Elecrohydrodynamical characteristics of liquid film motor driven by a square-wave electrophoresis electric field

Liu Zhong-Qiang; Gan Kong-Yin; Li Ying-Jun; Jiang Su-Rong

doi:10.7498/aps.61.134703

Abstract

Liquid film motor as a novel experimental device will play an important role in basic research and technology applications. In-depth theoretical studies on its electro-hydrodynamics (EHD) motions under various conditions are of great significance. In current paper, the dynamical characteristics of the liquid film motor driven by a square-wave electrophoresis electric field perpendicular to a uniform constant external electric field are investigated. Space-time dependence of the film's rotation linear velocity is derived analytically. The theoretical results indicate that a symmetrical reciprocating rotation in the film gradually converts to a vibration as the frequency of the electrophoresis electric field increases. This not only helps us understand the physical origin of the vibration of the liquid film motor, but also provides a new option to design a liquid film mixer in the application.

Keywords:

Authors and contacts

1.
State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China;
2.
Qindao College, Qingdao Technological University, Qingdao 266106, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11074300).

References

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[2]
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[58]
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[62]
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[64]
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[66]
[67]	Emary C, Brandes T 2003 Phys. Rev. E 67 066203
[68]
[69]	Apostol M 2009 Phys. Lett. A 373 379
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[72]
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[74]
[75]	Del Giudice E, Spinetti P R, Tedeschi A 2010 Water 2 566
[76]	Zheng J M, Chin W C, Khijniak E, Khijniak J E, Pollack G H 2006 Adv. Coll. Inter. Sci. 23 19
[77]
[78]	Widom A, Swain J, Silverberg J, Sivasubramanian S, Srivastava Y N 2009 Phys. Rev. E 80 016301
[79]
[80]
[81]	Luo L, Klapp S H L, Chen X S 2011 J. Chem. Phys. 135 134701
[82]
[83]	Luo L, Chen X S 2011 Sci. China Phys. Mech. Astron. 54 1555
[84]
[85]	Fuchs E C, Baroni P, Bitschnau B, Noirez L 2010 J. Phys. D 43 105502
[86]
[87]	Gandhi M V, Thompson B S 1992 Smart Materials and Structures (1st Ed.) (London, New York, Tokyo, Victoria, Madras: Chapman Hall) pp137-158
[88]
[89]	Wang Z W, Lin Z F, Tao R B 1996 Acta Phys. Sin. 45 0640 (in Chinese) [王作维, 林志方, 陶瑞宝 1996 物理学报 45 0640]
[90]	Bingham E C 1916 Bulletin US Bureau of Standards 13 309
[91]
[92]	Steffe J F 1996 Rheological Methods in Food Process Engineering (2nd Ed.) (East Lansing, Mich.: Freeman Press) pp20-26
[93]
[94]

Cited By

[1]	Gennes P G D,Prost J 1995 The Physics of Liquid Crystals (2nd Ed.) (New York: Oxford University) pp230-244
[2]
[3]	Chandrasekhar S 1992 Liquid Crystals (2nd Ed.) (New York: Cambridge University) pp177-213
[4]
[5]	Xu Z D, Liu Y F, Xiang Y, Yang J, You S J, She W L 1999 Acta Phys. Sin. 48 2283 (in Chinese) [徐则达, 刘焰发, 项颖, 杨杰, 游石基, 佘卫龙 1999 物理学报 48 2283]
[6]
[7]	Sonin A A 1998 Freely Suspended Liquid Crystalline Films (1st Ed.) (New York:John Wiley Sons) pp113-131
[8]
[9]	Faetti S, Fronzoni L, Rolla P A 1983 J. Chem. Phys. 79 5054
[10]
[11]	Faetti S, Fronzoni L, Rolla P A 1983 J. Chem. Phys. 79 1427
[12]
[13]	Morris S W, de Bruyn J R, May A D 1990 Phys. Rev. Lett. 65 2378
[14]
[15]	Daya Z A, Morris S W, de Bruyn J R 1997 Phys. Rev. E 55 2682
[16]
[17]	Ramos A, Morgan H, Green N G, Castellanos A 1998 J. Phys. D: Appl. Phys. 31 2338
[18]
[19]	Shirsavar R, Amjadi A, Radja N H, Niry M D, Tabar M R R, Ejtehadi M R 2006 arXiv:condmat/0605029 [cond-mat.soft]
[20]	Amjadi A, Shirsavar R, Radja N H,Ejtehadi M R 2008 arXiv:0805.0490 [cond-mat.soft]
[21]
[22]
[23]	Amjadi A, Shirsavar R, Radja N H, Ejtehadi M R 2009 Microfluid Nanofluid 6 711
[24]	Shirsavar R, Amjadi A, Tonddast-Navaei A, Ejtehadi M R 2011 Exp. Fluids 50 419
[25]
[26]	Shiryaeva E V, Vladimirov V A, Zhukov M Y 2009 Phys. Rev. E 80 041603
[27]
[28]
[29]	Grosu F P, Bologa M K 2010 Surf. Eng. Appl. Electrochem. 46 43
[30]
[31]	Liu Z Q, Li Y J, Zhang G C, Jiang S R 2011 Phys. Rev. E 83 026303
[32]	Liu Z Q, Zhang G C, Li Y J, Jiang S R 2012 Phys. Rev. E 85 036314
[33]
[34]	Del Giudice E, Preparata G, Vitiello G 1988 Phys. Rev. Lett. 61 1085
[35]
[36]
[37]	Sivasubramanian S, Widom A, Srivastava Y N 2005 Physica A 345 356
[38]
[39]	Del Giudice E, Vitiello G 2006 Phys. Rev. A 74 022105
[40]	Preparata G 1995 QED Coherence in Matter (1st Ed.) (Singapore, New Jersey, London, Hong Kong: World Scientific) pp195-219
[41]
[42]
[43]	Preparata G 1988 Phys. Rev. A 38 233
[44]
[45]	Arani R, Bono I, Del Giudice E, Preparata G 1995 Int. J. Mod. Phys. B 9 1813
[46]
[47]	Del Giudice E, Preparata G 1998 Macroscopic Quantum Coherence (1st Ed.) (Singapore:World Scientific) pp49-64
[48]	Del Giudice E 2007 J. Phys.: Conf. Ser. 67 012006
[49]
[50]	Buzzacchi M, Del Giudice E, Preparata G 2002 Int. J. Mod. Phys. B 16 3771
[51]
[52]
[53]	Del Giudice E, Galimberti A, Gamberale L, Preparata G 1995 Mod. Phys. Lett. 9 953
[54]
[55]	Del Giudice E, Fleischmann M, Preparata G, Talpo G 2002 Bioelectromagnetics 23 522
[56]
[57]	Del Giudice E, Preparata G, Fleischmann M 2000 J. Elec. Chem. 482 110
[58]
[59]	Sivasubramanian S, Widom A, Srivastava Y N 2001 Physica A 301 241
[60]
[61]	Sivasubramanian S, Widom A, Srivastava Y N 2001 Int. J. Mod. Phys. B 15 537
[62]
[63]	Sivasubramanian S, Widom A, Srivastava Y N 2002 Mod. Phys. Lett. B 16 1201
[64]
[65]	Sivasubramanian S, Widom A, Srivastava Y N 2003 J. Phys. Condens. Matter 15 1109
[66]
[67]	Emary C, Brandes T 2003 Phys. Rev. E 67 066203
[68]
[69]	Apostol M 2009 Phys. Lett. A 373 379
[70]
[71]	Yinnon C A, Yinnon T A 2009 Mod. Phys. Lett. B 23 1959
[72]
[73]	Huang C, Wikfeldt K T, Tokushima T, Nordlund D, Harada Y, Bergmann U, Niebuhr M, Weiss T M, Horikawa Y, Leetmaa M, Ljungberg M P, Takahashi O, Lenz A, Ojame L, Lyubartsev A P, Shin S, Pettersson L G M, Nilsson A 2009 Proc. Natl. Acad. Sci. USA 106 15214
[74]
[75]	Del Giudice E, Spinetti P R, Tedeschi A 2010 Water 2 566
[76]	Zheng J M, Chin W C, Khijniak E, Khijniak J E, Pollack G H 2006 Adv. Coll. Inter. Sci. 23 19
[77]
[78]	Widom A, Swain J, Silverberg J, Sivasubramanian S, Srivastava Y N 2009 Phys. Rev. E 80 016301
[79]
[80]
[81]	Luo L, Klapp S H L, Chen X S 2011 J. Chem. Phys. 135 134701
[82]
[83]	Luo L, Chen X S 2011 Sci. China Phys. Mech. Astron. 54 1555
[84]
[85]	Fuchs E C, Baroni P, Bitschnau B, Noirez L 2010 J. Phys. D 43 105502
[86]
[87]	Gandhi M V, Thompson B S 1992 Smart Materials and Structures (1st Ed.) (London, New York, Tokyo, Victoria, Madras: Chapman Hall) pp137-158
[88]
[89]	Wang Z W, Lin Z F, Tao R B 1996 Acta Phys. Sin. 45 0640 (in Chinese) [王作维, 林志方, 陶瑞宝 1996 物理学报 45 0640]
[90]	Bingham E C 1916 Bulletin US Bureau of Standards 13 309
[91]
[92]	Steffe J F 1996 Rheological Methods in Food Process Engineering (2nd Ed.) (East Lansing, Mich.: Freeman Press) pp20-26
[93]
[94]

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Vol. 61, Issue 13 - 2012-07-05

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