Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem

doi:10.1088/1674-1056/28/8/084701

中国物理B ›› 2019, Vol. 28 ›› Issue (8): 84701-084701.doi: 10.1088/1674-1056/28/8/084701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem

Mai-Jia Liao(廖麦嘉), Ming-Tzo Wei(魏名佐), Shi-Xin Xu(徐士鑫), H Daniel Ou-Yang(歐陽新喬), Ping Sheng(沈平)

1 Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;
2 Department of Physics, Lehigh University, Bethlehem, PA, USA;
3 Department of Bioengineering, Lehigh University, Bethlehem, PA, USA;
4 Centre for Quantitative Analysis and Modelling(CQAM), The Fields Institute, Toronto, Ontario M5T 3J1, Canada

收稿日期:2019-07-19 出版日期:2019-08-05 发布日期:2019-08-05
通讯作者: H Daniel Ou-Yang, Ping Sheng E-mail:hdo0@lehigh.edu;sheng@ust.hk

Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem

Mai-Jia Liao(廖麦嘉)^1,2, Ming-Tzo Wei(魏名佐)³, Shi-Xin Xu(徐士鑫)⁴, H Daniel Ou-Yang(歐陽新喬)^2,3, Ping Sheng(沈平)¹

1 Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;
2 Department of Physics, Lehigh University, Bethlehem, PA, USA;
3 Department of Bioengineering, Lehigh University, Bethlehem, PA, USA;
4 Centre for Quantitative Analysis and Modelling(CQAM), The Fields Institute, Toronto, Ontario M5T 3J1, Canada

Received:2019-07-19 Online:2019-08-05 Published:2019-08-05
Contact: H Daniel Ou-Yang, Ping Sheng E-mail:hdo0@lehigh.edu;sheng@ust.hk

摘要/Abstract

摘要：

We measured the intrinsic electrophoretic drag coefficient of a single charged particle by optically trapping the particle and applying an AC electric field, and found it to be markedly different from that of the Stokes drag. The drag coefficient, along with the measured electrical force, yield a mobility-zeta potential relation that agrees with the literature. By using the measured mobility as input, numerical calculations based on the Poisson-Nernst-Planck equations, coupled to the Navier-Stokes equation, reveal an intriguing microscopic electroosmotic flow near the particle surface, with a well-defined transition between an inner flow field and an outer flow field in the vicinity of electric double layer's outer boundary. This distinctive interface delineates the surface that gives the correct drag coefficient and the effective electric charge. The consistency between experiments and theoretical predictions provides new insights into the classic electrophoresis problem, and can shed light on new applications of electrophoresis to investigate biological nanoparticles.

关键词: electrophoresis, drag coefficient, vortices belt, charged colloidal particle

Abstract:

Key words: electrophoresis, drag coefficient, vortices belt, charged colloidal particle

中图分类号: (Colloidal systems)

47.57.J-

82.45.-h (Electrochemistry and electrophoresis) 47.61.-k (Micro- and nano- scale flow phenomena)

廖麦嘉, 魏名佐, 徐士鑫, 歐陽新喬, 沈平. Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem[J]. 中国物理B, 2019, 28(8): 84701-084701.

Mai-Jia Liao(廖麦嘉), Ming-Tzo Wei(魏名佐), Shi-Xin Xu(徐士鑫), H Daniel Ou-Yang(歐陽新喬), Ping Sheng(沈平). Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem[J]. Chin. Phys. B, 2019, 28(8): 84701-084701.

参考文献 41

[39]	Batchelor C K and Batchelor G 1967 An Introduction to Fluid Dynamics (Cambridge: Cambridge University Press)
[1]	Russel W B, Saville D A and Schowalter W R 1992 Colloidal Dispersions (Cambridge: Cambridge University Press)
[40]	Liao M, Wan L, Xu S, Liu C and Sheng P 2016 Ann. Math. Sci. Appl. 1 217
[2]	Hunter R J 2001 Foundations of Colloid Science (Oxford: Oxford University Press)
[41]	Lauga E and Powers T R 2009 Rep. Prog. Phys. 72 096601 doi: 10.1088/0034-4885/72/9/096601
[3]	Lyklema J 1995 Fundam. Interface Colloid Science. Volume 2: Solid-Liquid Interfaces. With special contributions by de Keizer A, Bijsterbosch B H, Fleer G H, and Cohen Stuart M A
[4]	Dukhin S S and Deriaguine B V 1974 Surface and Colloid Science: Electrokinetic Phenomena: Translated from the Russian by Mistetsky A and Zimmerman M (New York: Plenum Press)
[5]	Reuss F F 1809 Natur. Moscou 2 327
[6]	Smoluchowski M 1924 Pisma Mariana Smoluchowskiego 1 403
[7]	Hückel E 1924 Zur Theorie der Elektrolyte (New York: Springer)
[8]	Henry D 1931 Proc. Roy. Soc. London A 133 106 doi: 10.1098/rspa.1931.0133
[9]	O'Brien R 1983 J. Coll. Interf. Sci. 92 204 doi: 10.1016/0021-9797(83)90129-7
[10]	Schnitzer O, Zeyde R, Yavneh I and Yariv E 2013 Phys. Fluids 25 052004 doi: 10.1063/1.4804672
[11]	Morrison F 1970 J. Coll. Interf. Sci. 34 210 doi: 10.1016/0021-9797(70)90171-2
[12]	Chang H C and Yeo L Y 2010 Electrokinetically Driven Microfluidics and Nanofluidics (Cambridge: Cambridge University Press)
[13]	Keh H J and Anderson J L 1985 J. Fluid Mech. 153 417 doi: 10.1017/S002211208500132X
[14]	Lizana L and Grosberg A Y 2013 Europhys. Lett. 104 68004 doi: 10.1209/0295-5075/104/68004
[15]	Semenov I, Otto O, Stober G, et al. 2009 J. Coll. Interf. Sci. 337 260 doi: 10.1016/j.jcis.2009.05.017
[16]	Todd B A and Cohen J A 2011 Phys. Rev. E 84 032401 doi: 10.1103/PhysRevE.84.032401
[17]	Galneder R, Kahl V, Arbuzova A, et al. 2001 Biophys. J. 80 2298 doi: 10.1016/S0006-3495(01)76201-7
[18]	Pesce G, Rusciano G, Sass A, et al. 2014 Coll. Surf. B: Biointerf. 116 568 doi: 10.1016/j.colsurfb.2014.01.039
[19]	Strubbe F, et al. 2013 Phys. Rev. X 3 021001
[20]	Otto O, Gutsche C, Kremer F and Keyser U F 2008 Rev. Sci. Inst. 79 023710 doi: 10.1063/1.2884147
[21]	Long D, Viovy J L and Ajdari A 1996 Phys. Rev. Lett. 76 3858 doi: 10.1103/PhysRevLett.76.3858
[22]	O'Brien R W and White L R 1978 J. Chem. Soc. Faraday Trans. 2 74 1607 doi: 10.1039/f29787401607
[23]	Zukoski C and Saville D A 1986 J. Coll. Interf. Sci. 114 45 doi: 10.1016/0021-9797(86)90239-0
[24]	Perkin S, Salanne M, Madden P and Lynden-Bell R 2013 Proc. Nat. Acad. Sci. USA 110 E4121
[25]	Bonnefont A, Argoul F and Bazant M Z 2001 J. Electroanaly. Chem. 500 52 doi: 10.1016/S0022-0728(00)00470-8
[26]	Gong Y K, Nakashima K and Xu R 2000 Langmuir 16 8546 doi: 10.1021/la000638o
[27]	Keyser U F, Koeleman B N, van Dorp S, et al. 2006 Nat. Phys. 2 473 doi: 10.1038/nphys344
[28]	van Dorp S, Keyser U F, Dekker N H, Dekker C and Lemay S G 2009 Nat. Phys. 5 347 doi: 10.1038/nphys1230
[29]	Wei M T, Junio J and Ou-Yang H D 2009 Biomicrof. 3 012003 doi: 10.1063/1.3058569
[30]	Happel J and Brenner H 2012 Low Reynolds Number Hydrodynamics: With Special Applications To Particulate Media (New York: Springer Science & Business Media) Vol. 1
[31]	Schäffer E, Norrelykke S F and Howard J 2007 Langmuir 23 3654 doi: 10.1021/la0622368
[32]	Ha C, Ou-Yang H D and Pak H K 2013 Physica A 392 3497 doi: 10.1016/j.physa.2013.04.014
[33]	Wang J, Wei M T, Cohen J A and Ou-Yang H D 2013 Electrophoresis 34 1915 doi: 10.1002/elps.201200614
[34]	Minor M, van der Linde A J, van Leeuwen H P and Lyklema J 1997 J. Coll. Interf. Sci. 189 370 doi: 10.1006/jcis.1997.4844
[35]	Barrat J, Barrat J L and Joanny J F 1996 Adv. Chem. Phys. 94 1
[36]	Chen W, Tan S S, Huang Z S, et al. 2006 Phys. Rev. E 74 021406 doi: 10.1103/PhysRevE.74.021406
[37]	Yan E C, Liu Y and Eisenthal K B 1998 J. Phys. Chem. B 102 6331
[38]	Wan L, Xu S, Liao M, Liu C and Sheng P 2014 Phys. Rev. X 4 011042
[39]	Batchelor C K and Batchelor G 1967 An Introduction to Fluid Dynamics (Cambridge: Cambridge University Press)
[40]	Liao M, Wan L, Xu S, Liu C and Sheng P 2016 Ann. Math. Sci. Appl. 1 217
[41]	Lauga E and Powers T R 2009 Rep. Prog. Phys. 72 096601 doi: 10.1088/0034-4885/72/9/096601

Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem

Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 41

相关文章 6

Metrics

本文评价

推荐阅读 0

[1]	Bing Yan(严兵), Bo Chen(陈波), Zerui Peng(彭泽瑞), and Yong-Liang Xiong(熊永亮). Particle captured by a field-modulating vortex through dielectrophoresis force[J]. 中国物理B, 2022, 31(3): 34703-034703.
[2]	Bing Yan(严兵), Bo Chen(陈波), Yongliang Xiong(熊永亮), and Zerui Peng(彭泽瑞). Effect of Joule heating on the electroosmotic microvortex and dielectrophoretic particle separation controlled by local electric field[J]. 中国物理B, 2021, 30(11): 114701-114701.
[3]	杨凤云, 王凯歌, 孙聃, 赵伟, 王海青, 何鑫, 王归仁, 白晋涛. Direct observation of λ -DNA molecule reversal movement within microfluidic channels under electric field with single molecule imaging technique[J]. 中国物理B, 2016, 25(7): 78201-078201.
[4]	王志强, 颜志波, 秦明辉, 高兴森, 刘俊明. Dynamic resistive switching in a three-terminal device based on phase separated manganites[J]. , 2015, 24(3): 37101-037101.
[5]	魏芹芹, 魏子钧, 任黎明, 赵华波, 叶天扬, 施祖进, 傅云义, 张兴, 黄如. Vertical assembly of carbon nanotubes for via interconnects[J]. 中国物理B, 2012, 21(8): 88103-088103.
[6]	姜洪源, 任玉坤, 陶冶. Microwire formation based on dielectrophoresis of electroless gold plated polystyrene microspheres[J]. 中国物理B, 2011, 20(5): 57701-057701.