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Due to the complexity inside the drop after impact on solid surfaces and the interaction among gas, liquid and solid phases, it is difficult to investigate the shape variation of the drop through the theoretical analysis, and most studies have focused on experiments and numerical simulations. In this paper, expressions for empirical coefficients of inertia, viscosity and surface tension are acquired by analyzing the force state. The drop oscillation model after impact is built further. The expression of the drop spreading radius, and the effects of surface tension and viscosity on the spreading process are obtained. Finally, the correction factor in the drop oscillation model is determined and the feasibility of the model is verified by comparing the computational results with the numerical results.
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Keywords:
- droplet impact /
- oscillation /
- spreading radius/height /
- numerical simulation
[1] 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]
[2] Shen S Q, Cui Y Y, Guo Y L 2009 J. Therm. Sci. Technol. 8 194 (in Chinese) [沈胜强, 崔艳艳, 郭亚丽 2009 热科学与技术 8 194]
[3] Šikalo Š, Tropea C, Ganić E N 2005 Exp. Therm. Fluid Sci. 29 795
[4] Šikalo Š, Ganić E N 2006 Exp. Therm. Fluid Sci. 31 97
[5] Gunjal P R, Ranade V V, Chaudhari R V 2005 Aiche J. 51 59
[6] Bi F F, Guo Y L, Shen S Q, Chen J X, Li Y Q 2012 Acta Phys. Sin. 61 184702 (in Chinese) [毕菲菲, 郭亚丽, 沈胜强, 陈觉先, 李熠桥 2012 61 184702]
[7] Liang G T, Shen S Q, Guo Y L, Chen J X, Yu H, Li Y Q 2013 Acta Phys. Sin. 62 084707 (in Chinese) [梁刚涛, 沈胜强, 郭亚丽, 陈觉先, 于欢, 李熠桥 2013 62 084707]
[8] Shen S Q, Yu H, Guo Y L, Liang G T 2009 J. Therm. Sci. Technol. 12 20 (in Chinese) [沈胜强, 于欢, 郭亚丽, 梁刚涛 2009 热科学与技术 12 20]
[9] Zeng X H, Yang F, Qi L H, Luo J 2007 J. Northwestern Polytech. Univ. 25 528 (in Chinese) [曾祥辉, 杨方, 齐乐华, 罗俊 2007 西北工业大学学报 25 528]
[10] Lunkad S F, Buwa V V, Nigam K D P 2007 Chem. Eng. Sci. 62 7214
[11] Liang G T, Guo Y L, Shen S Q 2013 Acta Phys. Sin. 62 024705 (in Chinese) [梁刚涛, 郭亚丽, 沈胜强 2013 62 024705]
[12] Ma L Q, Liu M B, Chang J Z, Su T X, Liu H T 2012 Acta Phys. Sin. 61 244701 (in Chinese) [马理强, 刘谋斌, 常建忠, 苏铁熊, 刘汉涛 2012 61 244701]
[13] Sun Z H, Han R J 2008 Chin. Phys. B 17 3185
[14] Su T X, Ma L Q, Liu M B, Chang J Z 2013 Acta Phys. Sin. 62 064702 (in Chinese) [苏铁熊, 马理强, 刘谋斌, 常建忠 2013 62 064702]
[15] Gu Y, Li D 1998 Colloid Surf. A 142 243
[16] Gu Y, Li D 2000 Colloid Surf. A 163 239
[17] Mao T, Kuhn D C S, Tran H 1997 AIChE J. 43 2169
[18] Bennett T, Poulikakos D 1993 J. Mater. Sci. 28 963
[19] Attane P, Girard F, Morin V 2007 Phys. Fluids 19 012101
[20] Taylor G I 1993 The Scientific Papers of G.I. Taylor 3 (Cambridge: University Press)
[21] Taylor G I 1932 Proc. R. Soc. A 138 41
[22] Gao S Q 2010 Capillary Mechanics (Beijing: Higher Education Press) pp30-87 (in Chinese) [高士桥 2010 毛细力学 (北京:科学出版社) 第30–87页]
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[1] 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]
[2] Shen S Q, Cui Y Y, Guo Y L 2009 J. Therm. Sci. Technol. 8 194 (in Chinese) [沈胜强, 崔艳艳, 郭亚丽 2009 热科学与技术 8 194]
[3] Šikalo Š, Tropea C, Ganić E N 2005 Exp. Therm. Fluid Sci. 29 795
[4] Šikalo Š, Ganić E N 2006 Exp. Therm. Fluid Sci. 31 97
[5] Gunjal P R, Ranade V V, Chaudhari R V 2005 Aiche J. 51 59
[6] Bi F F, Guo Y L, Shen S Q, Chen J X, Li Y Q 2012 Acta Phys. Sin. 61 184702 (in Chinese) [毕菲菲, 郭亚丽, 沈胜强, 陈觉先, 李熠桥 2012 61 184702]
[7] Liang G T, Shen S Q, Guo Y L, Chen J X, Yu H, Li Y Q 2013 Acta Phys. Sin. 62 084707 (in Chinese) [梁刚涛, 沈胜强, 郭亚丽, 陈觉先, 于欢, 李熠桥 2013 62 084707]
[8] Shen S Q, Yu H, Guo Y L, Liang G T 2009 J. Therm. Sci. Technol. 12 20 (in Chinese) [沈胜强, 于欢, 郭亚丽, 梁刚涛 2009 热科学与技术 12 20]
[9] Zeng X H, Yang F, Qi L H, Luo J 2007 J. Northwestern Polytech. Univ. 25 528 (in Chinese) [曾祥辉, 杨方, 齐乐华, 罗俊 2007 西北工业大学学报 25 528]
[10] Lunkad S F, Buwa V V, Nigam K D P 2007 Chem. Eng. Sci. 62 7214
[11] Liang G T, Guo Y L, Shen S Q 2013 Acta Phys. Sin. 62 024705 (in Chinese) [梁刚涛, 郭亚丽, 沈胜强 2013 62 024705]
[12] Ma L Q, Liu M B, Chang J Z, Su T X, Liu H T 2012 Acta Phys. Sin. 61 244701 (in Chinese) [马理强, 刘谋斌, 常建忠, 苏铁熊, 刘汉涛 2012 61 244701]
[13] Sun Z H, Han R J 2008 Chin. Phys. B 17 3185
[14] Su T X, Ma L Q, Liu M B, Chang J Z 2013 Acta Phys. Sin. 62 064702 (in Chinese) [苏铁熊, 马理强, 刘谋斌, 常建忠 2013 62 064702]
[15] Gu Y, Li D 1998 Colloid Surf. A 142 243
[16] Gu Y, Li D 2000 Colloid Surf. A 163 239
[17] Mao T, Kuhn D C S, Tran H 1997 AIChE J. 43 2169
[18] Bennett T, Poulikakos D 1993 J. Mater. Sci. 28 963
[19] Attane P, Girard F, Morin V 2007 Phys. Fluids 19 012101
[20] Taylor G I 1993 The Scientific Papers of G.I. Taylor 3 (Cambridge: University Press)
[21] Taylor G I 1932 Proc. R. Soc. A 138 41
[22] Gao S Q 2010 Capillary Mechanics (Beijing: Higher Education Press) pp30-87 (in Chinese) [高士桥 2010 毛细力学 (北京:科学出版社) 第30–87页]
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