E and Lightfoot E N 1960 Transport Phenomena (New York: Wiley) chap 6 [2] Karl P and Denys F J 2003 Flow of Polymer Solutionsthrough Porous Media (Netherlands: Karl Denys) [3] Ergun S 1952 Chem. Engin. Prog. 48 89 [4] Hicks R E 1970 Ind. Eng. Chem. Fundam 9 500 [5] Nemec D and Levec J 2005 Chem. Engin. Sci. 606947 [6] MacDonald F et al 1979 Ind. Eng. Chem. Fundam 18 199 [7] Hill R J et al 2001 J. Fluid Mech. 448 243 [8] Wu J S et al 2008 Transport Porous Media 71331 [9] Wu J S et al 2007 Int. J. Heat Mass Transfer 50 3925 [10] Mandelbrot B B 1982 The Fractal Geometry of NatureW. H. Freeman (New York) 23. [11] Feder J and Aharony A 1989 Fractals in Physics(Amsterdam: North-Holland) [12] Warren T L and Krajcinovic D 1996 Wear 196 1 [13] Katz A J et al 1985 Phys. Rev. Lett. 54 1325 [14] Krohn C E and Thompson A H 1986 Phys. Rev. B 33 6366 [15] Mandelbrot B B et al 1984 Nature 308 721 [16] Xie H, Bhaskar R and Li J 1993 Minerals andMetallurgical Processing 10 36 [17] Yu B M et al 2002 Int. J. Heat Mass Transfer 45 2983 [18] Yu B M and Lee L J 2002 Polymers Compounds 23 201 [19] Karacan C O et al 2003 J. Petroleum Sci. Eng. 40 159 [20] Yu B M 2008 Appl. Mech. Rev. 61 050801 [21] Meng F G et al 2005 Membrane Science 262 107 [22] Yu B M and Li J H 2001 Fractals 9 365 [23] Bai K S 2005 Fluid Mech. Pump and Fan p 178 (inChinese) [24] Zhang G Q et al 2006 Fluid Mech. p 114 (in Chinese) [25] Kong X Y 1999 Advanced Mechanics of Fluids in PorousMedia p 21 (in Chinese) [26] Yu B M 2005 Chin. Phys. Lett. 22 158 [27] Yu J et al 2002 Appl. Thermal Engin. 22 641