Abstract
The Landau problem on the evaporation front stability is generalized to the case of finite thickness of the evaporating liquid layer. The analysis of the influence of additional factors, the impermeability condition of solid wall and resulting pulsations of mass velocity, is carried out. Parametric calculations of the stability boundary are performed when changing the liquid film thickness and the relationship between phase densities in the framework of asymptotic Landau approach for the Reynolds number Re > 1. Approximate evaluation of the influence of liquid viscosity on the stability boundary has been done.
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L.D. Landau and E.M. Lifschitz, Fluid Mechanics. II Edition: Volume 6 (Course of Theoretical Physics S). Pergamon Press, Oxford, 1987.
Ya.B. Zeldovich, G.I. Barenblatt, V.B. Librovich, and G.M. Makhviladze, Mathematical theory of combustion and explosions, Nauka, Moscow, 1980.
A.N. Pavlenko and V.V. Lel, Approximate simulation model of a self-sustaining evaporating front, Thermophysics and Aeromechanics, 1999, Vol. 6, No 1, P. 105–117.
A.N. Pavlenko, E.A. Tairov, V.E. Zhukov, A.A. Levin, and M.I. Moiseev, Dynamics of transient processes at liquid boiling-up in the conditions of free convection and forced flow in a channel under nonstationary heat release, J. Engng Thermophysics, 2014, Vol. 23, No. 3, P. 173–193.
V.E. Zhukov, A.N. Pavlenko, M.I. Moiseev, and D.V. Kuznetsov, Propagation dynamics of self-sustained evaporation front and characteristics of small-scale perturbations at the interface, in: Proc. 15th Int. Heat Transfer Conf. (IHTC-15), Kyoto, Japan, 10–15 August 2014, IHTC 2014 — Report 8766.
A.N. Pavlenko, V.E. Zhukov, and I.P. Starodubtseva, Propagation of self-sustained evaporation fronts at stepwise heat generation and crisis phenomena at pool boiling, Comput. Thermal Sci., 2011, Vol. 3, No. 5, P. 419–426.
A.N. Pavlenko, A.S. Surtaev, I.P. Starodubtseva, O.A. Volodin, A.N. Chernyavskiy, A.N. Tsoy, and A.S. Pyatkov, Decay of falling wavy liquid films at nonstationary heat release, in: Proc. 14th Int. Heat Transfer Conf. (IHTC-14), Washington, USA, 8–13 August 2010, IHTC 2010-Report 22174.
S.N. Syromyatnikov and P.A. Pavlov, Instability of evaporating surface, High Temperature, 1998, Vol. 36, No. 2, P. 282–286.
M.A. Goldstik and W.N. Stern, Hydrodynamic Stability and Turbulence, Nauka, Novosibirsk, 1977.
L.G. Loitsyanskii, Mechanics of Liquids and Gases, Pergamon Press, Oxford, 1966.
D.A. Labuntsov, Physical Principles of Energetics. Selected Papers, MEI, Moscow, 2000.
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Zudin, Y. Landau instability at liquid film evaporation. Thermophys. Aeromech. 22, 285–296 (2015). https://doi.org/10.1134/S0869864315030026
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DOI: https://doi.org/10.1134/S0869864315030026