浓悬浮液中渗透性颗粒的扩散特性研究

杨伟国; 钟诚; 夏辉

doi:10.7498/aps.63.214705

摘要

本文利用浓悬浮液中渗透性颗粒的短时扩散动力学数值模拟的结论,并结合Cohen-de Schepper近似和Percus-Yevick近似,研究了不同粒径渗透性颗粒的有效扩散系数随体积分数和渗透率的变化关系. 结果表明:对于浓悬浮液中一定粒径的渗透性颗粒,其扩散系数随渗透率的增加而增加,随体积分数的增加而减少;具有相同粒径与流体动力学屏蔽深度比值且波数较大的渗透性颗粒,其粒径对扩散的影响可以忽略.

关键词:

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:

作者及机构信息

1.
中南大学物理与电子学院, 长沙 410083

基金项目: 国家自然科学基金(批准号:60708014)和中南大学中央高校基本科研业务费专项资金(批准号:2013zzts153)资助的课题.

Authors and contacts

1.
School of Physics and Electronics, Central South University, Changsha 410083, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60708014), and the Fundamental Research Funds for the Central Universities of Central South University, China (Grant No. 2013zzts153).

参考文献

[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 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 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 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]

施引文献

[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 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 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 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]

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