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Impact of oil droplet on oil film usually takes place in the lubrication process of rotating mechanical parts and machinery which can easily lead to bubble entrainment. Bubbles have important influences on the motion process of the oil droplet impacting on the oil film and also on the formation quality of the oil film layer. An oil droplet impacting on the oil film which contains a bubble is simulated numerically based on the coupled level set and the method of determining volume fraction. The bubble deformation process in the oil film during an oil droplet impacting on the oil film is investigated by the simulation method. The influences of the bubble size and the bubble position on the bubble deformation characteristic are also analyzed. The dynamic mechanism of the bubble rupture is discussed. The numerical results show that as the oil droplet impacts on the oil film, the bubble may rupture on the free surface, presenting stable deformation, or rupture in the oil film, which is greatly influenced by the bubble size. When the bubble diameter is in a range between 10 m and 20 m, the bubble deformation becomes more serious with the increase of bubble diameter, and the rupture of bubble on the free surface may occur over time. When the bubble diameters are in a range between 20 m and 30 m, the bubble rupture occurs in a short time after the bubble has reached a maximum deformation, and there is no obvious relationship between the maximum bubble deformation and the bubble diameter. The diameter of 20 m is a critical value for a bubble to rupture on a free surface or inside an oil film, with which a bubble can keep stable in an oil film layer. As the bubble position changes, the bubble deformation process changes correspondingly. Under the same impact conditions, bubbles at the top of the oil film are more likely to deform than those in the center of the oil film. Bubbles at the bottom of the oil film have the smallest total deformation and finally attach to the wall. The bubble rupture is caused by the instability of the gas-liquid interface and the surface tension. The viscous shear force also plays an important role when the bubble rupture takes place in the oil film.
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Keywords:
- oil droplet /
- oil film /
- bubble rupture /
- numerical simulation
[1] Peduto D 2015 Ph. D. Dissertation (Karlsruhe: Karlsruhe Institute of Technology)
[2] Rioboo R, Bauthier C, Conti J, Vou M, de Coninck J 2003 Exp. Fluids 35 648
[3] Okawa T, Shiraishi T, Mori T 2006 Exp. Fluids 41 965
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[5] Song Y C, Ning Z, Sun C H, Lyu M, Yan K, Fu J 2013 Chin. J. Theor. Appl. Mech. 45 833(in Chinese) [宋云超, 宁智, 孙春华, 吕明, 阎凯, 付娟 2013 力学学报 45 833]
[6] 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]
[7] Bisighini A 2010 Ph. D. Dissertation (Bergamo: University of Bergamo)
[8] Rein M 1996 J. Fluid Mech. 306 145
[9] Blanchette F, Bigioni T P 2009 J. Fluid Mech. 620 333
[10] Chen X, Mandre S, Feng J J 2006 Phys. Fluids 18 051705
[11] Ray B, Biswas G, Sharma A 2010 J. Fluid Mech. 655 72
[12] Thoraval M J, Li Y, Thoroddsen S T 2016 Phys. Rev. E 93 033128
[13] Pumphrey H C, Elmore P A 1990 J. Fluid Mech. 220 539
[14] Pumphrey H C, Crum L A, Bj rn L 1989 J. Acoust. Soc. Am. 85 1518
[15] Oguz H N, Prosperetti A 1990 J. Fluid Mech. 219 143
[16] Zou J, Ji C, Yuan B G, Ren Y L, Ruan X D, Fu X 2012 Phys. Fluids 24 057101
[17] Wang A B, Kuan C C, Tsai P H 2013 Phys. Fluids 25 1518
[18] Deng Q, Anilkumar A V, Wang T G 2007 J. Fluid Mech. 578 119
[19] Thoroddsen S T, Thoaval M T, Takehara K, Etoh T G 2012 J. Fluid Mech. 708 469
[20] Sigler J, Mesler R 1990 J. Colloid Interface Sci. 134 459
[21] Saylor J R, Bounds G D 2012 AIChE J. 58 3841
[22] Sussman M, Puckett E G 2000 J. Comput. Phys. 162 301
[23] Guo Y L, Wei L, Liang G T, Shen S Q 2014 Int. Commun. Heat Mass. 53 26
[24] Wang Z, Li Y, Huang B, Gao D M 2016 J. Mech. Sci. Technol. 30 2547
[25] Ohta M, Kikuchi D, Yoshida Y, Sussman M 2011 Int. J. Multiphase Flow 37 1059
[26] Fan W, Qi T, Sun Y W, Zhu P, Chen H 2016 Chem. Eng. Technol. 39 1895
[27] Brackbill J U, Kothe D B, Zemach C 1992 J. Comput. Phys. 100 335
[28] Cossali G E, Marengo M, Coghe A, Zhdanov S 2004 Exp. Fluids 36 888
[29] Feonychev A I 2007 J. Eng. Phys. Thermophys. 80 961
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[1] Peduto D 2015 Ph. D. Dissertation (Karlsruhe: Karlsruhe Institute of Technology)
[2] Rioboo R, Bauthier C, Conti J, Vou M, de Coninck J 2003 Exp. Fluids 35 648
[3] Okawa T, Shiraishi T, Mori T 2006 Exp. Fluids 41 965
[4] 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]
[5] Song Y C, Ning Z, Sun C H, Lyu M, Yan K, Fu J 2013 Chin. J. Theor. Appl. Mech. 45 833(in Chinese) [宋云超, 宁智, 孙春华, 吕明, 阎凯, 付娟 2013 力学学报 45 833]
[6] 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]
[7] Bisighini A 2010 Ph. D. Dissertation (Bergamo: University of Bergamo)
[8] Rein M 1996 J. Fluid Mech. 306 145
[9] Blanchette F, Bigioni T P 2009 J. Fluid Mech. 620 333
[10] Chen X, Mandre S, Feng J J 2006 Phys. Fluids 18 051705
[11] Ray B, Biswas G, Sharma A 2010 J. Fluid Mech. 655 72
[12] Thoraval M J, Li Y, Thoroddsen S T 2016 Phys. Rev. E 93 033128
[13] Pumphrey H C, Elmore P A 1990 J. Fluid Mech. 220 539
[14] Pumphrey H C, Crum L A, Bj rn L 1989 J. Acoust. Soc. Am. 85 1518
[15] Oguz H N, Prosperetti A 1990 J. Fluid Mech. 219 143
[16] Zou J, Ji C, Yuan B G, Ren Y L, Ruan X D, Fu X 2012 Phys. Fluids 24 057101
[17] Wang A B, Kuan C C, Tsai P H 2013 Phys. Fluids 25 1518
[18] Deng Q, Anilkumar A V, Wang T G 2007 J. Fluid Mech. 578 119
[19] Thoroddsen S T, Thoaval M T, Takehara K, Etoh T G 2012 J. Fluid Mech. 708 469
[20] Sigler J, Mesler R 1990 J. Colloid Interface Sci. 134 459
[21] Saylor J R, Bounds G D 2012 AIChE J. 58 3841
[22] Sussman M, Puckett E G 2000 J. Comput. Phys. 162 301
[23] Guo Y L, Wei L, Liang G T, Shen S Q 2014 Int. Commun. Heat Mass. 53 26
[24] Wang Z, Li Y, Huang B, Gao D M 2016 J. Mech. Sci. Technol. 30 2547
[25] Ohta M, Kikuchi D, Yoshida Y, Sussman M 2011 Int. J. Multiphase Flow 37 1059
[26] Fan W, Qi T, Sun Y W, Zhu P, Chen H 2016 Chem. Eng. Technol. 39 1895
[27] Brackbill J U, Kothe D B, Zemach C 1992 J. Comput. Phys. 100 335
[28] Cossali G E, Marengo M, Coghe A, Zhdanov S 2004 Exp. Fluids 36 888
[29] Feonychev A I 2007 J. Eng. Phys. Thermophys. 80 961
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