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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

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
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  • 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.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11074300).
    [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]
  • [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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Publishing process
  • Received Date:  09 January 2012
  • Accepted Date:  12 March 2012
  • Published Online:  05 July 2012

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

  • 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
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 11074300).

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.

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