Abstract
The free surface of a liquid film exposed to a laser beam is deformed and suffers a rupture. Depending on the thermal load intensity and the thermal properties of the liquid the rupture can be accompanied by the formation of secondary droplets over the film crown. This process is investigated using a mathematical model describing the motion of the thin layer of a viscous nonisothermal liquid. The model is based on the two-dimensional Navier–Stokes equations. The boundary conditions at the film-gas and film-liquid interfaces necessary for the solution of these equations are derived in the explicit form. The results of the solution of model problems are presented.
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References
F. Rodriguez and R.J. Mesler, “Some Drops Don’t Splash,” Colloid Interface Sci. 106, 247 (1985).
H.N. Oguz and A. Prosperetti, “Bubble Entrainment by the Impact of Drop on Liquid Surfaces,” J. Fluid Mech. 219, 143 (1990).
M.J. Rein, “The Transition Regime between Coalescing and Splashing Drops,” J. Fluid Mech. 306, 145 (1996).
S.L. Manzello and J.C. Yang, “An Experimental Study of a Water Droplet Impinging on a Liquid Surface,” Exp. Fluids 32, 580 (2000).
A.B. Wang and C.C. Chen, “Splashing Impact of a Single Drop onto Very Thin Liquid Films,” Phys. Fluids 12, 2155 (2000).
V.A. Arkhipov and V.F. Trofimov, “Secondary Droplet Formation upon the Impact Interaction of a Droplet with a Liquid Surface,” Zh. Prikl. Mekh. Tekhn. Fiz. 46 (1), 55 (2005).
T. Jiang, D. Ouyang, H. Li, D. Ren, and S. Wang, “Numerical Investigation of the Dynamics of the Droplet Impingement on a Liquid Surface with the Formation of a Crown,” Zh. Prikl. Mekh. Tekhn. Fiz. 54 (5), 38 (2013).
J. Eggers, “Nonlinear Dynamics and Breakup of Free-Surfaces Flows,” Rev. Mod. Phys. 69, 865 (1997).
I.B. Ivanov, B. Radoev, E. Manev, and A. Scheludko, “The Theory of the Critical Thickness of Rupture of Thin Liquid Films,” Trans. Faraday Soc. 66, 1262 (1970).
Yu.K. Bratukhin, A.L. Zuev, K.G. Kostarev, and A.V. Shmyrov, “Stability of a Steady-State Discontinuity of a Fluid Layer on the Surface of an Immiscible Fluid,” Fluid Dynamics 44 (3), 340 (2009).
N.E. Kochin, I.A. Kibel’, and N.V. Roze, Theoretical Hydromechanics. Vol. 2 [in Russian], Fizmatgiz, Moscow (1963).
P.J. Roache, Computational Fluid Dynamics, Hermosa Publishers, New Mexico (1976).
L.G. Napolitano, “Thermodynamics and Dynamics of Surface Phases,” Acta Astronaut. 6, 1093 (1979).
V.V. Pukhnachev, “Conditions on Fluids between Interfaces and SolidWalls,” in: V.K. Andreev, Yu.A. Gaponenko, O.N. Goncharova, and V.V. Pukhnachev, Modern Mathematical Models of Convection [in Russian], Fizmatlit, Moscow (2008), p. 36.
A.A. Abramson and E.D. Shchukin (eds.), Handbook on Surface Phenomena and Surface Active Agents [in Russian], Khimiya, Leningrad (1984).
A.S. Ovcharova, “Distinctive Features of the Behavior of a Liquid Film Lying on a Deep Liquid and Heated from Above,” Zh. Vychisl. Mat. Mat. Fiz. 53, 136 (2013).
A.S. Ovcharova, “Numerical Modeling of Deformation of Freely Hanging Films under the Action of a Thermal Load,” Vychisl. Tekhnol. 12 (4), 85 (2007).
A.S. Ovcharova, “Features of the Rupture of Free Hanging Liquid Film under the Action of a Thermal Load,” Phys. Fluids 23, 102106 (2011).
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Original Russian Text © A.S. Ovcharova, 2016, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2016, Vol. 51, No. 1, pp. 96–104.
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Ovcharova, A.S. Formation of a secondary droplet over the crown upon the liquid film rupture under the action of a laser beam. Fluid Dyn 51, 99–108 (2016). https://doi.org/10.1134/S0015462816010129
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DOI: https://doi.org/10.1134/S0015462816010129