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Physical and mathematical models are established to simulate the phenomenon of single droplet impinging onto flat liquid film by using the coupled level set and volume of fluid method, and influences of viscosity and surface tension on the morphology of the crown liquid sheet are discussed. Besides, the mechanism of jet flow in the neck region is revealed and the theory of kinematic discontinuity proposed by Yarin and Weiss is verified by analyzing the distributions of pressure and velocity after impingement. The research result shows that the effect of surface tension on the crown morphology is far stronger than that of viscosity. Generation of jet flow is due to the higher pressure difference, the effect of which becomes weak with impact evolution and the jet flow is developed into the crown gradually with the help of radial flow in the liquid film.
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Keywords:
- drop impingement /
- liquid film /
- jet flow /
- liquid sheet
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[2] Vander Wal R, Berger G, Mozes S 2006 Exp. Fluids 40 53
[3] Vander Wal R, Berger G, Mozes S 2006 Exp. Fluids 40 33
[4] Yarin A L, Weiss D A 1995 J. Fluid Mech. 283 141
[5] Guo J H, Dai S Q, Dai Q 2010 Acta Phys. Sin. 59 2601 (in Chinese) [郭加宏, 戴世强, 代钦 2010 59 2601]
[6] Wang A B, Chen C C 2000 Phys. Fluids 12 2155
[7] Fedorchenko A I, Wang A B 2004 Phys. Fluids 16 1349
[8] Yan Y H, Shi Z Y, Yang F, Chen H X 2008 J. Shanghai University (Nat. Sci.) 14 399 (in Chinese) [严永华, 石自媛, 杨帆, 陈红勋 2008 上海大学学报(自然科学版) 14 399]
[9] Zhou Y, Guo J H, Chen H X 2010 Chi. J. Comput. Phys. 27 31 (in Chinese) [周轶, 郭加宏, 陈红勋 2010 计算物理 27 31]
[10] Ma L Q, Chang J Z, Liu H T, Liu M B 2012 Acta Phys. Sin. 61 054701 (in Chinese) [马理强, 常建忠, 刘汉涛, 刘谋斌 2012 61 054701]
[11] Xie H, Koshizuka S, Oka Y 2004 Int. J. Numer. Meth. Fluids 45 1009
[12] Shen S Q, Li Y, Guo Y L 2009 J. Eng. Thermophys. 30 2116 (in Chinese) [沈胜强, 李燕, 郭亚丽 2009 工程热 30 2116]
[13] Lee S, Hur N, Kang S 2011 J. Mech. Sci. Technol. 25 2567
[14] Song Y C, Wang C H, Ning Z 2011 Trans. Chi. Soc. Agric. Mach. 42 26 (in Chinese) [宋云超, 王春海, 宁智 2011 农业机械学报 42 26]
[15] Sussman M, Puckett E G 2000 J. Comput. Phys. 162 301
[16] Wang C H 2011 M. S. Dissertation (Beijing Jiaotong University) [王春海 2011 硕士学位论文 (北京:北京交通大学)]
[17] Tomar G, Biswas G, Sharma A, Agrawal A 2005 Phys. Fluids 17 112103
[18] Ohta M, Hashimoto K, Naito K, Matsuo Y, Sussman M 2012 J. Chem. Eng. Jpn. 45 102
[19] Liang G T, Shen S Q, Yang Y 2012 J. Therm. Sci. Technol. 11 8 (in Chinese) [梁刚涛, 沈胜强, 杨勇 2012 热科学与技术 11 8]
[20] Brackbill J U, Kothe D B, Zemach C 1992 J. Comput. Phys. 100 335
[21] Youngs D L 1982 Numerical Methods for Fluid Dynamics (1st Ed.) (New York: Academic Press) p273-285
[22] Liu W 2011 M. S. Dissertation (Nanjing University of Aeronautics and Astronautics) (in Chinese) [刘威 2011 硕士学位论文 (南京: 南京航空航天大学)]
[23] Thoroddsen S T 2002 J. Fluid Mech. 451 373
[24] Roisman I V, Tropea C 2002 J. Fluid Mech. 472 373
[25] Trujillo M F, Lee C F 2001 Phys. Fluids 13 2503
[26] Rieber M, Frohn A 1999 Int. J. Heat Fluid Flow 20 455
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[1] Cossali G E, Coghe A, Marengo M 1997 Exp. Fluids 22 463
[2] Vander Wal R, Berger G, Mozes S 2006 Exp. Fluids 40 53
[3] Vander Wal R, Berger G, Mozes S 2006 Exp. Fluids 40 33
[4] Yarin A L, Weiss D A 1995 J. Fluid Mech. 283 141
[5] Guo J H, Dai S Q, Dai Q 2010 Acta Phys. Sin. 59 2601 (in Chinese) [郭加宏, 戴世强, 代钦 2010 59 2601]
[6] Wang A B, Chen C C 2000 Phys. Fluids 12 2155
[7] Fedorchenko A I, Wang A B 2004 Phys. Fluids 16 1349
[8] Yan Y H, Shi Z Y, Yang F, Chen H X 2008 J. Shanghai University (Nat. Sci.) 14 399 (in Chinese) [严永华, 石自媛, 杨帆, 陈红勋 2008 上海大学学报(自然科学版) 14 399]
[9] Zhou Y, Guo J H, Chen H X 2010 Chi. J. Comput. Phys. 27 31 (in Chinese) [周轶, 郭加宏, 陈红勋 2010 计算物理 27 31]
[10] Ma L Q, Chang J Z, Liu H T, Liu M B 2012 Acta Phys. Sin. 61 054701 (in Chinese) [马理强, 常建忠, 刘汉涛, 刘谋斌 2012 61 054701]
[11] Xie H, Koshizuka S, Oka Y 2004 Int. J. Numer. Meth. Fluids 45 1009
[12] Shen S Q, Li Y, Guo Y L 2009 J. Eng. Thermophys. 30 2116 (in Chinese) [沈胜强, 李燕, 郭亚丽 2009 工程热 30 2116]
[13] Lee S, Hur N, Kang S 2011 J. Mech. Sci. Technol. 25 2567
[14] Song Y C, Wang C H, Ning Z 2011 Trans. Chi. Soc. Agric. Mach. 42 26 (in Chinese) [宋云超, 王春海, 宁智 2011 农业机械学报 42 26]
[15] Sussman M, Puckett E G 2000 J. Comput. Phys. 162 301
[16] Wang C H 2011 M. S. Dissertation (Beijing Jiaotong University) [王春海 2011 硕士学位论文 (北京:北京交通大学)]
[17] Tomar G, Biswas G, Sharma A, Agrawal A 2005 Phys. Fluids 17 112103
[18] Ohta M, Hashimoto K, Naito K, Matsuo Y, Sussman M 2012 J. Chem. Eng. Jpn. 45 102
[19] Liang G T, Shen S Q, Yang Y 2012 J. Therm. Sci. Technol. 11 8 (in Chinese) [梁刚涛, 沈胜强, 杨勇 2012 热科学与技术 11 8]
[20] Brackbill J U, Kothe D B, Zemach C 1992 J. Comput. Phys. 100 335
[21] Youngs D L 1982 Numerical Methods for Fluid Dynamics (1st Ed.) (New York: Academic Press) p273-285
[22] Liu W 2011 M. S. Dissertation (Nanjing University of Aeronautics and Astronautics) (in Chinese) [刘威 2011 硕士学位论文 (南京: 南京航空航天大学)]
[23] Thoroddsen S T 2002 J. Fluid Mech. 451 373
[24] Roisman I V, Tropea C 2002 J. Fluid Mech. 472 373
[25] Trujillo M F, Lee C F 2001 Phys. Fluids 13 2503
[26] Rieber M, Frohn A 1999 Int. J. Heat Fluid Flow 20 455
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