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Movement of a droplet on a structured substrate: A dissipative particle dynamics simulation study

Yao Yi Zhou Zhe-Wei Hu Guo-Hui

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Movement of a droplet on a structured substrate: A dissipative particle dynamics simulation study

Yao Yi, Zhou Zhe-Wei, Hu Guo-Hui
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  • The last decade has witnessed the explosive development of microfluidic systems. Droplet manipulation is one of the crucial technologies in design and optimization of microfluidic devices. In the present study, dissipative particle dynamics is applied to investigate the movement of a liquid droplet actuated by a constant force on structured substrate with different wetting properties ranging from hydrophilic to hydrophobic. By monitoring the variation of the advancing contact angle and the front position of droplet, the characteristics of the droplet motion is analyzed in detail. Results indicate that there exists an optimal structure for which the droplet has a largest speed. Additionally, the influences of wettability gradient, thermal fluctuation and external force are discussed. We find thermal fluctuation is helpful for the movement of droplet.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11272197), Doctoral Fund of Ministry of Education of China (Grant No. 20103108110004), and the Shanghai Program for Innovative Research Team in Universities.
    [1]

    Fan X, Phan-Thien N, Chen S, Wu X, Ng T Y 2006 Phys. Fluids. 18 063102

    [2]

    de Gans B J, Schubert U S 2003 Macromol. Rapid. Commun. 24 659

    [3]

    Chaudhury M K, Whitesides G M 1992 Science 256 5063

    [4]

    Das A, Das P 2010 Langmuir 26 9547

    [5]

    Shi Z Y, Hu G H, Zhou Z W 2010 Acta. Phys. Sin. 59 2595 (in Chinese) [石自媛, 胡国辉, 周哲玮 2010 物理学报 59 2595]

    [6]

    Li Z 2011 Ph.D. Dissertation (Shanghai: Shanghai University) (in Chinese) [李振 2011 博士学位论文 (上海: 上海大学)]

    [7]

    Cassie A, Baxter S 1944 Tran. Fara. Soci. 40 546

    [8]

    Ou J, Perot B, Rothstein J P 2004 Phys.Fluids 16 4635

    [9]

    Davies J, Maynes D, Webb B, Woolford B 2006 Phys.Fluids. 18 087110

    [10]

    Ou J, Rothstein JP 2005 Phy. Fluids. 17 103606

    [11]

    Johnson Jr R, Dettre R 1964 Adv. Chem. Ser. 43 112

    [12]

    Zu Y, Yan Y, Li J, Han Z 2010 J.Bionic. Eng. 7 191

    [13]

    Huang J J, Shu C, Chew Y, Zheng H 2007 Int. J. Modern Phys. C 18 492

    [14]

    Huang J J, Shu C, Chew YT 2009 Phy. Fluids 21 022103

    [15]

    Yang C W, He F, Hao P F 2010 Science In China 10 1545 (in Chinese) [杨常卫, 何枫, 郝鹏飞 2010 中国科学 10 1545]

    [16]

    Yao Z H, Hao P F, Zhang X W, He F 2012 Chinese. Sci. Bull. 57 1095

    [17]

    Zhang M K, Chen S, Shang Z 2012 Acta. Phys. Sin. 61 34701 (in Chinese) [张明焜, 陈硕, 尚智 2012 物理学报 61 34701]

    [18]

    Hoogerbrugge P J, Koelman J 1992 Europhys. LeTt. 19 155

    [19]

    Rapaport D C 2004 The art of molecular dynamics simulation (England: Cambridge university press) p12

    [20]

    Hardy J, De Pazzis O, Pomeau Y 1976 Phys. Rev. A 13 1949

    [21]

    Groot R D, Madden T J 1998 J. Chem. Phy. 108 8713

    [22]

    Espańol P 1996 Phys. Rev. E 53 1572

    [23]

    Jiang W, Huang J, Wang Y, Laradji M J. Chem. Phys. 126 044901

    [24]

    Chen S, Shang Z, Zhao Y 2010 J. Tongji. University 38 767 (in Chinese) [陈硕, 尚智, 赵岩, 王丹 2010 同济大学学报 38 767]

    [25]

    Liba O, Kauzlarić D, Abrams Z R, Hanein Y, Greiner A, Korvink J G 2008 Mol. Simulat. 34 737

    [26]

    Li Z, Zhou Z W, Hu G H 2012 J. Adhes. Sci. Technol. 26 1883

    [27]

    Li H X, Qiang H F 2009 Adv. Mech. 39 165 (in Chinese) [李红霞, 强洪夫 2009 力学进展 39 165]

    [28]

    Chen S, Zhao Y, Fan X J 2006 Bull. Sci. Tech. 22 596 (in Chinese) [陈硕, 赵钧, 范西俊 2006 科技通报 22 596]

    [29]

    Li Z, Hu G H, Zhou Z W 2009 Mechanics and Engineering (in Chinese) [李振, 胡国辉, 周哲玮 2009 力学与工程]

    [30]

    Davidovitch B, Moro E, Stone H A 2005 Phys. Rev. Lett. 95 244505

    [31]

    Rauscher M, Dietrich S 2008 Annu. Rev. Mater. Res. 38 143

    [32]

    Moseler M, Landman U 2000 Sci. 289 1165

    [33]

    Groot R D, Warren P B 1997 J. Chem. Phys. 107 4423

    [34]

    Warren P B 2003 Phys. Rev. E 68 066702

    [35]

    Liu M B, Meakin P, Huang H 2007 J. Computational. Phys. 222 110

    [36]

    Liu M B, Meakin P, Huang H 2007 Phys. Fluids 19 033302

    [37]

    Liu M B, Meakin P, Huang H 2006 Phys. Fluids 18 017101

    [38]

    Chang J Z, Liu M B, Liu H T 2008 Acta. Phys. Sin. 57 3954 (in Chinese) [常建忠, 刘谋斌, 刘汉涛 2008 物理学报 57 3954]

    [39]

    Wang X L, Chen S 2010 Acta. Phys. Sin. 10 6778 (in Chinese) [王晓亮, 陈硕 2010 物理学报 10 6778]

    [40]

    Cupelli C, Henrich B, Glatzel T, Zengerle R, Moseler M, Santer M 2008 New. J. Phys. 10 043009

    [41]

    Tiwari A, Abraham J 2008 Microfluid. Nanofluid 4 227

    [42]

    Pagonabarraga I, Frenkel D 2001 J. Chem. Phys. 115 5015

    [43]

    Espanol P, Warren P 1995 Europhys. Lett. 30 191

    [44]

    Merabia S, Pagonabarraga I 2006 Eur. Phys. J. E 20 209

    [45]

    Revenga M, Zuniga I, Espanol P 1998 Int. J. Mod. Phys. 9 1319

    [46]

    Nikunen P, Karttunen M, Vattulainen I 2003 Comput. Phys. Commun. 153 407

    [47]

    Marmur A 2006 Soft. Matter. 2 12

    [48]

    Decker E, Frank B, Suo Y, Garoff S 1999 Colloids. Sur. A 156 177

    [49]

    Wenzel R N 1994 J. Phys. Chem. 53 1466

    [50]

    Patankar N A 2004 Langmuir. 20 7097

  • [1]

    Fan X, Phan-Thien N, Chen S, Wu X, Ng T Y 2006 Phys. Fluids. 18 063102

    [2]

    de Gans B J, Schubert U S 2003 Macromol. Rapid. Commun. 24 659

    [3]

    Chaudhury M K, Whitesides G M 1992 Science 256 5063

    [4]

    Das A, Das P 2010 Langmuir 26 9547

    [5]

    Shi Z Y, Hu G H, Zhou Z W 2010 Acta. Phys. Sin. 59 2595 (in Chinese) [石自媛, 胡国辉, 周哲玮 2010 物理学报 59 2595]

    [6]

    Li Z 2011 Ph.D. Dissertation (Shanghai: Shanghai University) (in Chinese) [李振 2011 博士学位论文 (上海: 上海大学)]

    [7]

    Cassie A, Baxter S 1944 Tran. Fara. Soci. 40 546

    [8]

    Ou J, Perot B, Rothstein J P 2004 Phys.Fluids 16 4635

    [9]

    Davies J, Maynes D, Webb B, Woolford B 2006 Phys.Fluids. 18 087110

    [10]

    Ou J, Rothstein JP 2005 Phy. Fluids. 17 103606

    [11]

    Johnson Jr R, Dettre R 1964 Adv. Chem. Ser. 43 112

    [12]

    Zu Y, Yan Y, Li J, Han Z 2010 J.Bionic. Eng. 7 191

    [13]

    Huang J J, Shu C, Chew Y, Zheng H 2007 Int. J. Modern Phys. C 18 492

    [14]

    Huang J J, Shu C, Chew YT 2009 Phy. Fluids 21 022103

    [15]

    Yang C W, He F, Hao P F 2010 Science In China 10 1545 (in Chinese) [杨常卫, 何枫, 郝鹏飞 2010 中国科学 10 1545]

    [16]

    Yao Z H, Hao P F, Zhang X W, He F 2012 Chinese. Sci. Bull. 57 1095

    [17]

    Zhang M K, Chen S, Shang Z 2012 Acta. Phys. Sin. 61 34701 (in Chinese) [张明焜, 陈硕, 尚智 2012 物理学报 61 34701]

    [18]

    Hoogerbrugge P J, Koelman J 1992 Europhys. LeTt. 19 155

    [19]

    Rapaport D C 2004 The art of molecular dynamics simulation (England: Cambridge university press) p12

    [20]

    Hardy J, De Pazzis O, Pomeau Y 1976 Phys. Rev. A 13 1949

    [21]

    Groot R D, Madden T J 1998 J. Chem. Phy. 108 8713

    [22]

    Espańol P 1996 Phys. Rev. E 53 1572

    [23]

    Jiang W, Huang J, Wang Y, Laradji M J. Chem. Phys. 126 044901

    [24]

    Chen S, Shang Z, Zhao Y 2010 J. Tongji. University 38 767 (in Chinese) [陈硕, 尚智, 赵岩, 王丹 2010 同济大学学报 38 767]

    [25]

    Liba O, Kauzlarić D, Abrams Z R, Hanein Y, Greiner A, Korvink J G 2008 Mol. Simulat. 34 737

    [26]

    Li Z, Zhou Z W, Hu G H 2012 J. Adhes. Sci. Technol. 26 1883

    [27]

    Li H X, Qiang H F 2009 Adv. Mech. 39 165 (in Chinese) [李红霞, 强洪夫 2009 力学进展 39 165]

    [28]

    Chen S, Zhao Y, Fan X J 2006 Bull. Sci. Tech. 22 596 (in Chinese) [陈硕, 赵钧, 范西俊 2006 科技通报 22 596]

    [29]

    Li Z, Hu G H, Zhou Z W 2009 Mechanics and Engineering (in Chinese) [李振, 胡国辉, 周哲玮 2009 力学与工程]

    [30]

    Davidovitch B, Moro E, Stone H A 2005 Phys. Rev. Lett. 95 244505

    [31]

    Rauscher M, Dietrich S 2008 Annu. Rev. Mater. Res. 38 143

    [32]

    Moseler M, Landman U 2000 Sci. 289 1165

    [33]

    Groot R D, Warren P B 1997 J. Chem. Phys. 107 4423

    [34]

    Warren P B 2003 Phys. Rev. E 68 066702

    [35]

    Liu M B, Meakin P, Huang H 2007 J. Computational. Phys. 222 110

    [36]

    Liu M B, Meakin P, Huang H 2007 Phys. Fluids 19 033302

    [37]

    Liu M B, Meakin P, Huang H 2006 Phys. Fluids 18 017101

    [38]

    Chang J Z, Liu M B, Liu H T 2008 Acta. Phys. Sin. 57 3954 (in Chinese) [常建忠, 刘谋斌, 刘汉涛 2008 物理学报 57 3954]

    [39]

    Wang X L, Chen S 2010 Acta. Phys. Sin. 10 6778 (in Chinese) [王晓亮, 陈硕 2010 物理学报 10 6778]

    [40]

    Cupelli C, Henrich B, Glatzel T, Zengerle R, Moseler M, Santer M 2008 New. J. Phys. 10 043009

    [41]

    Tiwari A, Abraham J 2008 Microfluid. Nanofluid 4 227

    [42]

    Pagonabarraga I, Frenkel D 2001 J. Chem. Phys. 115 5015

    [43]

    Espanol P, Warren P 1995 Europhys. Lett. 30 191

    [44]

    Merabia S, Pagonabarraga I 2006 Eur. Phys. J. E 20 209

    [45]

    Revenga M, Zuniga I, Espanol P 1998 Int. J. Mod. Phys. 9 1319

    [46]

    Nikunen P, Karttunen M, Vattulainen I 2003 Comput. Phys. Commun. 153 407

    [47]

    Marmur A 2006 Soft. Matter. 2 12

    [48]

    Decker E, Frank B, Suo Y, Garoff S 1999 Colloids. Sur. A 156 177

    [49]

    Wenzel R N 1994 J. Phys. Chem. 53 1466

    [50]

    Patankar N A 2004 Langmuir. 20 7097

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Publishing process
  • Received Date:  17 December 2012
  • Accepted Date:  14 January 2013
  • Published Online:  05 July 2013

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