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针对含非溶性活性剂的液膜在固体基底上的去润湿过程，基于润滑理论建立了基态和扰动态下液膜厚度和表面活性剂浓度的演化模型，应用非模态理论分析了演化过程的稳定性特征，探讨了分子间力对液膜去润湿过程的影响. 研究表明，微扰动波的引入（k=1）有利于液膜去润湿过程的稳定进行，扰动能量逐渐衰减，然而，该效果随着扰动波数的增加而显著改变，k ≥ 2时，液膜演化的稳定性反而恶化，扰动能量被逐步放大，演化呈现出非稳定特征. 增大初始液膜厚度可以有效改善液膜流动的稳定性. 范德华力放大了液膜表面的微扰动，使得液膜演化的稳定性下降；相反，Born斥力和静电斥力具有增强去润湿稳定性的作用.Considering the process of insoluble-surfactant-laden film dewetting on a solid substrate, we have established the base state and disturbance evolution equations for the film thickness and interfacial surfactant concentrations based on the lubrication approximation. Transient growth analysis (TGA) was carried out to investigate the stability characteristics of evolution process, and the effects of intermolecular forces were discussed. Results indicate that the introduction of disturbance wave for k=1 is conducive to enhance the stability of film evolution, and the disturbance energy gradually decays; however, the effect changes unexpectedly with the increment of wave number: when k ≥ 2, the stability of dewetting process is deteriorated while disturbance energy grows by degrees and the film flow shows unstable characteristics. Thickening the initial film thickness can effectively improve the stability of film dewetting. Van der Waals force enlarges the disturbance on the film surface and leads to the decline of stability. Conversely, Born force and electrostatic force are propitious for the film evolving stably.
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Keywords:
- surfactant /
- dewetting /
- disjoining pressure /
- stability
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[6] Yan C J 2010 MS Thesis (Harbin: Harbin Institute of Technology) (in Chinese) [阎长江 2010 硕士学位论文 (哈尔滨: 哈尔滨工业大学)]
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[16] Bhakta A, Ruchkenstein E 1997 Adv. Colloid Interface Sci. 70 1
[17] Ye X M, Shen L, Li C X 2013 Journal of Xi’an Jiao Tong University 47 96 (in Chinese) [叶学民, 沈雷, 李春曦 2013 西安交通大学学报 47 96]
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[24] Nouar C, Kabouya N, Duesk J, Mamou M 2007 J. Fluid Mech. 577 211
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[26] 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]
[27] Peng J, Zhu K Q 2010 Chin. Phys. Lett. 27 044703
[28] Zhao Y P 2012 Physical Mechanics of Surfaces and Interfaces (Beijing: Science Press pp185–186m) (in Chinese) [赵亚溥 2012 表面与界面物理力学 (北京: 科学出版社) 第185–186页]
[29] Warner M R E, Craster R V, Matar O K 2004 J. Fluid Mech. 510 169
[30] Warner M R E, Craster R V 2004 Phys. Fluids 16 2933
[31] Akyurtlu A, Akyurtlu J F, Denison K S Jr Hamrin C E 1986 Comput. Chem. Eng. 10 213
[32] Li C X, Pei J J, Ye X M 2013 Acta Phys. Sin. 62 214704 (in Chinese) [李春曦, 裴建军, 叶学民 2013 物理学报 62 214704]
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[1] Brown M S, Brasz C F, Ventikos Y, Arnold C B 2012 J. Fluid Mech. 709 341
[2] Yuan Q Z, Zhao Y P 2010 Phys. Rev. Lett. 104 1
[3] Eom C B, Trolier-McKinstry S 2012 MRS Bulletin 37 1007
[4] Zhou Y J, Guo J G, Zhao Y P 2009 Chin. Phys. Lett. 26 222
[5] Lin J, Zheng Z J, Yu J L, Bai Y L 2009 Chin. Phys. Lett. 26 086802
[6] Yan C J 2010 MS Thesis (Harbin: Harbin Institute of Technology) (in Chinese) [阎长江 2010 硕士学位论文 (哈尔滨: 哈尔滨工业大学)]
[7] Ye X M, Shen L, Li C X 2012 CIESC J. 63 2507 (in Chinese) [叶学民, 沈雷, 李春曦 2012 化工学报 63 2507]
[8] Ye X M, Shen L, Li C X 2013 J. Comput Phys 30 361 (in Chinese) [叶学民, 沈雷, 李春曦 2013 计算物理 30 361]
[9] Craster R V, Matar O K 2009 Rev. Mod. Phys. 81 1131
[10] Warner M R E, Craster R V, Matar O K 2002 Phys. Fluids 14 1642
[11] Wu K, Huang Q H, Zhang H J, Liao Q, He P M 2012 Chin. Phys. B 21 037202
[12] Xie M H, Guo X, Xu Z J, He Y J 2013 Chin. Phys. B 22 068101
[13] Mahmood T, Amirtharajah A, Sturm T W, Dennett K E 2001 Colloid Surface A. 177 99
[14] Ghatak A Khanna R Sharma A 1999 J. Colloid Interf. Sci. 212 483
[15] Warner M R E, Craster R V, Matar O K 2002 Phys. Fluids 14 4040
[16] Bhakta A, Ruchkenstein E 1997 Adv. Colloid Interface Sci. 70 1
[17] Ye X M, Shen L, Li C X 2013 Journal of Xi’an Jiao Tong University 47 96 (in Chinese) [叶学民, 沈雷, 李春曦 2013 西安交通大学学报 47 96]
[18] Becker J, Grn G, Seemann R, Mantz H, Jacobs K, Mecke KR, Blossey R 2003 Nat. Mater. 2 59
[19] King J R, Mnch A, Wagner B A 2009 J. Eng. Math. 63 177
[20] Shklyaev S, Alabuzhev A A, Khenner M 2009 Phys. Rev. E 79 1
[21] Hu G H 2005 Phys. Fluids 17 1
[22] Wei Q, E W J 2012 Acta Phys. Sin. 61 103 (in Chinese) [魏琪, 鄂文汲 2012 物理学报 61 103]
[23] Fischer B J, Troian S M 2003 Phys. Rev. E 67 1
[24] Nouar C, Kabouya N, Duesk J, Mamou M 2007 J. Fluid Mech. 577 211
[25] Wang S L, Li C X, Ye X M 2011 CIESC J. 62 2512 (in Chinese) [王松岭, 李春曦, 叶学民 2011 化工学报 62 2512]
[26] 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]
[27] Peng J, Zhu K Q 2010 Chin. Phys. Lett. 27 044703
[28] Zhao Y P 2012 Physical Mechanics of Surfaces and Interfaces (Beijing: Science Press pp185–186m) (in Chinese) [赵亚溥 2012 表面与界面物理力学 (北京: 科学出版社) 第185–186页]
[29] Warner M R E, Craster R V, Matar O K 2004 J. Fluid Mech. 510 169
[30] Warner M R E, Craster R V 2004 Phys. Fluids 16 2933
[31] Akyurtlu A, Akyurtlu J F, Denison K S Jr Hamrin C E 1986 Comput. Chem. Eng. 10 213
[32] Li C X, Pei J J, Ye X M 2013 Acta Phys. Sin. 62 214704 (in Chinese) [李春曦, 裴建军, 叶学民 2013 物理学报 62 214704]
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