-
We have studied the effective diffusion coefficient of permeable particles with different radii at different permeability and volume fractions by using the numerical simulation results of short-time diffusion dynamics of permeable particles in concentrated suspensions and the combination of Cohen-de Schepper and Percus-Yevick approximations. As a result, the diffusivity of particles having the same radius will increase monotonically with increasing permeability to a certain volume fraction, and decrease linearly with increasing volume fraction to a certain permeability. While the effect of particle radius on the measured effective diffusion coefficients for the permeable particles with larger wave-numbers at the same ratio of particle radius to the hydrodynamic penetration depth may be neglected.
-
Keywords:
- permeable particles /
- effective diffusion coefficient /
- volume fraction /
- Brownian short-time regime
[1] Brinkman H C 1949 Appl. Sci. Res. 1 27
[2] [3] Batchelor G K 1976 J. Fluid Mech. 74 1
[4] [5] Kao M H, Yodh A G, Pine D J 1993 Phys, Rev. Lett. 70 242
[6] [7] Petekidis G, Gapinski J, Seymour P, van Duijneveldt J S, Vlassopoulos D, Fytas G 2004 Phys. Rev. E 69 042401
[8] [9] Eckert T, Richtering W 2008 J. Chem. Phys. 129 124902
[10] [11] Purnomo E H, van den Ende D, Vanapalli S A, Mugele F 2008 Phys. Rev. Lett. 101 238301
[12] Prakash J, Raja Sekhar G P 2013 Math. Meth. Appl. Sci. 36 2174
[13] [14] Cichocki B, Ekiel-Jeżewska M L, Wajnryb E 2013 Colloids Surf. A 418 22
[15] [16] Deng W, Yu X, Sahimi M, Tsotsis TT 2014 J. Membr. Sci. 451 192
[17] [18] [19] Yan G J, Chen G D, Wu Y L 2009 Chin. Phys. B 18 2925
[20] Zeng P, Zhang P, Hu M, Ma S Y, Yan W J 2014 Chin. Phys. B 23 058103
[21] [22] Kong D S, Wang J M, Pi O Y, Shao H B, Zhang J Q 2011 Acta Phys. Chim. Sin. 27 764 (in Chinese) [孔德帅, 王建明, 皮欧阳, 邵海波, 张鉴清 2011 物理化学学报 27 764]
[23] [24] Lei J M, Lv L, Liu L, Xu X L 2011 Acta Phys. Sin. 60 017501 (in Chinese) [雷洁梅, 吕柳, 刘玲, 许小亮 2011 物理学报 60 017501]
[25] [26] Dong C S, Gu Y, Zhong M L, Ma M X, Huang T, Liu W J 2012 Acta Phys. Sin. 61 094211 (in Chinese) [董长胜, 谷雨, 钟敏霖, 马明星, 黄婷, 刘文今 2012 物理学报 61 094211]
[27] [28] [29] Lu C Y, Yuan B, Yang K 2013 Acta Phys. Sin. 62 178701 (in Chinese) [陆乃彦, 元冰, 杨恺 2013 物理学报 62 178701]
[30] Chen S B, Cai A 1999 J. Colloid Interface Sci. 217 328
[31] [32] Mo G, Sangani A S 1994 Phys. Fluids 6 1637
[33] [34] Abade G C, Cichocki B, Ekiel-Jeżewska M L, Ngele G, Wajnryb E 2010 J. Chem. Phys. 132 014503
[35] [36] Debye P, Bueche A M 1948 J. Chem. Phys. 16 573
[37] [38] Neale G, Epstein N, Nader W 1973 Chem. Eng. Sci. 28 1865
[39] [40] Ooms G, Mijnlieff P F, Beckers H L 1970 J. Chem. Phys 53 4123
[41] [42] Yu Q, Kaloni P N 1988 J. Eng. Maths. 22 177
[43] [44] Cichocki B, Ekiel-Jeżewska M L, Ngele G, Wajnryb E 2011 Phys. Fluids 23 083303
[45] [46] Xia H, Ishii K, Iwaii T, Li H J, Yang B C 2008 Appl. Opt. 47 1257
[47] [48] Ma X Y, Lu J Q, Brock R S, Jacobs K M, Yang P, Hu X H 2003 Phys. Med. Biol. 48 4165
[49] [50] Cohen E G D, De Schepper I M 1995 Phys. Rev. Lett. 75 2252
[51] -
[1] Brinkman H C 1949 Appl. Sci. Res. 1 27
[2] [3] Batchelor G K 1976 J. Fluid Mech. 74 1
[4] [5] Kao M H, Yodh A G, Pine D J 1993 Phys, Rev. Lett. 70 242
[6] [7] Petekidis G, Gapinski J, Seymour P, van Duijneveldt J S, Vlassopoulos D, Fytas G 2004 Phys. Rev. E 69 042401
[8] [9] Eckert T, Richtering W 2008 J. Chem. Phys. 129 124902
[10] [11] Purnomo E H, van den Ende D, Vanapalli S A, Mugele F 2008 Phys. Rev. Lett. 101 238301
[12] Prakash J, Raja Sekhar G P 2013 Math. Meth. Appl. Sci. 36 2174
[13] [14] Cichocki B, Ekiel-Jeżewska M L, Wajnryb E 2013 Colloids Surf. A 418 22
[15] [16] Deng W, Yu X, Sahimi M, Tsotsis TT 2014 J. Membr. Sci. 451 192
[17] [18] [19] Yan G J, Chen G D, Wu Y L 2009 Chin. Phys. B 18 2925
[20] Zeng P, Zhang P, Hu M, Ma S Y, Yan W J 2014 Chin. Phys. B 23 058103
[21] [22] Kong D S, Wang J M, Pi O Y, Shao H B, Zhang J Q 2011 Acta Phys. Chim. Sin. 27 764 (in Chinese) [孔德帅, 王建明, 皮欧阳, 邵海波, 张鉴清 2011 物理化学学报 27 764]
[23] [24] Lei J M, Lv L, Liu L, Xu X L 2011 Acta Phys. Sin. 60 017501 (in Chinese) [雷洁梅, 吕柳, 刘玲, 许小亮 2011 物理学报 60 017501]
[25] [26] Dong C S, Gu Y, Zhong M L, Ma M X, Huang T, Liu W J 2012 Acta Phys. Sin. 61 094211 (in Chinese) [董长胜, 谷雨, 钟敏霖, 马明星, 黄婷, 刘文今 2012 物理学报 61 094211]
[27] [28] [29] Lu C Y, Yuan B, Yang K 2013 Acta Phys. Sin. 62 178701 (in Chinese) [陆乃彦, 元冰, 杨恺 2013 物理学报 62 178701]
[30] Chen S B, Cai A 1999 J. Colloid Interface Sci. 217 328
[31] [32] Mo G, Sangani A S 1994 Phys. Fluids 6 1637
[33] [34] Abade G C, Cichocki B, Ekiel-Jeżewska M L, Ngele G, Wajnryb E 2010 J. Chem. Phys. 132 014503
[35] [36] Debye P, Bueche A M 1948 J. Chem. Phys. 16 573
[37] [38] Neale G, Epstein N, Nader W 1973 Chem. Eng. Sci. 28 1865
[39] [40] Ooms G, Mijnlieff P F, Beckers H L 1970 J. Chem. Phys 53 4123
[41] [42] Yu Q, Kaloni P N 1988 J. Eng. Maths. 22 177
[43] [44] Cichocki B, Ekiel-Jeżewska M L, Ngele G, Wajnryb E 2011 Phys. Fluids 23 083303
[45] [46] Xia H, Ishii K, Iwaii T, Li H J, Yang B C 2008 Appl. Opt. 47 1257
[47] [48] Ma X Y, Lu J Q, Brock R S, Jacobs K M, Yang P, Hu X H 2003 Phys. Med. Biol. 48 4165
[49] [50] Cohen E G D, De Schepper I M 1995 Phys. Rev. Lett. 75 2252
[51]
Catalog
Metrics
- Abstract views: 5581
- PDF Downloads: 792
- Cited By: 0
下载:
